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

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• 作者：Yoshiaki Muroya ; Huaixing Li ; Toshikazu Kuniya
• 关键词：SIRS epidemic model ; Cure rate ; Global asymptotic stability ; Lyapunov functional
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2014
• 出版时间：15 February, 2014
• 年：2014
• 卷：410
• 期：2
• 页码：719-732
• 全文大小：304 K

文摘

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 such that the disease-free equilibrium is globally asymptotically stable when , and the endemic equilibrium is globally asymptotically stable when .