A PATCHY PREDATOR-PREY MODEL WITH EFFECT OF PREY REFUGE AND MIGRATION

被引：0

作者：

Ma, Zhihui ^{[1
]}

Wang, Shufan ^{[2
]}

Wang, Tingting ^{[1
]}

Tang, Haopeng ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

[2] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 03期

关键词：

predator-prey model; migration; prey refuge; dynamical behavior; stabilizing effect; destabilizing effect; MODIFIED LESLIE-GOWER; HABITAT COMPLEXITY; BIFURCATION-ANALYSIS; DYNAMICS; SYSTEM;

D O I：

10.1216/rmj.2021.51.951

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a patchy predator-prey model with the effect of prey refuge and migration is proposed. The effect of prey refuge and migration on the dynamical behaviors of the proposed model is investigated by applying an analytical approach. The results show the stabilizing and destabilizing effects of prey refuge and migration are observed under some certain conditions. For the effect of prey refuge, the destabilizing impact is found in heterogeneous predation model with Holling II type functional response. For the effect of migration, the dynamical consequences is bistable while the level of prey refuge is less than a threshold value. The destabilizing effect is firstly observed theoretically when the attack rates of predators is proportional to the migration ratio.

引用

页码：951 / 962

页数：12

共 50 条

[31] Effects of prey refuge and predator cooperation on a predator-prey system
Jang, Sophia R-J
Yousef, Ahmed M.
JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
[32] Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge
Wu, Xiujuan
Luo, Yong
Hu, Yizheng
ABSTRACT AND APPLIED ANALYSIS, 2014,
[33] Complicate dynamical analysis of a discrete predator-prey model with a prey refuge
Khan, A. Q.
Alsulami, Ibraheem M.
AIMS MATHEMATICS, 2023, 8 (07): : 15035 - 15057
[34] Stability analysis of a prey refuge predator-prey model with Allee effects
Ufuktepe, Unal
Kulahcioglu, Burcin
Akman, Olcay
JOURNAL OF BIOSCIENCES, 2019, 44 (04)
[35] A predator-prey model with prey refuge: under a stochastic and deterministic environment
Chatterjee, Anal
Abbasi, Muhammad Aqib
Venturino, E.
Zhen, Jin
Haque, Mainul
NONLINEAR DYNAMICS, 2024, 112 (15) : 13667 - 13693
[36] GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE
Yu, Xiaolei
Sun, Fuqin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[37] On a Leslie-Gower predator-prey model incorporating a prey refuge
Chen, Fengde
Chen, Liujuan
Xie, Xiangdong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2905 - 2908
[38] A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge
Sharma, Swarnali
Samanta, G. P.
CHAOS SOLITONS & FRACTALS, 2015, 70 : 69 - 84
[39] The effect of refuge and immigration in a predator-prey system in the presence of a competitor for the prey
Mukherjee, Debasis
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 277 - 287
[40] Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge
Saha, Sangeeta
Samanta, G. P.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (01)

← 1 2 3 4 5 →