id author title date pages extension mime words sentences flesch summary cache txt cord-140839-rij8f137 Langfeld, Kurt Dynamics of epidemic diseases without guaranteed immunity 2020-07-31 .txt text/plain 2287 140 55 Conventional mathematical models consider cases for which a recovered individual either becomes susceptible again or develops an immunity. In the simplest version, the so-called compartmental models [7, 10] consider the fraction of the population which is either susceptible (S), infected (I) or removed (R) from the disease network. Compartmental models address global quantities such as the fraction of susceptible individuals S and assume that heuristic rate equations can describe the disease dynamics. In these cases, spatial disease spread patterns can be described by a stochastic network model with Monte-Carlo simulations a common choice for the simulation. At each time step (say 'day'), the probability that an individual gets infected (or recovers) depends on the status of the neighbours in the social network. For τ > t th , the peak infection rate is that of the asymptotic state of the corresponding model (i) and, hence, inherits the classification 'pandemic' or 'response' phase. ./cache/cord-140839-rij8f137.txt ./txt/cord-140839-rij8f137.txt