A free boundary problem for a predator–prey model

Abstract

This article is concerned with a system of semilinear parabolic equations with a free boundary, which arises in a predator–prey ecological model. The conditions for the existence and uniqueness of a classical solution are obtained. The evolution of the free boundary problem is studied. It is proved that the problem addressed is well posed, and that the predator species disperses to all domains in finite time.

Identifiers

DOI

10.1088/0951-7715/20/8/004

Citations and references