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Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
(Journal of Applied Mathematics and Computing, 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 ...
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
(Nonlinear Analysis: Real World Applications, 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
(Acta Mathematica Scientia, 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 stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
(Journal of Mathematical Analysis and Applications, 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 ...