BIFURCATION ANALYSIS IN A MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

被引：2
|
作者：
Cao, Jianzhi [1 ]
Ma, Li [1 ]
Hao, Pengmiao [1 ,2 ]
机构：
[1] Hebei Univ, Coll Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intellig, Baoding 071002, Peoples R China
[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期
关键词：
Modified Leslie-Gower predator-prey model; Beddington-DeAngelis functional response; bifurcation; STABILITY;
D O I：
10.11948/20230183
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the dynamics of a modified Leslie-Gower predator-prey model with Bedington-DeAngelis functional response. Some properties are explored, including positivity, dissipativity, permanence, and stability. In addition, the transcritical bifurcation and Hopf bifurcation taking d as the bifurcation parameter and Bogdanov-Takens bifurcation taking d and n as bifurcation parameters are studied. The theoretical results of this paper are verified by numerical simulation. The results show that the system has rich dynamical behaviors.
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页码：3026 / 3053
页数：28
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