On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
Open Access
- 1 August 1991
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 326 (2) , 829-859
- https://doi.org/10.2307/2001785
Abstract
In this paper, we consider strictly positive solutions of competing species systems with diffusion under Dirichlet boundary conditions. We obtain a good understanding of when strictly positive solutions exist, obtain new nonuniqueness results and a number of other results, showing how complicated these equations can be. In particular, we consider how the shape of the underlying domain affects the behaviour of the equations.Keywords
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