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periodic competition model

Proceedings of the Edinburgh Mathematical Society (1)

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Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion
Part of
Yifu Wang, Jingxue Yin, Yuanyuan Ke
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 60 / Issue 4 / November 2017

Published online by Cambridge University Press:

15 December 2016, pp. 1065-1075
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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.