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Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
(Applied Mathematics and Computation, 2012-12-31)
We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. ...
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
(Journal of Difference Equations and Applications, 2012-12-31)
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 ...