Hopf Bifurcation of a Delayed Single Population Model with Patch Structure

被引：0
|
作者：
Shanshan Chen
Zuolin Shen
Junjie Wei
机构：
[1] Harbin Institute of Technology,Department of Mathematics
[2] Harbin University of Science and Technology,Department of Basic Education
[3] Jimei University,School of Science
来源：
Journal of Dynamics and Differential Equations | 2023年 / 35卷
关键词：
Hopf bifurcation; Patch structure; Delay; Dispersal; 92D30; 34K18; 34K13; 37N25;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we show the existence of a Hopf bifurcation in a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is considered. Especially, if each patch is favorable for the species, we show that when the dispersal rate tends to zero, the limit of the Hopf bifurcation value is the minimum of the “local” Hopf bifurcation values over all patches. On the other hand, when the dispersal rate tends to infinity, the Hopf bifurcation value tends to that of the “average” model.
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页码：1457 / 1487
页数：30
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