Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates

In this paper, applying two types of Lyapunov functional techniques to an SIRS epidemic model with graded cure and incomplete recovery rates, we establish complete global dynamics of the model whose threshold parameter is the basic reproduction number R0 such that the disease-free equilibrium is glo...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2014-02, Vol.410 (2), p.719-732
Main Authors: Muroya, Yoshiaki, Li, Huaixing, Kuniya, Toshikazu
Format: Article
Language:English
Subjects:
Cure rate
Global asymptotic stability
Lyapunov functional
SIRS epidemic model
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Summary:In this paper, applying two types of Lyapunov functional techniques to an SIRS epidemic model with graded cure and incomplete recovery rates, we establish complete global dynamics of the model whose threshold parameter is the basic reproduction number R0 such that the disease-free equilibrium is globally asymptotically stable when R0â©˝1, and the endemic equilibrium is globally asymptotically stable when R0>1.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.08.024