Traveling Wave Solutions for Some Classes of Diffusive Predator-Prey Models

被引：18

作者：

Ding, Wei ^{[1
]}

Huang, Wenzhang ^{[1
,2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2016年 / 28卷 / 3-4期

关键词：

Diffusive Predator-prey models; Traveling wave; Shooting argument; Liapunov function; Minimum wave speed; LOTKA-VOLTERRA EQUATIONS; SYSTEMS; EXISTENCE; CONNECTION; SPEEDS;

D O I：

10.1007/s10884-015-9472-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the traveling wave solutions for some types of diffusive Predator-prey systems, including the models with prey and predator dependent functional response, that have served as models to study the dynamics of Predator-prey interaction. The method used to show the existence of traveling waves and to identify minimum wave speed consists of two steps. First we obtain globally defined solutions by a shooting argument that is a modification of a recently developed method. We then show the convergence of these global solutions to an interior equilibrium point by the construction of a Liapunov function.

引用

页码：1293 / 1308

页数：16

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