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Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion
Published online by Cambridge University Press: 15 December 2016
Abstract
We investigate a system of singular–degenerate parabolic equations with non-local terms, which can be regarded as a spatially heterogeneous competition model of Lotka–Volterra type. Applying the Leray–Schauder fixed-point theorem, we establish the existence of coexistence periodic solutions to the problem, which, together with the existing literature, gives a complete picture for such a system for all parameters.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 4 , November 2017 , pp. 1065 - 1075
- Copyright
- Copyright © Edinburgh Mathematical Society 2017