Persistence of traveling wave solutions in a bio-reactor model with strong generic delay kernels and nonlocal effect

In this article, we consider the persistence of nontrivial traveling wave solutions of a bio-reactor system with strong generic delay kernels and nonlocal effect, which models the microbial growth in a flow reactor. By using the geometric singular perturbation theory and the center manifold theorem,...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2013; no. 87; pp. 1 - 11
Main Authors Nai-Wei Liu, Ting-Ting Kong
Format Journal Article
LanguageEnglish
Published Texas State University 05.04.2013
Subjects
nonlocal effect
R-D equations
singular perturbation
strong generic delay kernels
Traveling wave solutions
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Summary:In this article, we consider the persistence of nontrivial traveling wave solutions of a bio-reactor system with strong generic delay kernels and nonlocal effect, which models the microbial growth in a flow reactor. By using the geometric singular perturbation theory and the center manifold theorem, we show that traveling wave solutions exist provided that the delays are sufficiently small with the strong generic delay kernels.
ISSN:1072-6691