Periodic solutions of a spatiotemporal predator-prey system with additional food

被引：6
|
作者：
Li, Jing [1 ]
Jin, Zhen [1 ,2 ]
Sun, Gui-Quan [2 ]
机构：
[1] North Univ China, Dept Comp Sci & Technol, Taiyuan 030051, Shanxi, Peoples R China
[2] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 91卷
基金：
中国国家自然科学基金;
关键词：
Hopf bifurcation; Time delay; Spatial diffusion; Predator-prey system; PARAMECIUM-AURELIA; HOPF-BIFURCATION; DYNAMICS; DIDINIUM; COMPLEXITY; STABILITY; MODEL;
D O I：
10.1016/j.chaos.2016.06.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a spatiotemporal predator-prey system with additional food supplied is investigated. By analyzing eigenvalues of the characteristic equation associated with delay parameter, the conditions of the existence of Hopf bifurcation in one dimension space are obtained. We analyze the properties of bifurcating period solutions based on the normal form theory and the center manifold theorem of partial functional differential equations (PFDs). Furthermore, numerical simulations confirm the theoretical results. The obtained results may provide some new insights on periodic oscillation in the densities of predator and prey. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：350 / 359
页数：10
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