Simulation of pattern in a cross-diffusive predator-prey system with the Allee effect

被引：0

作者：

Lian, Xinze ^{[1
,2
]}

Huang, Lei ^{[2
,3
]}

机构：

[1] Department of Mathematics, Wenzhou University

[2] Chengdu Institute of Computer Application, Chinese Academy of Sciences

[3] Sichuan College of Architectural Technology

来源：

Journal of Information and Computational Science | 2014年 / 11卷 / 02期

关键词：

Allee effect; Cross diffusion; Pattern; Predator-prey;

D O I：

10.12733/jics20102854

中图分类号：

学科分类号：

摘要：

In this paper, we consider a cross-diffusive predator-prey system where the prey growth is damped by Allee effect. In the case without cross diffusion effect, there is nonexistence of self-diffusion-driven instability for the model. And in the case with cross diffusion effect, the positive equilibrium may be unstable under certain conditions. Furthermore, we present novel numerical evidence of time evolution of patterns controlled by cross-diffusion in the model, and find that the model dynamics exhibits a cross-diffusion controlled formation growth to spots, stripes, holes. This may enrich the pattern formation in predator-prey model with Allee effect. Copyright © 2014 Binary Information Press.

引用

页码：527 / 534

页数：7

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