两种物种抛物-椭圆排斥趋化模型的定性分析  

Qualitative analysis of aparabolic-elliptic repulsion chemotaxis model with two species

作　　者：赵晓婕[1] 张娜[1] 

机构地区：[1]东华大学应用数学系,上海201620

出　　处：《纺织高校基础科学学报》2013年第3期344-350,369,共8页Basic Sciences Journal of Textile Universities

摘　　要：本文考虑一个两物种的抛物-椭圆排斥趋化模型.首先,用不动点原理证明了模型解的局部存在性.其次,用Lp估计技巧和Moser迭代证明了整体解存在且一致有界.最后通过构造Lyapunov泛函证明了模型解在L∞(Ω)空间中指数收敛到非零常数稳定解.A parabolic-elliptic repulsion chemotaxis model with two species was considered in this paper . First ,based on a fixed point argument ,it was proved that the model had a local solution .Then ,it was proved that the model had a globally-in-time bounded solution via the Lp-estimate technique and Moser′sisiteration method .Finally ,by the Lyapunov functional approach ,it was shown that the solution conver-ges to a non-zero stationary solution exponentially in L∞ （Ω） as t→ ＋ ∞ .

关 键 词：趋化性 有界性 稳定解 收敛性 

分 类 号：O175.26[理学—数学]