期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 14, 期 3, 页码 1693-1704出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.11.005
关键词
Multi-group SIRS epidemic model; Varying population size; Global stability; Lyapunov function
资金
- Japan Society for the Promotion of Science [24540219, 237213, 222176]
- Grants-in-Aid for Scientific Research [10J02176, 11J07213] Funding Source: KAKEN
In this paper, by extending well-known Lyapunov function techniques to SIRS epidemic models, we establish sufficient conditions for the global stability of an endemic equilibrium of a multi-group SIRS epidemic model with varying population sizes which has cross patch infection between different groups. Our proof no longer needs such a grouping technique by graph theory commonly used to analyze the multi-group SIR models. (C) 2012 Elsevier Ltd. All rights reserved.
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