Global dynamics of a controlled discontinuous diffusive SIR epidemic system

被引：39
|
作者：
Li, Wenjie [1 ]
Ji, Jinchen [2 ]
Huang, Lihong [3 ]
Guo, Zhenyuan [4 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Syst & Appl Math, Kunming 650500, Yunnan, Peoples R China
[2] Univ Technol Sydney, Sch Mech & Mechatron Engn, Broadway, NSW 2007, Australia
[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
[4] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 121卷
基金：
中国国家自然科学基金;
关键词：
Diffusive epidemic system; Discontinuous control; Differential inclusions; Globally asymptotic stability; PREDATOR-PREY MODEL; THRESHOLD; EXISTENCE;
D O I：
10.1016/j.aml.2021.107420
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR epidemic system under Neumann boundary conditions. We first establish the conditions for the existence of the solution and obtain the boundedness of the solution for the controlled discontinuous diffusive system. Then, under the framework of differential inclusion, we study the existence of constant equilibria of the controlled diffusive epidemic system. Furthermore, we discuss the global dynamical behaviour of the controlled discontinuous diffusive epidemic system. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：9
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