Stability and Bifurcation Analysis of a Beddington-DeAngelis Prey-Predator Model with Fear Effect, Prey Refuge and Harvesting

被引：13
|
作者：
Wang, Jiao-Guo [1 ]
Meng, Xin-You [2 ]
Lv, Long [1 ]
Li, Jie [1 ]
机构：
[1] Lanzhou Coll Informat Sci & Technol, Coll Gen Educ, Lanzhou 730300, Gansu, Peoples R China
[2] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2023年 / 33卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Prey-predator; Bogdanov-Takens bifurcation; prey refuge; fear effect; Beddington-DeAngelis; SYSTEM; DYNAMICS; BEHAVIOR; RISK;
D O I：
10.1142/S021812742350013X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a Beddington-DeAngelis prey-predator model with fear effect, refuge and harvesting is investigated. First, the positivity of solutions and boundedness of system are given. Then, the existence and local stability of equilibria of such system are obtained. Next, not only different codimension-one bifurcations, such as saddle-node bifurcation, transcritical bifurcation and Hopf bifurcation take place, but also Bogdanov-Takens bifurcation of codimension-two occurs as predicted by the center manifold theorem and bifurcation theory. Finally, some numerical simulations are carried out to confirm our theoretical results.
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页数：26
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