Nai-Wei Liu, Ting-Ting Kong
Abstract:
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.
Submitted February 24, 2013. Published April 5, 2013.
Math Subject Classifications: 35K57, 34C37, 92D25.
Key Words: Traveling wave solutions; R-D equations; singular perturbation;
strong generic delay kernels; nonlocal effect.
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Nai-Wei Liu School of Mathematics and Informational Science Yantai University, Yantai, Shandong 264005, China email: liunaiwei@yahoo.com.cn |
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Ting-Ting Kong School of Mathematics and Informational Science Yantai University, Yantai, Shandong 264005, China email: kongtingting1219@gmail.com |
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