Abstract
This paper is concerned with positive stationary solutions for a Lotka-Volterra cooperative model with a density-dependent diffusion term of a fractional type. The existence of stationary patterns is proven by the presence of density-dependent diffusion. Our proof is based on the Leray-Schauder degree theory and some a priori estimates. We also derive a certain limiting system which positive stationary solutions satisfy.
| Original language | English |
|---|---|
| Pages (from-to) | 93-112 |
| Number of pages | 20 |
| Journal | Funkcialaj Ekvacioj |
| Volume | 52 |
| Issue number | 3 |
| Publication status | Published - 2009 Dec |
Keywords
- Cooperative model
- Density-dependent diffusion
- Leray-Schauder degree theory
- Limiting system
- Stationary patterns
ASJC Scopus subject areas
- Algebra and Number Theory
- Analysis
- Geometry and Topology