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Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
(2012-12-31)
In this paper, we study the global dynamics of a delayed SIRS epidemic model for transmission of disease with a class of nonlinear incidence rates of the form βS(t)∫ 0 hf(τ)G(I(t-τ))dτ. Applying Lyapunov functional techniques ...
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
(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 stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays
(2012-12-31)
In this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using ...
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
(2012-12-31)
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 stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
(2012-12-31)
In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method ...
Permanence and global stability of a class of discrete epidemic models
(2011-12-31)
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. ...
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
(2011-12-31)
In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium ...
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
(2011-12-31)
In this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global ...
On the global stability of an SIRS epidemic model with distributed delays
(2011-12-31)
In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ...
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(2011-12-31)
In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two distributed time delays describing time needed for infection ...