Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay

被引：22
作者：
Yang, Ruizhi [1 ]
Ma, Jian [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 109卷
关键词：
Predator-prey; Delay; Turing instability; Hopf bifurcation; HOPF-BIFURCATION; FUNCTIONAL-RESPONSES; MODEL; INTERFERENCE; STABILITY; PATTERNS; PARASITES; DYNAMICS;
D O I：
10.1016/j.chaos.2018.02.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamics of a diffusive predator-prey system with anti-predator behaviour and maturation delay subject to Neumann boundary condition is investigated in this paper. The global stability of boundary equilibrium is studied. For coexisting equilibrium, Turing instability induced by diffusion and Hopf bifurcation induced by time delay are studied. By the theory of normal form and center manifold method, the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：128 / 139
页数：12
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