GLOBAL HOPF BIFURCATION OF A POPULATION MODEL WITH STAGE STRUCTURE AND STRONG ALLEE EFFECT

被引：8

作者：

Hao, Pengmiao ^{[1
]}

Wang, Xuechen ^{[1
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 05期

基金：

中国国家自然科学基金;

关键词：

DELAY-DIFFERENTIAL EQUATIONS; TIME-DELAY; STABILITY; DYNAMICS; CHAOS;

D O I：

10.3934/dcdss.2017051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a single-species population model with stage structure and strong Allee effect. By taking tau as a bifurcation parameter, we study the Hopf bifurcation and global existence of periodic solutions using Wu's theory on global Hopf bifurcation for FDEs and the Bendixson criterion for higher dimensional ODEs proposed by Li and Muldowney. Some numerical simulations are presented to illustrate our analytic results using MATLAB and DDE-BIFTOOL. In addition, interesting phenomenon can be observed such as two kinds of bistability.

引用

页码：973 / 993

页数：21

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