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

共 50 条

[21] Dynamics of a Delayed Predator-Prey Model with Prey Refuge, Allee Effect and Fear Effect
Wei, Zhen
Chen, Fengde
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (03):
[22] The dynamics of a Leslie type predator-prey model with fear and Allee effect
Vinoth, S.
Sivasamy, R.
Sathiyanathan, K.
Unyong, Bundit
Rajchakit, Grienggrai
Vadivel, R.
Gunasekaran, Nallappan
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[23] Dynamics analysis of a predator-prey model with Allee effect and harvesting effort
Shao, Yichao
Yu, Hengguo
Jin, Chenglei
Fang, Jingzhe
Zhao, Min
ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (10): : 5682 - 5716
[24] Complicate dynamics of a discrete predator-prey model with double Allee effect
Xia, Shaosan
Li, Xianyi
MATHEMATICAL MODELLING AND CONTROL, 2022, 2 (04): : 282 - 295
[25] The spatiotemporal dynamics of a diffusive predator-prey model with double Allee effect
Li, Lingling
Li, Xuechen
AIMS MATHEMATICS, 2024, 9 (10): : 26902 - 26915
[26] The Impact of Allee Effect on a Leslie-Gower Predator-Prey Model with Hunting Cooperation
Liu, Yingzi
Zhang, Zhiyang
Li, Zhong
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (02)
[27] Spatiotemporal dynamics of predator-prey system with Allee effect
Wang, Wenting
Ma, Zhihui
Li, Zizhen
ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 216 - 219
[28] Complex Dynamics of Predator-Prey Systems with Allee Effect
Zeng, Yanni
Yu, Pei
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (13):
[29] Dynamics Analysis of a Predator-Prey Model with Hunting Cooperative and Nonlinear Stochastic Disturbance
Zhang, Yuke
Meng, Xinzhu
MATHEMATICS, 2022, 10 (16)
[30] Bifurcation analysis of the predator-prey model with the Allee effect in the predator
Sen, Deeptajyoti
Ghorai, Saktipada
Banerjee, Malay
Morozov, Andrew
JOURNAL OF MATHEMATICAL BIOLOGY, 2022, 84 (1-2)

← 1 2 3 4 5 →