Abstract
In this paper we consider a two-species competition model described by a reaction-diffusion system with nonlocal delays. In the case of a general domain, we study the stability of the equilibria of the system by using the energy function method. When the domain is one-dimensional and infinite, by employing linear chain techniques and geometric singular perturbation theory, we investigate the existence of travelling front solutions of the system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 806-822 |
| Number of pages | 17 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Competition-diffusion
- Energy function
- Equilibrium
- Geometric singular perturbation
- Stability
- Travelling front
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics