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Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
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 a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays ∫ h 0 p(τ)f(S(t),I(t- τ))dτ under the ...
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 ...
Permanence and global stability of a class of discrete epidemic models
In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ...