Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays

被引：2
|
作者：
Dai, Huan [1 ]
Liu, Yuying [2 ]
Wei, Junjie [2 ]
机构：
[1] Harbin Inst Technol Weihai, Sch Sci, Weihai 264209, Peoples R China
[2] Harbin Inst Thchnol, Dept Math, Harbin 150001, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
epidemic; two delays; Hopf bifurcation; normal form; GLOBAL STABILITY; SYSTEM; DYNAMICS; WAVES;
D O I：
10.3934/mbe.2020229
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. First we obtain the existence and the stability of the positive constant steady state. Then we investigate the existence of Hopf bifurcations by analyzing the distribution of the eigenvalues. Furthermore, we derive the normal form on the center manifold near the Hopf bifurcation singularity. Finally, some numerical simulations are carried out to illustrate the theoretical results.
引用
收藏
页码：4127 / 4146
页数：20
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