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.

引用

页码：3026 / 3053

页数：28

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