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Global stability for a discrete SIS epidemic model with immigration of infectives
In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new ...
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
In this paper, by applying a variation of the backward Euler method, we propose a discrete-time SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding ...
Two types of condition for the global stability of delayed sis epidemic models with nonlinear birth rate and disease induced death rate
We study global asymptotic stability for an SIS epidemic model with maturation delay proposed by K. Cooke, P. van den Driessche and X. Zou, Interaction of maturation delay and nonlinear birth in population and epidemic ...