Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate
Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate
复制标题
DOI：
10.1142/s1793524515500485
复制
发表时间：
2015-06
影响因子：
2.2
通讯作者：
Y. Muroya;T. Kuniya
中科院分区：
文献类型：
--
作者：
Y. Muroya;T. Kuniya
本文应用李雅普诺夫泛函方法，建立了一类具有治愈率和不完全恢复率的"时滞"多组SIRS传染病模型全局稳定的充分条件，该模型是最近文献[Muroya，Li and Kuniya，具有分级治愈率和不完全恢复率的SIRS流行病模型的完全全局分析，J. Math. Anal. Appl.410（2014）719 - 732]中描述的方法应用于多组模型。利用一个关于每隔室总种群的李雅普诺夫泛函，给出了时滞系统的持久性、地方病平衡点的存在性和无病平衡点的全局稳定性的证明方法.
In this paper, by applying Lyapunov functional approach, we establish a sufficient condition on the global stability of a "delayed" multi-group SIRS epidemic model with cure rate and incomplete recovery rate which does not depend on the delays and is an extension of the "light drug model" studied in the recent paper [Muroya, Li and Kuniya, Complete global analysis of an SIRS epidemic model with graded cure rate and incomplete recovery rate, J. Math. Anal. Appl. 410 (2014) 719–732] to a multi-group model. Applying a Lyapunov functional on total population of each compartment, we offer new techniques for the delayed system, how to prove the permanence, the existence of the endemic equilibrium and the global stability of disease-free equilibrium for the reproduction number and endemic equilibrium for .