Dynamics of a bio-reactor model with chemotaxis

[摘要] Long time dynamics of solutions to a strongly coupled system of parabolic equations modeling the competition in bio-reactors with chemotaxis will be studied. In particular, we show that the dynamical system possesses a global attractor and that it is strongly uniformly persistent if the trivial steady state is unstable. Using a result of Smith and Waltman on perturbation of global attractors, we also show that the positive steady state is unique and globally attracting. (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-11-01