id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-102966-7vdz661d	Nikolaou, M.	A Fundamental Inconsistency in the SIR Model Structure and Proposed Remedies	2020-05-01		.txt	text/plain	4493	301	60	In their landmark 1927 publication Contribution to the Mathematical Theory of Epidemics, 1, 2 Kermack and McKendrick developed a general, if elaborate model structure to capture the dynamics of a fixed-size population comprising compartments of individuals susceptible (S) to a spreading infection, infectious (I), and removed (R) from the preceding two compartments by recovery or death. Starting with the assumption that individuals leave the infectious group at time after infection, we develop in this paper a corresponding mathematical model structure, named delay SIR (dSIR), in the form of a single delay differential equation (DDE) for , and two associated delay algebraic equations, for and in terms of . It turns out (Appendix A) that the following simple remedy can be used to retain the ODE structure of the standard SIR model, while better approximating the DDE dynamics of the more realistic dSIR model structure: The SIR equations for { ′ , ′ }, eqns.	./cache/cord-102966-7vdz661d.txt	./txt/cord-102966-7vdz661d.txt