Spatial dynamics of a predator-prey system with cross diffusion

被引：7

作者：

Wang, Caiyun ^{[1
]}

Qi, Suying ^{[1
]}

机构：

[1] Xinzhou Teachers Univ, Dept Math, Xinzhou 034000, Shanxi, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 107卷

关键词：

Cross diffusion; Pattern formation; Predator-prey system; Holling type III functional response; MODEL; SELF; BIFURCATION; PATTERNS;

D O I：

10.1016/j.chaos.2017.12.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a spatial predator-prey model with self-defense mechanism that the prey species keep themselves away from the attack of the predator, which leads the existence of the cross diffusion in biological communities, is investigated. Conditions for cross diffusion induced Turing instability are obtained by mathematical analysis. By the numerical simulations, five types of patterns such as hot/cold spots, hot/cold spots-stripes and stripes patterns emerge. Our study suggests that the interactions of self and cross diffusion have great effects on the mechanism for the emergence of complex dynamics in biological systems. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：55 / 60

页数：6

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