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

被引：8
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
收藏
页码：417 / 435
页数：19
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