Dynamics of two species predator-prey model with spatially nonhomogeneous diffusion strategy

被引：0
作者：
Ma, Li [4 ]
Liang, Haihua [1 ,2 ]
Wang, Huatao [3 ]
机构：
[1] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou 510320, Peoples R China
[2] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Guangdong, Peoples R China
[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430000, Hubei, Peoples R China
[4] Guangdong Polytech Sci & Technol, Coll Comp Engn Technol, Zhuhai 519090, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 548卷 / 02期
关键词：
Density dependent diffusion; Implicit function theorem; Spatial heterogeneity; Hopf bifurcation; Stability; POSITIVE SOLUTIONS; BIFURCATION; COMPETITION; STABILITY; BEHAVIOR;
D O I：
10.1016/j.jmaa.2025.129412
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a Holling type-II predator-prey system with spatially nonhomogeneous diffusion strategy. By employing the methods of the implicit function theorem, eigenvalue theory and bifurcation theory, we analyze the stability/instability of the positive steady state and explore the existence of a Hopf bifurcation when the diffusion rate is large. Furthermore, when the driven diffusion functions Q1(x) = eqm(x) and Q2(x) equivalent to 1, we detailed discuss how the parameter q of the density dependent diffusion Q1(x) affect the occurrence of Hopf bifurcations and the values of Hopf bifurcations.<br /> (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：32
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