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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 ...
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 ...
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 ...
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 stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
(2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ...