Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
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DOI：
10.1017/s0308210500004649
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发表时间：
2006-04
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影响因子：
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通讯作者：
D. Wrzosek
中科院分区：
文献类型：
--
作者：
D. Wrzosek
构造了拟线性抛物系统的Lyapunov泛函，该系统模拟了趋化性并考虑了体积填充效应。对于一些典型情况，证明了任意轨迹的ω极限集由正则平稳解组成。得到了平稳解的下界和上界。对于给定的参数范围，存在空间上非齐次的平稳解。
The Lyapunov functional is constructed for a quasilinear parabolic system which models chemotaxis and takes into account a volume-filling effect. For some typical case it is proved that the ω-limit set of any trajectory consists of regular stationary solutions. Some lower and upper bounds on the stationary solutions are found. For a given range of parameters there are stationary solutions which are inhomogeneous in space.