期刊
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
卷 136, 期 -, 页码 431-444出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0308210500004649
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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 omega-limit set of any trajectory consists of regular stationary solutions. Some lower and tipper bounds oil the stationary solutions are found. For a given range of parameters there are stationary solutions which are inhomogeneous in space.
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