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Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates 

Enatsu Y.; Messina E.; Nakata Y.; Muroya Y.; Russo E.; Vecchio A. (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 ...
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Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model 

Enatsu Y.; Nakata Y.; Muroya Y. (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 ...
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Global stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays 

Enatsu Y.; Nakata Y.; Muroya Y. (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 ...
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On the global stability of an SIRS epidemic model with distributed delays 

Nakata Y.; Enatsu Y.; Muroya Y. (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 ...

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AuthorEnatsu Y. (4)Muroya Y. (4)Nakata Y. (4)Messina E. (1)Russo E. (1)Vecchio A. (1)SubjectGlobal asymptotic stability (4)
Lyapunov functional (4)
SIRS epidemic model (4)
Distributed delays (3)Nonlinear incidence rate (3)... View MoreDate Issued2012 (3)2011 (1)

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