Stability of solutions of chemotaxis equations in reinforced random walks
Stability of solutions of chemotaxis equations in reinforced random walks
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DOI：
10.1016/s0022-247x(02)00147-6
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发表时间：
2002-08-01
影响因子：
1.3
通讯作者：
Tello, JI
中科院分区：
文献类型：
--
作者：
Friedman, A;Tello, JI
本文考虑由一个抛物型方程和一个常微分方程组成的非线性微分方程组。该系统产生于趋化性，即生物体通过向更高或更低的化学物质浓度移动或通过聚集或分散来响应化学物质的过程。我们证明了系统的平稳解是渐近稳定的。(C)2002 Elsevier Science（美国）。All rights reserved.
In this paper we consider a nonlinear system of differential equations consisting of one parabolic equation and one ordinary differential equation. The system arises in chemotaxis, a process whereby living organisms respond to chemical substance by moving toward higher, or lower, concentrations of the chemical substance, or by aggregating or dispersing. We prove that stationary solutions of the system are asymptotically stable. (C) 2002 Elsevier Science (USA). All rights reserved.