In this paper we investigate the role of cross-diffusion in the 3 x 3 Lotka-Volterra competition model. Of particular interest is the existence of non-constant steady states created by cross-diffusion in 3 X 3 systems. A comparison with 2 x 2 systems is also included.
|Original language||English (US)|
|Number of pages||16|
|Journal||Discrete and Continuous Dynamical Systems|
|State||Published - Dec 1 2000|
- A priori estimates
- Competition-diffusion systems
- Degree theory