Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
Authors:
- Stephen A. GourleySGStephen A. Gourley
- Shigui RuanSRShigui Ruan
- 1 January 2003
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 35 (3) , 806-822
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.Keywords
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