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• W2332922394 endingPage "1118" @default.
• W2332922394 startingPage "1105" @default.
• W2332922394 abstract "In this paper, using an approach of Lyapunov functional, we establish the complete global stability of a multi-group SIS epidemic model in which the effect of population migration among different regions is considered.We prove the global asymptotic stability of the disease-free equilibrium of the model for $R_0leq 1$, and that of an endemic equilibrium for $R_0>1$. Here $R_0$ denotes the well-known basic reproduction number defined by the spectral radius of an irreducible nonnegative matrix called the next generation matrix. We emphasize that the graph-theoretic approach, which is typically used for multi-group epidemic models, is not needed in our proof." @default.
• W2332922394 created "2016-06-24" @default.
• W2332922394 creator A5076556057 @default.
• W2332922394 creator A5080848201 @default.
• W2332922394 date "2014-01-01" @default.
• W2332922394 modified "2023-09-27" @default.
• W2332922394 title "Global stability of a multi-group SIS epidemic model for population migration" @default.
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• W2332922394 doi "https://doi.org/10.3934/dcdsb.2014.19.1105" @default.
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