A delayed-diffusive predator-prey model with a ratio-dependent functional response

被引：15
|
作者：
Yang, Ruizhi [1 ]
Liu, Ming [1 ]
Zhang, Chunrui [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 53卷
关键词：
Predator-prey; Delay; Turing instability; Hopf bifurcation; BIFURCATION-ANALYSIS; INTERFERENCE; PATTERNS;
D O I：
10.1016/j.cnsns.2017.04.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a delayed-diffusive predator-prey model with a ratio-dependent functional response subject to Neumann boundary condition is studied. More precisely, Turing instability of positive equilibrium, instability and Hopf bifurcation induced by time delay are discussed. In addition, by the theory of normal form and center manifold, conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived. Numerical simulations are conducted to illustrate the theoretical analysis. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：94 / 110
页数：17
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