STABILITY AND BIFURCATION IN A PREDATOR-PREY MODEL WITH PREY REFUGE

被引：6

作者：

Chen, Wenchang ^{[1
]}

Yu, Hengguo ^{[1
]}

Dai, Chuanjun ^{[2
]}

Guo, Qing ^{[2
,3
]}

Liu, He ^{[2
,3
]}

Zhao, Min ^{[2
,4
]}

机构：

[1] Wenzhou Univ, Sch Math & Phys, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China

[3] Univ Northern British Columbia, Environm Engn Program, Prince George, BC V2N 4Z9, Canada

[4] Wenzhou Univ, Key Lab Subtrop Oceans & Lakes Environm & Biol Res, Wenzhou 325035, Zhejiang, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2023年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Predator-Prey Model; Prey Refuge; Equilibria; Stability; Bifurcation; GLOBAL STABILITY; ADDITIONAL FOOD; QUALITATIVE-ANALYSIS; ALTERNATIVE FOOD; STAGE-STRUCTURE; SYSTEM; DYNAMICS; COMPLEXITY; PROVISION; FEAR;

D O I：

10.1142/S0218339023500146

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a predator-prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator-prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov-Takens bifurcation. In addition, a series of numerical simulations were carried out to illustrate the theoretical analysis, and the numerical results are consistent with the analytical results. Our results demonstrate that prey refuge has a great impact on the predator-prey dynamics.

引用

页码：417 / 435

页数：19

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