Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. (English) Zbl 1040.92045

Summary: 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.


92D40 Ecology
35K57 Reaction-diffusion equations
92D25 Population dynamics (general)
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
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