Uniqueness of traveling wave solutions for a biological reaction-diffusion equation

被引：12

作者：

Huang, WZ ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 01期

基金：

美国国家科学基金会;

关键词：

reaction-diffusion equations; microbial growth in flow reactor; traveling wave solutions; uniqueness;

D O I：

10.1016/j.jmaa.2005.04.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of traveling wave solutions for a reaction-diffusion, which serves as models for microbial growth in a flow reactor and for mathematical epidemiology, was previously confirmed. However, the problem on the uniqueness of traveling wave solutions remains open. In this paper we give a complete proof of the uniqueness of traveling wave solutions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：42 / 59

页数：18

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[2]

Bailey N, 1975, MATH THEORY INFECT D

[3]

Ballyk M, 1998, SIAM J APPL MATH, V59, P573

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