Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

被引：7

作者：

Guo, Ke ^{[1
]}

Ma, Wanbiao ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 18卷 / 01期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

SI epidemic model; feedback control; time delay; Lyapunov functional; global stability; POSITIVE PERIODIC-SOLUTIONS; STABILITY; SYSTEM; EQUILIBRIA;

D O I：

10.3934/mbe.2021035

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle and Barbalat's lemma, the global dynamics of the model are established. Our results extend and improve related works in the existing literatures.

引用

页码：643 / 672

页数：30

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