id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-005321-b3pyg5b3	Cai, Li-Ming	Global analysis of an epidemic model with vaccination	2017-07-21		.txt	text/plain	5605	412	61	In some of these studies (e.g., papers [16, 31, 43] ), authors have shown that the dynamics of the model are determined by the disease's basic reproduction number 0 . In order to derive the equations of the mathematical model, we divide the total population N in a community into five compartments: susceptible, exposed (not yet infectious), infective, recovered, and vaccinated; the numbers in these states are denoted by S(t), If ψ = 0 and limit γ 1 → ∞, system (2.1) will be reduced into an SIV epidemic model in [36] , where authors investigate the effect of imperfect vaccines on the disease's transmission dynamics. This is also in line with results in paper [26] , where the vaccination-free model (2.3) has a globally asymptotically stable equilibrium if the basic reproduction number R 0 is less than one. Global results for an epidemic model with vaccination that exhibits backward bifurcation	./cache/cord-005321-b3pyg5b3.txt	./txt/cord-005321-b3pyg5b3.txt