Coexistence Solutions for a Periodic Competition Model with Singular-Degenerate Diffusion

Yifu Wang; Jingxue Yin; Yuanyuan Ke

doi:10.1017/S001309151600033X

Coexistence Solutions for a Periodic Competition Model with Singular-Degenerate Diffusion

Yifu Wang, Jingxue Yin, Yuanyuan Ke^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1065-1075
Number of pages	11
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	60
Issue number	4
DOIs	https://doi.org/10.1017/S001309151600033X
Publication status	Published - 1 Nov 2017

Keywords

coexistence solutions
periodic competition model
singular-degenerate diffusion

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10.1017/S001309151600033X

Cite this

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title = "Coexistence Solutions for a Periodic Competition Model with Singular-Degenerate Diffusion",

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.",

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AB - 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.

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KW - singular-degenerate diffusion

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Coexistence Solutions for a Periodic Competition Model with Singular-Degenerate Diffusion

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Keywords

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