Department of Mathematics, Xiang Fan University
Xiang Fan 441053, China
email: yijie_meng@sina.com
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
email: yifu_wang@163.com
Yijie Meng, Yifu Wang
Abstract:
Taking the spatial diffusion into account, we consider a
reaction-diffusion system that models three species
on a growth-limiting, nonreproducing resources in an unstirred
chemostat. Sufficient conditions for the existence of a
positive solution are determined. The main techniques is
the Leray-Schauder degree theory.
Submitted May 10, 2007. Published October 25, 2007.
Math Subject Classifications: 35J55; 58J20.
Key Words: Chemostat; competition model; principal eigenvalue;
maximum principle; Leray-Schauder degree.
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Yijie Meng Department of Mathematics, Xiang Fan University Xiang Fan 441053, China email: yijie_meng@sina.com |
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| Yifu Wang Department of Applied Mathematics Beijing Institute of Technology, Beijing 100081, China email: yifu_wang@163.com |
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