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.
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页码：145 / 150
页数：6
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