id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-018832-g96earfl	Song, Xiuchao	Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation	2019-10-08		.txt	text/plain	916	67	59	title: Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation An SVIR epidemiological model with two stage characteristics of vaccine effectiveness is formulated. By constructing the appropriate Lyapunov functionals, it is proved that the disease free equilibrium of the system is globally stable when the basic reproduction number is less than or equal to one, and that the unique endemic equilibrium of the system is globally stable when the basic reproduction number is greater than one. Therefore, this paper studies the epidemiological model with two stage characteristics of vaccine effectiveness, On the basis of getting the basic reproductive number, by using appropriate functionals, the stability of the model is proved by the algebraic approach provided by the reference [8] . Global stability of an epidemic model with latent stage and vaccination An algebraic approach to proving the global stability of a class of epidemic models	./cache/cord-018832-g96earfl.txt	./txt/cord-018832-g96earfl.txt