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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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Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate 

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

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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)
Nonlinear incidence rate (4)
SIRS epidemic model (4)
Lyapunov functional (3)Distributed delays (2)Lyapunov functional technique (1)Monotone iterative technique (1)Permanence (1)... View MoreDate Issued2012 (3)2011 (1)

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