Yijie Meng, Yifu Wang
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.
Show me the PDF file (230 KB), TEX file, and other files for this article.
| Yijie Meng |
Department of Mathematics, Xiang Fan University
Xiang Fan 441053, China
| Yifu Wang |
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
Return to the EJDE web page