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
收藏
页码：643 / 672
页数：30
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