Hopf bifurcation analysis of a delayed diffusive predator-prey system with nonconstant death rate

被引：13
作者：
Yang, Ruizhi [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2015年 / 81卷
关键词：
Hopf bifurcation; Delay; Diffusion; Holling III functional response; Prey-predator; MODEL; STABILITY; MEMORY; NOISE;
D O I：
10.1016/j.chaos.2015.09.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a delayed diffusive predator-prey model with nonconstant death rate and Hotting III functional response subject to Neumann boundary condition is considered. Stability of the positive equilibrium and existence of Hopf bifurcation are investigated. And an explicit formula for determining bifurcation direction and stability of bifurcating periodic solution is derived by the theory of normal form and center manifold. Some numerical simulations are carried out. (C) 2015 Elsevier Ltd. All rights reserved.
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收藏
页码：224 / 232
页数：9
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