Search
Now showing items 1-6 of 6
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 ...
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
(Nonlinear Analysis: Real World Applications, 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
(Discrete and Continuous Dynamical Systems- Series A, 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
(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 ...