Article
Lotka-Volterra models with fractional diffusion
Author/s | Oliveira Alves, Michele de
Oliveira Pimenta, Marcos Tadeu de Suárez Fernández, Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017-06 |
Deposit Date | 2017-06-20 |
Published in |
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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 ... 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-31304
![]() FAPESP 2014/16136-1 ![]() CNPq 442520/2014-0 ![]() |
Citation | 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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