Abstract
Taking the spatial diffusion into account, we consider a reactiondiffusion 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2007 |
| Publication status | Published - 25 Oct 2007 |
Keywords
- Chemostat
- Competition model
- Leray-Schauder degree
- Maximum principle
- Principal eigenvalue