Global behaviour of a reaction-diffusion system modelling chemotaxis

被引：289

作者：

Gajewski, H ^{[1
]}

Zacharias, K ^{[1
]}

机构：

[1] Forschungsverbund Berlin eV, Weierstr Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 1998年 / 195卷

关键词：

initial boundary value problem; reaction-diffusion equations; a priori estimates; Lyapunov function; equilibria; asymptotic behaviour; population dynamics; chemotaxis;

D O I：

10.1002/mana.19981950106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Lyapunov functionals the global behaviour of the solutions of a reaction-diffusion system modelling chemotaxis is studied for bounded piecewise smooth domains in the plane. Geometric criteria can be given so that this dynamical system tends to a (not necessarily trivial) stationary state.

引用

页码：77 / 114

页数：38

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