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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lotka-Volterra models with fractional diffusion

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Author(s):
Alves, Michele O. ; Pimenta, Marcos T. O. ; Suarez, Antonio
Total Authors: 3
Document type: Journal article
Source: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. 147, n. 3, p. 505-528, JUN 2017.
Web of Science Citations: 2
Abstract

We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method to show the existence and non-existence of positive solutions in terms of the system parameters. (AU)

FAPESP's process: 14/16136-1 - Study of semiclassical solutions to the stationary nonlinear Dirac equation
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants