On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
- 1 August 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 53 (4), 1026-1044
- https://doi.org/10.1137/0153051
Abstract
A system of reaction-diffusion equations modeling two-species competition in an unstirred chemostat is considered. The asymptotic behavior of solutions is given as a function of the parameters, and it is determined when neither, one, or both competing populations survive. Techniques include the maximum principle, theory of uniform persistence in infinite-dimensional dynamical systems, and the theory of strongly order-preserving semidynamical system.Keywords
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