Publication: Lotka-Volterra models with fractional diffusion
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Coadvisor
Graduate program
Undergraduate course
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Volume Title
Publisher
Cambridge Univ Press
Type
Article
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Acesso aberto
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.
Description
Keywords
fractional Laplacian, Lotka-Volterra models, sub-supersolution method
Language
English
Citation
Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.
