ASYMPTOTIC STABILITY OF TRAVELING FRONTS TO A CHEMOTAXIS MODEL WITH NONLINEAR DIFFUSION

被引：5
|
作者：
Ghani, Mohammad [1 ]
Li, Jingyu [1 ]
Zhang, Kaijun [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 12期
基金：
美国国家科学基金会;
关键词：
Chemotaxis; nonlinear diffusion; asymptotic stability; traveling fronts; GLOBAL EXISTENCE; SYSTEM; PREVENTION; EQUATIONS; WAVES;
D O I：
10.3934/dcdsb.2021017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are interested in the existence and stability of traveling waves of arbitrary amplitudes to a chemotaxis model with porous medium diffusion. We first make a complete classification of traveling waves under specific rela-tions among the biological parameters. Then we show all these traveling waves are asymptotically stable under appropriate perturbations. The proof is based on a Cole-Hopf transformation and the energy method.
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页码：6253 / 6265
页数：13
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