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

共 50 条

[31] Spatial dynamics in a predator-prey model with Beddington-DeAngelis functional response
Zhang, Xiao-Chong
Sun, Gui-Quan
Jin, Zhen
PHYSICAL REVIEW E, 2012, 85 (02):
[32] BIFURCATION ANALYSIS AND DYNAMIC BEHAVIOR TO A PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND PROTECTION ZONE
He, Xiao
Zheng, Sining
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (12): : 4641 - 4657
[33] STABILITY AND BIFURCATION IN A BEDDINGTON-DEANGELIS TYPE PREDATOR-PREY MODEL WITH PREY DISPERSAL
Xu, Rui
Ma, Zhien
Gan, Qintao
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (05) : 1761 - 1783
[34] A Modified Leslie-Gower Model Incorporating Beddington-DeAngelis Functional Response, Double Allee Effect and Memory Effect
Rahmi, Emli
Darti, Isnani
Suryanto, Agus
Trisilowati
FRACTAL AND FRACTIONAL, 2021, 5 (03)
[35] Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
Li, Haiyin
Takeuchi, Yasuhiro
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 644 - 654
[36] A detailed study of the Beddington-DeAngelis predator-prey model
Haque, Mainul
MATHEMATICAL BIOSCIENCES, 2011, 234 (01) : 1 - 16
[37] Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
Gupta, R. P.
Chandra, Peeyush
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (01) : 278 - 295
[38] Asymptotic analysis for an age-structured predator-prey model with Beddington-Deangelis functional response
Yuan, Yuan
Fu, Xianlong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
[39] Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting
Meng, Xin-You
Wu, Yu-Qian
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (04) : 2668 - 2696
[40] Traveling front in a diffusive predator-prey model with Beddington-DeAngelis functional response
Dong, Huimiao
Liu, Xingbo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (03) : 3682 - 3711

← 1 2 3 4 5 →