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),

引用

页码：643 / 672

页数：29

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