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Lotka-Volterra models with fractional diffusion


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Opened Access Lotka-Volterra models with fractional diffusion

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Author: Oliveira Alves, Michele de
Oliveira Pimenta, Marcos Tadeu de
Suárez Fernández, Antonio
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2017-06
Published in: Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 147 (3), 505-528.
Document type: Article
Abstract: In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic problem and show that the sub-supersolution method works for the scalar problem and in case of systems as well. We apply this method to show existence and non-existence of positive solutions in terms of the system parameters.
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DOI: 10.1017/S0308210516000305

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