Traveling fronts of the volume-filling chemotaxis model with general kinetics

被引：10
|
作者：
Ma, Manjun [1 ,2 ]
Yang, Daoming [2 ]
Tang, Hengsheng [2 ]
机构：
[1] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 11期
关键词：
Volume-filling chemotaxis models; General forms of kinetics; Existence of traveling fronts; Perturbation method; Fredholm theory; Banach fixed-point principle;
D O I：
10.1016/j.amc.2010.04.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of traveling fronts for the volume-filling chemotaxis model with general kinetics by applying the perturbation method. The proof relies on the Fredholm theory and the Banach contractive mapping principle. The obtained results can easily detect the existence of traveling fronts for some models investigated in the known references. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：3162 / 3171
页数：10
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