Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response

被引：0

作者：

Liu, Jia ^{[1
]}

Zhou, Hua ^{[1
]}

Tong, Kai-yu ^{[1
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

来源：

INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, ICIC 2012 | 2012年 / 7390卷

关键词：

Turing instability; self-diffusion; cross-diffusion; predator-prey;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A predator-prey model with modified Holling-Type II functional response under Neumann boundary condition is proposed. We show that under some conditions the cross-diffusion can induce the Turing instability of the uniform equilibrium, which is stable for the kinetic system and for the self-diffusion reaction system. Also, the numerical simulation is given in this paper, and verifying the result of the paper is correct.

引用

页码：145 / 150

页数：6

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