Artículo
Lotka-Volterra models with fractional diffusion
Autor/es | Oliveira Alves, Michele de
Oliveira Pimenta, Marcos Tadeu de Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-06 |
Fecha de depósito | 2017-06-20 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2012-31304
FAPESP 2014/16136-1 CNPq 442520/2014-0 |
Cita | Oliveira Alves, M.d., Oliveira Pimenta, M.T.d. y Suárez Fernández, A. (2017). Lotka-Volterra models with fractional diffusion. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 147 (3), 505-528. |
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