An analysis of a predator-prey model with both diffusion and migration

被引：18
|
作者：
Liu, Pan-Ping [1 ]
机构：
[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 9-10期
关键词：
Diffusion and migration; Dispersal relation; Frequency; Wave number; OSCILLATORY CHEMICAL-REACTIONS; INVASION; DYNAMICS; SYSTEMS; PHASE; WAVES; CHAOS; BIFURCATIONS; COMPLEXITY; PATTERN;
D O I：
10.1016/j.mcm.2009.12.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An analysis of a reaction-diffusion-migration model of the interaction between prey and predator is presented. I give the analysis of dispersal relation of wave behavior in detail. Moreover, wave number against frequency for different values is given by means of both numerical simulation and nonlinear analysis for derivation of the phase equation. The obtained results show that numerical simulations are in agreement with mathematical analysis. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1064 / 1070
页数：7
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