Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
