%0 Journal Article
%T Persistence of traveling wave solutions in a bio-reactor model with strong generic delay kernels and nonlocal effect
%A Nai-Wei Liu
%A Ting-Ting Kong
%J Electronic Journal of Differential Equations
%D 2013
%I Texas State University
%X 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.
%K Traveling wave solutions
%K R-D equations
%K singular perturbation
%K strong generic delay kernels
%K nonlocal effect
%U http://ejde.math.txstate.edu/Volumes/2013/87/abstr.html