The stability of the Keller-Segel model

被引：0

作者：

Solis, FJ ^{[1
]}

Cortés, JC

Cardenas, OJ

机构：

[1] CIMAT, Guanajuato 36240, Mexico

[2] Univ Politecn Valencia, E-46071 Valencia, Spain

[3] Univ Guanajuato, Guanajuato 36240, Mexico

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 39卷 / 9-10期

关键词：

chemotaxis; attractant; integrable perturbations; stability; motility;

D O I：

10.1016/S0895-7177(04)90528-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study initial integrable perturbations of uniform solutions of the Keller-Segel model. We found a stability criterion which depends on the difference between the coefficient of random motion of attractant molecules and the motility coefficient. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：973 / 979

页数：7

共 9 条

[1]

[Anonymous], 1993, MATRIX ANAL

[2]

[Anonymous], 1995, Integral Transforms and Their Applications

[3] Accurate analytic numerical solution of initial value problems for parabolic systems [J].