TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL

被引：0

作者：

Feiying Yang ^{[1
]}

Runlong Qiao ^{[1
]}

Wantong Li ^{[1
]}

机构：

[1] School of Math.and Statistics,Lanzhou University

来源：

Annals of Applied Mathematics | 2014年 / 02期

关键词：

traveling waves; nonlocal dispersal; Laplace transform;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper is concerned with traveling wave solutions to a nonlocal dispersal epidemic model.Combining the upper and lower solutions and monotone iteration method,we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one.Furthermore,by the approximation method,the existence of traveUng wave fronts for the critical speed is estabUshed as weU.Finally,we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.

引用

页码：222 / 235

页数：14

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