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

被引：0
|
作者：
Guo K. [1 ]
Ma W. [1 ]
机构：
[1] School of Mathematics and Physics, University of Science and Technology Beijing, Beijing
来源：
Mathematical Biosciences and Engineering | 2021年 / 18卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Feedback control; Global stability; Lyapunov functional; SI epidemic model; Time delay;
D O I：
10.3934/MBE.2021035
中图分类号：
学科分类号：
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. © 2021 the Author(s),
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页码：643 / 672
页数：29
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