摘要
本文利用由线性逼近得到稳定性的相关理论,通过对平衡点进行稳定性分析,讨论了一类趋化性方程常定态的稳定性.文中给出了相应的稳定性判别准则,并将这些结果应用于一些重要的生物模型.
In this paper,we study the stability of constant steady states to a type of chemotaxis equation and give some stability criterions.The main tools are stability analysis of an equilibrium point.The results are illustrated in application to a number of partial differential equation models arising in biology.
出处
《应用数学学报》
CSCD
北大核心
2012年第2期346-355,共10页
Acta Mathematicae Applicatae Sinica
关键词
趋化性
常定态
稳定性
chemotaxis
steady states
stability
