A Ricker-type predator-prey system with hunting cooperation in discrete time

被引：21

作者：

Chou, Yen-hsi ^{[1
]}

Chow, Yunshyong ^{[2
,3
]}

Hu, Xiaochuan ^{[4
]}

Jang, Sophia R-J ^{[5
]}

机构：

[1] Acad Sinica, Inst Stat, Taipei 10617, Taiwan

[2] Acad Sinica, Inst Math, Taoyuan 32001, Taiwan

[3] Natl Cent Univ, Dept Math, Taoyuan 32001, Taiwan

[4] Univ Incarnate Word, Dept Math & Stat, San Antonio, TX 78209 USA

[5] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2021年 / 190卷

关键词：

Hunting cooperation; Discrete predator-prey system; Scramble competition; Discrete Hopf bifurcation;

D O I：

10.1016/j.matcom.2021.06.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A predator-prey system in discrete-time for which the predators engage in cooperative hunting and the prey population is subject to scramble intra-specific competition is developed and analyzed. We prove that the number of positive equilibrium points depends not only on the predator's basic reproduction number but also on the intensity of predator cooperation. The model exhibits a discrete Hopf bifurcation when the unique positive equilibrium point loses its stability. Two-parameter bifurcation diagrams using MATLAB conclude that hunting cooperation can increase the likelihood of predator persistence but may destabilize the predator-prey interaction and drive the predator to extinction. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：570 / 586

页数：17

共 18 条

[1]

Allen, 2006, INTRO MATH BIOL

[2] Hunting cooperation and Allee effects in predators [J].