On a system of reaction-diffusion equations arising from competition in an unstirred chemostat
SB Hsu, P Waltman - SIAM Journal on Applied Mathematics, 1993 - SIAM
SB Hsu, P Waltman
SIAM Journal on Applied Mathematics, 1993•SIAMA 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.
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.
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.
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