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

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