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

[1] The effect of prey refuge in a patchy predator-prey system
Ma, Zhihui
Wang, Shufan
Li, Weide
Li, Zizhen
MATHEMATICAL BIOSCIENCES, 2013, 243 (01) : 126 - 130
[2] The effect of prey refuge in a simple predator-prey model
Ma, Zhihui
Li, Weide
Wang, Shufan
ECOLOGICAL MODELLING, 2011, 222 (18) : 3453 - 3454
[3] Comments to the effect of prey refuge in a simple predator-prey model
Wang, Shufan
Ma, Zhihui
ECOLOGICAL MODELLING, 2014, 287 : 58 - 59
[4] Stability analysis: The effect of prey refuge in predator-prey model
Ma, Zhihui
Wang, Shufan
ECOLOGICAL MODELLING, 2012, 247 : 95 - 97
[5] Stability of a predator-prey model with refuge effect
Kapcak, S.
Elaydi, S.
Ufuktepe, U.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (07) : 989 - 1004
[6] STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE
Chen, Wenchang
Yu, Hengguo
Dai, Chuanjun
Guo, Qing
Liu, He
Zhao, Min
JOURNAL OF BIOLOGICAL SYSTEMS, 2023, 31 (02) : 417 - 435
[7] Multiple Periodicity in a Predator-Prey Model with Prey Refuge
Lu, Weijie
Xia, Yonghui
MATHEMATICS, 2022, 10 (03)
[8] Dynamical complexity of a predator-prey model with a prey refuge and Allee effect
Gao, Jianping
Zhang, Jianghong
Lian, Wenyan
TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (07) : 2061 - 2085
[9] Effect of the Fear Factor and Prey Refuge in an Asymmetric Predator-Prey Model
Yaseen, Rasha M.
Helal, May M.
Dehingia, Kaushik
Mohsen, Ahmed A.
BRAZILIAN JOURNAL OF PHYSICS, 2024, 54 (06)
[10] Predator-prey dynamics with Allee effect in prey refuge
Longxing Qi
Lijuan Gan
Meng Xue
Sakhone Sysavathdy
Advances in Difference Equations, 2015

← 1 2 3 4 5 →