On a time-dependent bio-reactor model with chemotaxis

Authors:
Le Dung
Affiliations:
Division of Mathematics and Statistics, Department of Mathematics, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, TX
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 3
Cited 0

Dynamic theory of quasilinear parabolic equations—I. Abstracts evolution equations

Non-Linear Analysis
Ultimately uniform boundedness of solutions and gradients for degenerate parabolic systems

Nonlinear Analysis: Theory, Methods & Applications
Qualitative behavior of solutions of chemotactic diffusion systems: effects of motility and chemotaxis and dynamics

SIAM Journal on Mathematical Analysis

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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. If the parameters of the system are periodic, sufficient conditions for positive periodic solutions will be derived in terms of parabolic eigenvalue problems.