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Stability and instability analysis for a ratio-dependent predator–prey system with diffusion effect

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成果类型:
期刊论文
作者:
Liao, Maoxin*;Tang, Xianhua;Xu, Changjin
通讯作者:
Liao, Maoxin
作者机构:
[Liao, Maoxin] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Liao, Maoxin; Xu, Changjin; Tang, Xianhua] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China.
[Xu, Changjin] Hunan Inst Engn, Coll Sci, Xiangtan 411104, Hunan, Peoples R China.
通讯机构:
[Liao, Maoxin] U
Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Ratio-dependent predator-prey system;Diffusion driven;Stability;Instability;Hopf bifurcation;Periodic solution
期刊:
Nonlinear Analysis: Real World Applications
ISSN:
1468-1218
年:
2011
卷:
12
期:
3
页码:
1616-1626
基金类别:
NNSF of ChinaNational Natural Science Foundation of China (NSFC) [10771215]; Hunan Provincial Education DepartmentHunan Provincial Education Department [07C639]; Project of Hunan Provincial Youth Key Teacher
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
In this paper, we consider a ratio-dependent predator-prey system with diffusion. And we mainly discuss the following problems: (1) stability and Hopf bifurcation analysis of the positive equilibrium for the reduced ODE system; (2) Diffusion-driven instability of the equilibrium solution; (3) Hopf bifurcations for the corresponding diffusion system with homogeneous Neumann boundary conditions. In order to verify our theoretical results, some numerical simulations are also include...

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