GLOBAL BEHAVIORS FOR A CLASS OF MULTI-GROUP SIRS EPIDEMIC MODELS WITH NONLINEAR INCIDENCE RATE

In this paper, we study a class of multi-group SIRS epidemic models with nonlinear incidence rate which have cross patch infection between different groups. The basic reproduction number ℛ0is calculated. By using the method of Lyapunov functions, LaSalle’s invariance principle, the theory of the non...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 19; no. 5; pp. 1509 - 1532
Main Authors Tang, Qian, Teng, Zhidong, Jiang, Haijun
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.10.2015
Subjects
Disease models
Epidemics
Liapunov functions
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