bigram

This is a table of type bigram and their frequencies. Use it to search & browse the list to learn more about your study carrel.

bigram	frequency
novel coronavirus	218
differential equations	173
reproduction number	151
sir model	146
infected individuals	144
optimal control	141
fractional order	141
infectious diseases	125
fractional derivative	123
social distancing	121
basic reproduction	118
confirmed cases	112
mathematical model	111
coronavirus disease	106
epidemic model	105
time series	91
transmission dynamics	90
public health	90
infected population	86
free equilibrium	84
epidemic spreading	83
new cases	81
infected people	80
asymptotically stable	79
endemic equilibrium	73
proposed model	73
total number	73
machine learning	70
infected cases	67
deep learning	66
infectious disease	62
stock markets	62
fractional differential	59
chaos solitons	59
mathematical models	59
solitons fractals	59
doc id	58
fractals doi	58
cord uid	58
disease transmission	58
susceptible individuals	57
control measures	57
model parameters	56
total population	53
seir model	52
initial conditions	51
susceptible population	50
authors declare	49
contact tracing	49
control strategies	49
sensitivity analysis	47
cryptocurrency markets	47
real data	46
respiratory syndrome	45
incubation period	44
recovery rate	43
world health	42
health organization	42
backward bifurcation	42
per day	40
financial interests	39
personal relationships	39
locally asymptotically	39
fractional calculus	39
daily new	38
mathematical modelling	38
mutation rate	38
see table	37
acute respiratory	37
numerical solution	36
mathematical modeling	36
ordinary differential	36
different countries	36
modelling study	36
fractional derivatives	35
information diffusion	35
south korea	35
differential equation	35
caputo fractional	35
social media	35
parameter values	34
numerical simulations	34
infectious individuals	33
brownian motion	33
severe acute	32
death rate	32
neural network	32
health care	32
white noise	32
transmission rate	32
growth rate	31
epidemic threshold	31
high risk	30
competing financial	30
asymptomatic infectious	30
epidemic peak	29
case study	29
globally asymptotically	29
disease information	29
mortality rate	29
equilibrium point	29
model based	28
work reported	28
known competing	28
large number	28
asymptomatic individuals	27
control problem	27
reproductive number	27
epidemic models	27
contact rate	27
risk group	27
slow system	27
disease free	26
epidemic dynamics	26
cumulative number	26
sir epidemic	26
reported cases	26
dynamical systems	25
fractional optimal	25
infected individual	25
hiv aids	25
hubei province	25
incidence rate	24
recovered individuals	24
recovered cases	24
failure rate	24
artificial intelligence	24
next generation	24
parameter estimation	24
epidemiological data	24
exposed individuals	24
coronavirus outbreak	24
mitigation strategies	23
disease spread	23
epidemiological models	23
driven analysis	23
asymptomatic infected	23
vaccine failure	23
new fractional	23
derivative order	23
disease dynamics	23
generation matrix	23
asymptomatic cases	23
training data	22
heilongjiang province	22
equilibrium points	22
strict social	22
global stability	22
mathematical theory	22
early detection	22
control strategy	21
infected person	21
arima model	21
health interventions	21
state variables	21
ray images	21
vaccinated individuals	21
asymptomatic infectives	21
corona virus	21
singular kernel	20
different values	20
social distance	20
see text	20
operational matrix	20
numerical solutions	20
syndrome coronavirus	20
time period	20
pharmaceutical interventions	20
april th	20
second wave	20
time step	20
data set	19
time delay	19
united states	19
numerical simulation	19
international spread	19
asymptomatic patients	19
moving average	19
transmission model	19
initial condition	19
symptomatic infected	18
situation report	18
order model	18
order differential	18
active cases	18
herd immunity	18
population size	18
jacobian matrix	18
fractional white	18
asymptotic stability	18
isolation room	18
low risk	18
infection cases	18
stochastic model	18
susceptible people	18
zone mobilization	17
second equation	17
preventive measures	17
virus disease	17
infectious cases	17
logistic model	17
unique solution	17
stability analysis	17
mean value	17
fractional model	17
recurrent mobility	17
affected countries	17
infection rate	16
public places	16
early phase	16
positive equilibrium	16
spreading dynamics	16
numerical results	16
confirmed covid	16
case fatality	16
riesz wavelets	16
immune system	16
among individuals	16
virus infection	16
new infection	16
characteristic equation	16
sirs model	16
raw data	16
financial crisis	16
infected patients	16
susceptible individual	16
early dynamics	16
time interval	16
social networks	16
wbf model	15
lyapunov function	15
potential domestic	15
social contacts	15
risk assessment	15
initial value	15
fatality rate	15
third equation	15
real world	15
ncov outbreak	15
vaccination behavior	15
epidemic spread	15
neural networks	15
mathematical analysis	15
outbreak originating	15
infected class	15
sidarthe model	15
whole population	15
exposed class	15
two types	15
new covid	14
quarantine control	14
symptomatic infectious	14
global sensitivity	14
time forecasts	14
turning point	14
new coronavirus	14
caputo derivative	14
confirmed infected	14
integer order	14
fractional brownian	14
two different	14
lyapunov exponents	14
convolutional neural	14
latent period	14
stochastic differential	14
compartmental models	14
exponential growth	14
daily growth	14
available data	14
international stock	14
new data	14
complex networks	14
quarantine measures	14
inter zone	13
epidemic disease	13
final size	13
numerical method	13
chest ct	13
order sidarthe	13
asymptotically infected	13
one hand	13
mild cases	13
moulton method	13
new infected	13
infected i	13
different fractional	13
i ic	13
epidemic diseases	13
chaotic behavior	13
apen variance	13
operating procedures	13
various countries	13
rapid test	13
beltrami operator	13
fabrizio fractional	13
positive cases	13
observed data	13
become susceptible	13
adaptive process	13
initial values	13
infected density	13
given time	13
infection rates	13
compartmental model	13
infected cells	13
policy makers	13
fractional differentiation	13
simulation results	13
apen mean	12
legendre polynomial	12
initial data	12
disease model	12
pandemic lle	12
lstm networks	12
class i	12
markov chain	12
average time	12
time evolution	12
relative cost	12
stochastic epidemic	12
nonlinear fractional	12
fractional integral	12
incremental learning	12
local stability	12
stationary distribution	12
epidemiological model	12
reproduction numbers	12
data sets	12
long time	12
series forecasting	12
pandemic apen	12
lockdown period	12
recorded data	12
wick product	12
causal variables	12
networked population	12
inflection point	12
coupled slow	12
control variables	12
pandemic covid	12
peak number	12
sirsi model	12
published data	12
natural death	12
widely used	12
disease outbreaks	12
days ahead	12
learning techniques	12
dynamical system	12
lle mean	12
health system	12
two positive	12
numerical scheme	12
mobility pattern	12
biological systems	12
condom use	12
lockdown rate	12
competing interests	12
lle variance	12
saturated incidence	12
control problems	12
transfer learning	11
hybrid model	11
equity markets	11
disease will	11
lancet infectious	11
novel corona	11
epidemic data	11
role models	11
viral infection	11
infected players	11
using mathematical	11
following theorem	11
stochastic models	11
total infected	11
containment rate	11
host dynamics	11
model predictions	11
series data	11
state individuals	11
ebola virus	11
negative real	11
new infections	11
clinical characteristics	11
pure birth	11
estimated parameters	11
ct images	11
five different	11
even though	11
necessary conditions	11
order derivative	11
cases data	11
average number	11
population fraction	11
cases reported	11
learning approach	11
decision making	11
update rule	11
without singular	11
first equation	11
global pandemic	11
nucleotide mutation	11
driven adaptive	11
classic sir	11
using machine	11
infectious individual	11
cruise ship	11
lockdown effect	11
health authorities	11
basic reproductive	11
pairwise approach	11
common areas	11
individuals will	11
following result	11
order derivatives	11
using deep	11
boundary arc	11
results show	11
mean time	11
human population	11
different strategies	11
quarantine actions	11
asymptomatic class	11
many countries	11
fractional operators	10
south africa	10
transition rate	10
incubation time	10
series analysis	10
life expectancy	10
baleanu fractional	10
surge periods	10
smoothed pseudo	10
theoretical results	10
east respiratory	10
genomic sequence	10
tridip sardar	10
becomes available	10
approximate entropy	10
global health	10
intensive care	10
cumulative cases	10
detected infected	10
hybrid arima	10
discussion rate	10
first case	10
model using	10
interests personal	10
individuals become	10
spectral radius	10
coronavirus covid	10
epidemic outbreak	10
proposed fractional	10
pandemic period	10
generalized adams	10
myopic update	10
behavioral change	10
aids epidemic	10
corresponding author	10
th may	10
lstm model	10
human transmission	10
transmission risk	10
mutation rates	10
become infected	10
dashed curves	10
people will	10
containment measures	10
based study	10
original draft	10
reported data	10
will eventually	10
cases will	10
epidemic duration	10
incidence data	10
numerical analysis	10
law growth	10
epidemic topic	10
face masks	10
dynamic model	10
following financial	10
type models	10
developing countries	10
power law	10
different types	10
publicly available	10
interactive topics	10
middle east	10
confinement measures	10
cumulative case	10
infected persons	10
isolated slow	10
forecasting model	10
countries around	10
princess cruise	9
learning technique	9
people increases	9
learning based	9
real parts	9
following form	9
attack rate	9
endemic equilibria	9
constant rate	9
tests per	9
epidemic control	9
first days	9
imposed quarantine	9
effective contact	9
will also	9
death toll	9
till may	9
correlation coefficient	9
diamond princess	9
mean square	9
clinical features	9
mathematical epidemiology	9
topic discussion	9
null hypothesis	9
free networks	9
expected number	9
care facilities	9
based models	9
unreported symptomatic	9
term memory	9
female sex	9
probability distribution	9
sei i	9
projection coordinates	9
different scenarios	9
mobility possibility	9
every day	9
total cases	9
data becomes	9
case projection	9
many researchers	9
potential competing	9
zika virus	9
wuhan city	9
infectious rate	9
short time	9
covid epidemic	9
mainland china	9
hiv infection	9
human mobility	9
global asymptotic	9
see appendix	9
time markov	9
memory effect	9
epidemic outbreaks	9
disease burden	9
drug discovery	9
hopkins university	9
network structure	9
informed individuals	9
gene sequence	9
proposed method	9
short term	9
value problem	9
population will	9
novel covid	9
likely due	9
maximum number	9
experimental results	9
autoregressive integrated	9
liouville fractional	9
riesz wavelet	9
time span	9
integrated moving	9
law network	9
early stage	9
sex workers	9
complete lockdown	9
coronavirus infections	9
proposed hybrid	9
distancing measures	9
actual data	9
learning model	9
recent years	8
virus spreads	8
i will	8
first time	8
square error	8
th january	8
rate due	8
gives us	8
time periods	8
dengue fever	8
population dynamics	8
model without	8
epidemic will	8
stereographic projection	8
time dependent	8
optimization problem	8
good agreement	8
receding horizon	8
will help	8
control theory	8
complex dynamics	8
population due	8
learning algorithm	8
stock market	8
effective reproduction	8
situation reports	8
allows us	8
first two	8
collocation method	8
value function	8
images using	8
numerical experiments	8
two time	8
death cases	8
stability results	8
current covid	8
every days	8
transmission rates	8
modified seir	8
partial differential	8
effective way	8
direct contact	8
current pandemic	8
estimated parameter	8
deterministic model	8
network model	8
supplementary material	8
effectiveness analysis	8
term forecasts	8
proposed approach	8
model simulation	8
infected pneumonia	8
adaptive networks	8
three categories	8
susceptible class	8
well known	8
sk shahid	8
initial population	8
preliminary estimation	8
time steps	8
following system	8
objective functional	8
physical distancing	8
following equation	8
second derivative	8
infections generated	8
previous studies	8
vaccine efficacy	8
natural science	8
newly infected	8
caputo sense	8
ongoing covid	8
coronavirus pandemic	8
disease spreading	8
epidemic prevalence	8
early transmission	8
review editing	8
deep convolutional	8
pandemic outbreak	8
least one	8
based transmissibility	8
present study	8
overall india	8
leffler kernel	8
comparative study	8
science foundation	8
refinable functions	8
quarantine effectiveness	8
virus spread	8
bibliometric analysis	8
spreading process	8
lyapunov functions	8
symptomatic individuals	8
based forecasting	8
intervention strategies	8
cases per	8
epidemic peaks	8
protective measures	8
adaptive network	8
johns hopkins	8
known infectives	8
long short	8
acquired immunity	8
cumulative confirmed	8
case incidence	8
estimated value	8
big data	8
codon mutation	8
computational simulations	8
recovered person	8
real time	8
patients infected	8
using real	8
seir epidemic	8
logistic curve	8
permanent immunity	8
major role	7
observed daily	7
derivative without	7
largest lyapunov	7
disease caused	7
control measure	7
infection probability	7
sir models	7
three different	7
infected case	7
become cure	7
social network	7
section presents	7
versus time	7
search volume	7
forecasting covid	7
first day	7
support vector	7
isolation control	7
incidence curve	7
real part	7
generalized logistic	7
effective strategy	7
hiv disease	7
approach based	7
adaptive behavior	7
human behavior	7
factors affecting	7
clinical symptoms	7
prediction error	7
see also	7
statistical methods	7
fast time	7
recurrent neural	7
epidemiological parameters	7
sensitivity indices	7
nonlinear incidence	7
new model	7
regression tree	7
quarantined individuals	7
necessary optimality	7
model will	7
using lstm	7
deep transfer	7
new mathematical	7
optimal policy	7
partial rank	7
time window	7
different parameters	7
stable whenever	7
new york	7
dependent control	7
best fit	7
mild symptoms	7
active infected	7
healthy cells	7
sars coronavirus	7
rapid testing	7
bifurcation analysis	7
order systems	7
contact network	7
reduce social	7
present paper	7
residual series	7
infected compartment	7
lipschitz condition	7
stochastic process	7
recovered population	7
fast system	7
epidemic starts	7
million people	7
maximum principle	7
nonsingular kernel	7
commonly used	7
references therein	7
unique endemic	7
strict lockdown	7
isolated individuals	7
baleanu derivative	7
learning algorithms	7
laplace transform	7
viral load	7
projection using	7
population density	7
vaccination cost	7
may th	7
dimensional sphere	7
data available	7
birth process	7
previous section	7
risk factors	7
final state	7
recent studies	7
reported symptomatic	7
matrix method	7
optimality conditions	7
boundary control	7
general incidence	7
learning approaches	7
saudi arabia	7
actions taken	7
world data	7
least square	7
boundary value	7
rank correlation	7
optimal controls	7
imperfect lockdown	7
unaware infectives	7
continuously evolving	7
total cumulative	7
regression model	7
total infections	7
major cities	7
leffler function	7
recovery rates	7
unique positive	7
hospitalized patients	7
long term	7
parameter estimates	7
exact solution	7
northern italy	7
statistical analysis	7
distribution function	7
days since	7
updated estimation	7
age group	7
coronavirus epidemic	7
green curve	7
qualitative analysis	7
us consider	7
performance measures	7
face mask	7
unquarantined asymptomatic	7
compulsory containment	7
positive equilibria	7
march th	7
new approach	7
vaccination strategy	7
accumulated number	7
will become	7
logistic growth	7
disease control	7
reported infectious	7
control reproduction	7
exposed people	7
integral equations	7
center manifold	7
random walk	7
per unit	7
forecasting using	7
following fractional	7
order system	7
interaction radius	7
main results	7
global financial	7
interactive topic	6
will lead	6
many governments	6
fourth equation	6
computed tomography	6
memory impact	6
hong kong	6
governmental action	6
two months	6
discrete time	6
learning models	6
induced optimization	6
root mean	6
local asymptotic	6
stochastic simulations	6
data curation	6
will decrease	6
european countries	6
different states	6
continuous curves	6
preventive isolation	6
dt corr	6
without control	6
model parameter	6
human body	6
external factors	6
positive constants	6
integral equation	6
currently infected	6
intellectual property	6
infection dynamics	6
three major	6
population i	6
fractional operator	6
infection transmission	6
sis model	6
control interventions	6
blood samples	6
disease outbreak	6
different ways	6
compartment i	6
forecasting models	6
will increase	6
event rate	6
ten days	6
data points	6
respiratory droplets	6
yule process	6
using reduction	6
order epidemic	6
outbreak size	6
host population	6
quarantine period	6
type fractional	6
epidemic analysis	6
data used	6
induced death	6
fractional integro	6
overall population	6
reproduction ratio	6
series model	6
spread among	6
western countries	6
cases generated	6
dynamical behavior	6
control function	6
hypercube sampling	6
limited resources	6
individual may	6
positive covid	6
driven receding	6
health measures	6
following expression	6
following results	6
three distinct	6
model dynamics	6
african countries	6
infectious class	6
input variables	6
infection will	6
forward sensitivity	6
gaussian process	6
recovered patients	6
different population	6
results found	6
classical sir	6
medical professionals	6
overall number	6
longer time	6
equation model	6
hospital beds	6
cumulative reported	6
asymptomatic duration	6
every time	6
health systems	6
individual reaction	6
adjusted estimation	6
series prediction	6
social connections	6
lyapunov exponent	6
per people	6
controlling covid	6
tamil nadu	6
undocumented infection	6
aerosol sanitizer	6
model predicts	6
steady state	6
waiting time	6
following equations	6
exponential decay	6
individual i	6
poisson distribution	6
coronavirus infection	6
homogeneous mixing	6
fatality rates	6
epidemic growth	6
hand side	6
antiviral drugs	6
sensitive parameters	6
symptomatic cases	6
switching times	6
vkr chimmula	6
noise intensity	6
better understanding	6
seir models	6
based model	6
order models	6
disease persists	6
control policy	6
population phases	6
local outbreak	6
isolation factor	6
chaotic systems	6
wide interventions	6
model used	6
differential operators	6
control analysis	6
time fractional	6
will reduce	6
two groups	6
national natural	6
heterogeneous populations	6
data collected	6
endemic disease	6
two scenarios	6
infected country	6
approximate solution	6
may help	6
three countries	6
vaccine cost	6
various operating	6
sensitivity index	6
late december	6
per capita	6
susceptibility feedback	6
wearing face	6
declared covid	6
order sei	6
spreading processes	6
data driven	6
virus tests	6
factors like	6
critical model	6
five countries	6
disease characteristics	6
new outbreak	6
confirmed case	6
shahid nadim	6
degree distribution	6
significant parameters	6
human liver	6
health emergency	6
induced mortality	6
vaccination policy	6
zero eigenvalue	6
remedial steps	6
research work	6
standard sir	6
distancing rule	6
time system	6
will provide	6
time data	6
following two	6
heat transfer	6
virus will	6
coupling within	6
dynamic behavior	6
novel approach	6
new training	6
evolving training	6
remains constant	6
one month	6
contact networks	6
three months	6
manifold theory	6
stochastic calculus	6
five days	6
social mixing	6
natural immunization	6
mapping function	6
systematic review	6
epidemics trend	6
density function	6
secondary infection	6
logistic equation	6
population biology	6
public opinion	6
virus test	6
restrictive measures	6
hospitalized infected	6
normalized forward	6
systems biology	6
model calibration	6
data analysis	6
epidemic situation	6
rna virus	6
vector regression	6
order calculus	6
lundberg process	5
chaotic system	5
population phase	5
people i	5
control model	5
publicly reported	5
detailed study	5
singular fractional	5
new study	5
new type	5
see figs	5
infection facilitates	5
infection period	5
based approaches	5
greatest potential	5
invariant set	5
testing positive	5
horizon control	5
hemorrhagic fever	5
contacts among	5
us denote	5
day basis	5
wavelet function	5
since april	5
large set	5
numerical approximation	5
weather variables	5
display mode	5
pcr testing	5
multiplex networks	5
driven infectious	5
predicting covid	5
constant value	5
better performance	5
artificial neural	5
analysis method	5
generated using	5
may also	5
air travel	5
data mining	5
potential impact	5
quarantine class	5
will use	5
nonlinear system	5
positive root	5
compartmental mathematical	5
four countries	5
latin hypercube	5
least squares	5
higher compared	5
real contagion	5
influential parameters	5
stochastic sir	5
hybridized mode	5
next section	5
extended legendre	5
sample forecasts	5
epidemic trend	5
limited data	5
host will	5
controlled natural	5
john hopkins	5
bifurcation phenomenon	5
boundary conditions	5
deep neural	5
relevant departments	5
clusters distributed	5
infectious period	5
significantly affect	5
one sentence	5
financial support	5
vanishing moments	5
may occur	5
second interval	5
decision makers	5
segmented poisson	5
parameters using	5
individuals greatly	5
integral operators	5
optimal solution	5
first stage	5
large scale	5
also shown	5
million deaths	5
proposed sirsi	5
unknown parameters	5
results obtained	5
voluntary vaccination	5
vaccine production	5
delayed sir	5
memory cell	5
future cases	5
dynamics model	5
prompt isolation	5
specify contribution	5
deterministic models	5
complex models	5
endemic state	5
time profile	5
two weeks	5
world problems	5
also given	5
wuhan novel	5
using three	5
using fractional	5
model equations	5
nationwide lockdown	5
infected covid	5
natural recovery	5
notified cases	5
transfer model	5
covid cases	5
infectious population	5
organizing maps	5
important parameters	5
strict control	5
birth rate	5
imperfect vaccination	5
peak time	5
research area	5
temporal components	5
individuals increases	5
early epidemic	5
term forecasting	5
advises orders	5
model takes	5
future work	5
sufficiently small	5
respiratory illness	5
algorithm based	5
optimization algorithm	5
model described	5
spreading probability	5
future covid	5
structured models	5
healthy individuals	5
important role	5
singular arc	5
detection probability	5
global dynamics	5
will give	5
asymptomatic carrier	5
poisson process	5
present research	5
vaccination game	5
march nd	5
weakly singular	5
threshold quantity	5
discharged recovered	5
scientific production	5
time fde	5
wavelet systems	5
based tools	5
rapid dissemination	5
classical seir	5
disease models	5
model analysis	5
submission system	5
fractional orders	5
implementing control	5
recovered class	5
deterministic chaos	5
key parameters	5
visualization display	5
ai technology	5
medical experts	5
lockdown efficacy	5
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less effective	5
induced errors	5
human behaviour	5
epidemiological characteristics	5
several countries	5
mathematical biology	5
analysis using	5
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time scale	5
partial derivatives	5
network visualization	5
gets infected	5
scientific databases	5
intra zone	5
also considered	5
distribution functions	5
cfd analysis	5
pcr tests	5
heat kernel	5
actual number	5
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imported cases	5
state space	5
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model considers	5
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active infections	5
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series datasets	5
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agent i	5
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january th	5
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like covid	5
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simple sir	5
increasing number	5
sufficient conditions	5
substantial undocumented	5
two equations	5
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daily tests	5
short period	5
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monte carlo	5
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much faster	5
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viral pneumonia	5
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much smaller	5
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predictive mathematical	5
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please see	5
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capacity constraints	5
infectious spread	5
countries like	5
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morocco registers	5
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one root	5
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grant nos	5
new year	5
scratch every	5
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scientific literature	5
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clinical blood	5
volterra integral	5
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four control	5
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forget gate	5
host virus	5
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topic popularity	4
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jacobo aguirre	4
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huge amount	4
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severe respiratory	4
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multiplicative fractional	4
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scientific community	4
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formal analysis	4
information spreading	4
seira model	4
growth model	4
transition sst	4
image processing	4
method based	4
various fractional	4
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will remain	4
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pcr test	4
individual vaccination	4
united kingdom	4
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rows represents	4
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china early	4
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random forest	4
great interest	4
section discusses	4
health concern	4
novel model	4
economic crisis	4
response function	4
influenza epidemics	4
simplest sir	4
ib satisfying	4
mathematical formulation	4
functional form	4
caputo operator	4
pneumonia associated	4
first four	4
simulation result	4
solved using	4
haggle network	4
always exists	4
infection model	4
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quadratic approximation	4
new fractal	4
initially infected	4
small increase	4
model proposed	4
basic sir	4
mean number	4
worth noting	4
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mathematical study	4
refinable masks	4
hub nodes	4
input gate	4
international journal	4
temporal evolution	4
many cases	4
urn model	4
personal hygiene	4
care unit	4
probability function	4
regular lattice	4
different techniques	4
bifurcation coefficient	4
system response	4
integer derivatives	4
river delta	4
recovered people	4
evaluate non	4
optimal isolation	4
exact solutions	4
disease propagation	4
take place	4
applied quarantine	4
stability theorem	4
current trend	4
rate increases	4
fractional dynamics	4
predicted values	4
automated detection	4
approaches applied	4
fractional integrals	4
linear systems	4
minimum value	4
corrector approach	4
stochastic threshold	4
adjoint variables	4
epidemic evolution	4
air released	4
probability rate	4
operator approach	4
digital contact	4
disease symptoms	4
death evolution	4
accurately predict	4
threshold behavior	4
current data	4
coronavirus spreading	4
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travel ban	4
different models	4
positive definite	4
whole world	4
chart representation	4
namely susceptible	4
transmission process	4
many applications	4
real number	4
sirv model	4
three times	4
small influx	4
bibliographic databases	4
conditioned air	4
different regions	4
nonlinear least	4
medical treatment	4
model gives	4
completely susceptible	4
matlab software	4
symptomatic infection	4
models used	4
important parameter	4
eight lyapunov	4
health status	4
state equations	4
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model building	4
spread relationships	4
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making use	4
main objective	4
pandemic date	4
model output	4
invariance principle	4
compartmental epidemic	4
following eigenvalue	4
intellectual content	4
credit author	4
order necessary	4
unlike typical	4
volterra integro	4
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rigorous mathematical	4
wide range	4
hospital isolation	4
basic definitions	4
positive initial	4
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stochastic processes	4
graph theory	4
sir dynamics	4
sports competitions	4
conceptual model	4
precaution measure	4
biologically feasible	4
series dataset	4
proper precaution	4
sourav rana	4
theoretical framework	4
coronavirus cases	4
model state	4
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networks epidemic	4
output gate	4
single topic	4
based approach	4
effective vaccine	4
left eigenvector	4
mutual contacts	4
hiv viral	4
one example	4
coronavirus diseases	4
mean field	4
extinct cases	4
optimal regression	4
isolation rooms	4
forecast model	4
constant parameters	4
many different	4
aware infectives	4
vaccine development	4
disease induced	4
distancing rules	4
transport equations	4
human lives	4
current state	4
full normalizations	4
several epidemic	4
variable importance	4
integer model	4
two parameters	4
solved numerically	4
government interventions	4
based covid	4
moroccan government	4
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contacts per	4
cfr estimates	4
airborne transmission	4
early estimation	4
informed susceptible	4
model sipherd	4
following assumptions	4
based dashboard	4
actual incidence	4
six locations	4
growth curves	4
morocco announces	4
case without	4
discharge rate	4
adaptive edge	4
potential spread	4
infection spread	4
particle tracking	4
average level	4
normalized susceptible	4
sars epidemic	4
outbreak forecasting	4
also possible	4
important factors	4
discharge recovery	4
individuals may	4
future time	4
law kernel	4
potential covid	4
healthcare expert	4
called seir	4
named authors	4
february th	4
world using	4
accommodate surges	4
also show	4
care workers	4
similar scenario	4
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like models	4
wavelet transform	4
using ct	4
dependent mass	4
main contribution	4
model variables	4
infection immunization	4
different disease	4
many mathematical	4
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breaking process	4
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disease within	4
linear function	4
known infected	4
continuous dynamic	4
lockdown measures	4
tested positive	4
th day	4
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analysis will	4
integral operator	4
based modeling	4
outbreak will	4
positive solution	4
arima models	4
bifurcation parameter	4
close contacts	4
transmission parameters	4
significantly different	4
traditional time	4
social contact	4
i i	4
cases using	4
epidemic curve	4
positive roots	4
seafood market	4
fde models	4
severe symptoms	4
interactive web	4
model global	4
within one	4
model states	4
experimental data	4
probability theory	4
using social	4
eigenvalue problem	4
current situation	4
medical resources	4
linear growth	4
crude oil	4
author statement	4
may reduce	4
ic units	4
gamma function	4
infected female	4
ai prediction	4
canada using	4
controlled interventions	4
long run	4
severe covid	4
dl models	4
many important	4
new numerical	4
care systems	4
diagnose covid	4
lockdown save	4
reaction mechanism	4
present work	4
cool air	4
specific vaccine	4
dynamic system	4
dirichlet allocation	4
th march	4
equilibrium solutions	4
cases may	4
wide lockdown	4
space gaussian	4
lda model	4
evaluated using	4
using arima	4
contacting among	4
quarantine may	4
future research	4
modelling approach	4
daily life	4
unit root	4
reference gene	4
numerical value	4
three states	4
ncbi genbank	4
slow time	4
stable covid	4
first phase	4
ebola disease	4
models may	4
three compartments	4
control intervention	4
infection seeded	4
order covid	4
newton polynomial	4
parameter describing	4
column list	4
high accuracy	4
type model	4
lstm network	4
model allows	4
hidden layer	4
model exhibits	4
india using	4
countries across	4
si model	4
susceptible case	4
healthcare experts	4
daily covid	4
latent dirichlet	4
type i	4
incidence curves	4
average period	4
obtained using	4
first one	4
term prediction	4
viral infections	4
familial cluster	4
sanitizing machine	4
equations fractional	4
several mathematical	4
financial interest	4
take care	4
across cryptocurrency	4
time since	4
feedback gain	4
collected data	4
ten countries	4
numerical examples	4
transversality conditions	4
daily reported	4
major western	4
people infected	4
analytical solution	4
may change	4
applied mathematics	4
threshold endemic	4
disease threshold	4
abc derivative	4
patients using	4
temporal reclassification	4
current outbreak	4
subthreshold endemic	4
etiological agent	4
pneumonia outbreak	4
cured recovered	4
serious threat	4
immunization ratio	4
continuously differentiable	4
nonlinear dynamical	4
model prediction	4
strict measures	4
ic class	4
effective contacts	4
red curve	4
population compartmentalization	4
conservation law	4
mean absolute	4
treatment strategies	4
sis epidemic	4
telegraph noise	4
healthcare demand	4
error series	4
maximum i	4
confined individuals	4
general fractional	4
current study	4
diffusion process	4
current lockdown	4
new definition	4
novel virus	4
prediction models	4
daily cases	4
scenario assumes	4
one country	4
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citations received	4
final time	4
reported covid	4
lockdown scenarios	4
dependent sir	4
error measures	4
unreported infected	4
following scheme	4
unreported cases	4
save mankind	4
prime minister	4
effective treatment	4
derivative operator	4
infectious dynamics	4
generate short	4
different levels	4
vaccination decision	4
daily number	4
different groups	4
polymerase chain	4
random testing	4
serial interval	4
daily notified	4
significant financial	4
decreased due	4
state constraint	4
epidemic predictions	4
shorter time	4
complex dynamical	4
without optimal	4
growth phase	4
half normalizations	4
positively invariant	4
fractional integration	4
analytical results	4
model including	4
quarantined asymptomatic	4
useful tool	4
two cases	4
dynamical modeling	4
people versus	4
compartment models	4
people living	4
free network	4
harmonic oscillator	4
current infected	4
disease covid	4
related coronavirus	4
threshold value	4
till now	4
bimolecular reaction	4
markov process	4
severely infected	4
respiratory disease	4
natural immunity	4
caputo derivatives	4
will last	4
track covid	4
till time	4
major government	4
sexual contact	4
initial time	4
best fits	4
makes sense	4
implemented using	4
antibody responses	4
scientific research	4
previous work	4
community structure	4
family members	4
tracing process	4
home quarantine	4
mutual feedback	4
important intellectual	4
high number	4
go outside	4
countries using	4
infectious equilibrium	4
transmission potential	4
roughly logistic	4
enable people	4
beds per	4
chain reaction	4
infected neighbors	4
bar chart	4
markets exhibit	4
general public	4
topic modeling	4
progression rate	4
possible control	4
fit parameters	4
countries affected	4
notified case	4
sirs epidemic	4
chinese center	4
infected populations	4
logistic regression	4
dynamical behaviors	4
mathematical assessment	4
modeling approaches	4
researchers found	4
unreported individuals	4
available online	4
new zealand	4
affected states	4
including death	4
will take	4
sirvd model	4
initial number	4
infectious players	4
careful reading	4
may conclude	4
compartmental sir	4
will always	4
hybrid approach	4
quarantine rate	4
control covid	4
structured population	4
nonlinear ordinary	4
individuals infected	4
till april	3
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containment zones	3
external source	3
substantial increase	3
cabo verde	3
describe biological	3
data considering	3
linking within	3
new registered	3
statistical approaches	3
maintaining social	3
predictions using	3
transmission mechanism	3
southeast asia	3
tracing application	3
full dataset	3
epidemic continues	3
discovery models	3
yet reached	3
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individuals develop	3
environmental noise	3
ultimately bounded	3
natural mortality	3
economic activities	3
study also	3
different delays	3
will continue	3
two equilibria	3
type mathematical	3
endemic steady	3
negative concavity	3
numerically model	3
based algorithm	3
certain conditions	3
daily data	3
hospitalized covid	3
done per	3
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leffler functions	3
close contact	3
equivalent increase	3
patients based	3
data shows	3
hiv epidemics	3
topic searches	3
around june	3
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various public	3
greatly decrease	3
final approval	3
great variability	3
state system	3
parameter value	3
decisions based	3
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intelligence approach	3
relevant literature	3
singular control	3
days april	3
ft tg	3
asymptomatic will	3
death factor	3
search engine	3
next theorem	3
become smir	3
match day	3
exposed individual	3
downward trend	3
one week	3
also performed	3
adjustable parameters	3
anonymous referees	3
among heterogeneous	3
markov models	3
wilt disease	3
model time	3
temporary immunity	3
lyapunov stability	3
disease starts	3
respiratory system	3
estimated using	3
newly developed	3
multiple countries	3
global crisis	3
asian countries	3
carrying capacity	3
substitution mutation	3
value problems	3
second term	3
immunization rates	3
different epidemic	3
person will	3
scientific data	3
second half	3
dashed curve	3
allow us	3
static network	3
analyses based	3
deterministic behavior	3
local sensitivity	3
contagious diseases	3
random variable	3
homotopy analysis	3
time varying	3
basic mathematical	3
high level	3
recovery time	3
using eq	3
fractional mathematical	3
active infectious	3
paper also	3
primary infection	3
target interaction	3
lim inf	3
important lessons	3
model fits	3
football league	3
model eliminates	3
compartment model	3
hospitalized individuals	3
treatment functions	3
operating procedure	3
rate prediction	3
singular operator	3
epidemiologically associated	3
estimate effectiveness	3
canadian health	3
ending point	3
last section	3
leffler derivative	3
valuable comments	3
next wave	3
nonlocal kernel	3
model eq	3
hcv coinfection	3
negative prccs	3
results suggest	3
coupled ordinary	3
epidemic dynamic	3
draft preparation	3
will result	3
potential topics	3
mentioned time	3
epidemic like	3
sequential irregularity	3
model also	3
curve fitting	3
predicted cumulative	3
transitional flows	3
avoid contacts	3
days starting	3
regression models	3
blood test	3
various methodologies	3
epidemic time	3
experience gained	3
future development	3
essential causal	3
practical reasons	3
day i	3
treatment control	3
novel sars	3
i represents	3
autocorrelation function	3
capita rate	3
model date	3
large part	3
spreading significantly	3
pandemic across	3
containment strategies	3
proposed mathematical	3
small number	3
detected including	3
american countries	3
previous models	3
case data	3
term immunity	3
get infected	3
free steady	3
mean incubation	3
time frame	3
based method	3
positive value	3
data collection	3
modeling biological	3
rate given	3
renal syndrome	3
two consecutive	3
infectiousness rate	3
first wave	3
absolutely continuous	3
since infection	3
country lockdown	3
activation function	3
using different	3
model reduction	3
better control	3
show symptoms	3
comparatively strict	3
brownian motions	3
potential conflicts	3
linear algebra	3
health organizations	3
dynamic evolution	3
coupled within	3
data stream	3
many others	3
sirs system	3
left hand	3
based time	3
open problem	3
rich dynamics	3
family cluster	3
lockdown till	3
latency period	3
stochastic coronavirus	3
hurwitz conditions	3
linearizing system	3
dark green	3
success rate	3
birth processes	3
fractional sirc	3
similar procedure	3
literature review	3
partial derivative	3
cost function	3
individual becomes	3
dynamical models	3
state concerning	3
many real	3
direct adjoining	3
testing kits	3
right side	3
values used	3
mechanistic models	3
number using	3
positive result	3
minimum principle	3
health ministry	3
people across	3
different approaches	3
mean squared	3
additional condition	3
population growth	3
emotional expressions	3
without detected	3
removal time	3
candidate function	3
control variable	3
fundamental theorem	3
lockdown success	3
modeling results	3
two peaks	3
zero gives	3
test per	3
statistical behaviour	3
fraction derivative	3
time forecasting	3
distributed randomly	3
low death	3
namely april	3
later time	3
population mobility	3
compound poisson	3
memory effects	3
market contagion	3
local coordinates	3
virus spreading	3
slightly different	3
mathematical condition	3
transmissibility multiple	3
airborne infection	3
fredholm integral	3
incidence function	3
real life	3
epidemic modelling	3
gradually decreased	3
group i	3
quarantined class	3
model forecast	3
market risk	3
infected one	3
original distribution	3
drug vaccine	3
organization coronavirus	3
sliding window	3
modified sir	3
susceptible humans	3
first half	3
within communities	3
first consider	3
input parameter	3
key point	3
first infection	3
potentially infected	3
world network	3
many ways	3
many people	3
diagnosed patients	3
academic publications	3
polya process	3
infection clusters	3
lipschitz continuous	3
interactions among	3
population level	3
asymptomatic contact	3
modelling strategies	3
second problem	3
system eight	3
control system	3
time gaps	3
involves four	3
regime switching	3
model suggested	3
human populations	3
dynamics covid	3
squares algorithm	3
strict quarantine	3
measures like	3
network structures	3
may affect	3
susceptible neighbors	3
national health	3
based lstm	3
already infected	3
test days	3
linear approximation	3
profoundly affected	3
populated areas	3
provide insights	3
low incidence	3
unknown etiology	3
virus among	3
infective population	3
first reported	3
similar degree	3
containment explains	3
rate may	3
unstable equilibrium	3
early prediction	3
fractional features	3
local asymptotically	3
tree model	3
geographical structure	3
complex systems	3
easily obtain	3
corresponding jacobian	3
death rates	3
bifurcation diagram	3
delay dynamic	3
keep away	3
better visualization	3
weather data	3
individuals decreases	3
solving nonlinear	3
improve actions	3
metapopulation models	3
total time	3
saturation parameter	3
recent work	3
first covid	3
heterogeneous topology	3
risk compartment	3
treatment given	3
china analysis	3
survival mortality	3
model parameterization	3
derivative model	3
model may	3
nonlinear differential	3
phase plane	3
community containment	3
pandemic spread	3
cumulative distribution	3
two basic	3
term behavior	3
virus pathogen	3
detailed analysis	3
immunity level	3
really work	3
three populations	3
process regression	3
based detergents	3
random networks	3
good hygiene	3
critical patients	3
study will	3
based methods	3
quarantined classes	3
become symptomatic	3
fractional hrsv	3
got infected	3
data sources	3
population distribution	3
social physical	3
one will	3
chaos theory	3
physical interpretation	3
order polynomial	3
saturated treatment	3
optimality system	3
next days	3
recent results	3
local bifurcation	3
epidemic end	3
will apply	3
solid curve	3
four equations	3
highly affected	3
different factors	3
many new	3
engineering applications	3
numerical methods	3
state constraints	3
cauchy problem	3
provide decision	3
value less	3
modelling analysis	3
may fail	3
warning system	3
exponential distribution	3
fluid dynamics	3
following parameter	3
national league	3
first positive	3
immune responses	3
ongoing epidemic	3
deaths caused	3
peak value	3
transmission dynamic	3
epidemiological implication	3
boundary local	3
disease system	3
clinically ill	3
room air	3
hospital capacity	3
wavelet decomposition	3
outside china	3
medical care	3
including stability	3
death time	3
number formula	3
performed well	3
physical contacts	3
stable around	3
may still	3
confidence intervals	3
global positive	3
environment contamination	3
behavioural change	3
always positive	3
first confirmed	3
control policies	3
sirc model	3
major public	3
last part	3
numerical computations	3
uniform stability	3
testing strategy	3
nonlinear function	3
model solutions	3
numerical approach	3
recent covid	3
outbreak period	3
undetected infections	3
predicted cases	3
exponential law	3
lockdown scenario	3
three classes	3
rna viruses	3
west nile	3
present two	3
average contact	3
first term	3
absolute error	3
easily adapted	3
contact among	3
ran simulations	3
fully understood	3
effective lockdown	3
epidemiology models	3
biological carrier	3
typical deep	3
will go	3
unknown hosts	3
still unknown	3
authors proposed	3
daily basis	3
eventually stabilize	3
baleanu derivatives	3
growth dynamics	3
till today	3
health commission	3
health policies	3
random process	3
epidemic topics	3
effective containment	3
person becomes	3
si links	3
zero mean	3
derivative called	3
preventable diseases	3
key critical	3
officially reported	3
mail address	3
stochastic simulation	3
extensive numerical	3
organization declares	3
transmission coefficient	3
huge number	3
chaotic dynamical	3
covid epidemics	3
solve fractional	3
van den	3
typically reported	3
game theory	3
high activation	3
global analysis	3
distinct days	3
microblog text	3
current results	3
nation wide	3
new births	3
smir model	3
recovered group	3
outbreak predictions	3
production capacity	3
log plot	3
popular topics	3
dl techniques	3
time rt	3
respiratory infections	3
group seira	3
time derivative	3
past outbreaks	3
models mathematical	3
larger fraction	3
singular kernels	3
generalized legendre	3
test intervention	3
model approach	3
lockdown policies	3
component models	3
also note	3
cumulative incidence	3
analytical model	3
studied using	3
condition given	3
dry cough	3
epidemic curves	3
will spread	3
alive non	3
using self	3
confirmed patients	3
undetected cases	3
pulmonary disease	3
wavelet transformation	3
extremely important	3
initial states	3
particular country	3
deaths worldwide	3
i class	3