Dynamics in a Predator-Prey Model with Cooperative Hunting and Allee Effect

被引：12

作者：

Du, Yanfei ^{[1
,2
]}

Niu, Ben ^{[3
]}

Wei, Junjie ^{[1
,4
]}

机构：

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

[2] Shaanxi Univ Sci & Technol, Sch Math & Data Sci, Xiangtan 710021, Peoples R China

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

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

来源：

MATHEMATICS | 2021年 / 9卷 / 24期

基金：

中国国家自然科学基金;

关键词：

hunting cooperation; Allee effect; connecting orbit; invariant manifold; bifurcation; coexistence; DELAY-DIFFERENTIAL EQUATIONS; TURING-HOPF BIFURCATION; QUALITATIVE-ANALYSIS; TIME-DELAY; PACK SIZE; STABILITY; SYSTEM; MEMORY;

D O I：

10.3390/math9243193

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with a diffusive predator-prey model with two delays. First, we consider the local bifurcation and global dynamical behavior of the kinetic system, which is a predator-prey model with cooperative hunting and Allee effect. For the model with weak cooperation, we prove the existence of limit cycle, and a loop of heteroclinic orbits connecting two equilibria at a threshold of conversion rate p=p#, by investigating stable and unstable manifolds of saddles. When p > p#, both species go extinct, and when p

引用

页数：40

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