Hopf Bifurcation of a Delayed Single Population Model with Patch Structure

被引：4

作者：

Chen, Shanshan ^{[1
]}

Shen, Zuolin ^{[2
]}

Wei, Junjie ^{[1
,3
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

[2] Harbin Inst Technol, Dept Basic Educ, Rongcheng Campus, Weihai 264209, Shandong, Peoples R China

[3] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2023年 / 35卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hopf bifurcation; Patch structure; Delay; Dispersal;

D O I：

10.1007/s10884-021-09946-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1457 / 1487

页数：31

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