Lotka-Volterra models with fractional diffusion

Artículos de revistas

Fecha

2017-06-01

Registro en:

Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.

0308-2105

http://hdl.handle.net/11449/162848

10.1017/S0308210516000305

WOS:000402524500002

WOS000402524500002.pdf

Autor

Universidade Estadual de Londrina (UEL)

Universidade Estadual Paulista (Unesp)

Univ Seville

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

fractional Laplacian

Lotka-Volterra models

sub-supersolution method

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