Delay-driven Hopf bifurcation in a networked Malaria model

被引：7
|
作者：
Tian, Canrong [1 ]
Liu, Yong [2 ]
机构：
[1] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224003, Jiangsu, Peoples R China
[2] Nanjing Normal Univ Special Educ, Sch Math & Informat Sci, Nanjing 210038, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 132卷
关键词：
Hopf bifurcation; Disease spread; Basic reproduction number; Graph Laplace;
D O I：
10.1016/j.aml.2022.108092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The time delay is introduced into a networked Malaria model which describes the spread of infected Mosquitoes and humans. By analyzing the eigenvalue, it is shown that the endemic equilibrium is locally asymptotically stable in the absence of delay, but loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold. Moreover, if the basic reproduction number is lower than 1, the disease free equilibrium is always stable whether the delay is present or not.(C) 2022 Elsevier Ltd. All rights reserved.
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页数：6
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