The Lotka-Volterra models with non-local reaction terms-Reference-Cited by-同舟云学术

The Lotka-Volterra models with non-local reaction terms

Published:2022 Issue:11 Volume:21 Page:3865
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Cintra Willian¹,Molina-Becerra Mónica²,Suárez Antonio³

Affiliation:

1. Universidade de Brasília, Departamento de Matemática, Campus Darcy Ribeiro, 01, CEP 70910-900, Brasília, DF, Brasil

2. Universidad de Sevilla, Escuela Politécnica Superior, Dpto. de Matemática Aplicada II, Calle Virgen de África, 7, 41011 Sevilla, Spain

3. Universidad de Sevilla, Fac. de Matemáticas, Dpto. de Ecuaciones Diferenciales y Análisis Numérico and IMUS, Calle Tarfia s/n, 41013 Sevilla, Spain

Abstract

<p style='text-indent:20px;'>In this paper we consider a diffusive Lotka-Volterra system including nonlocal terms in the reaction functions. We analyze the main types of interactions between species: competition, predator-prey and cooperation. We provide existence and non-existence of positive solutions results. For that, we employ mainly bifurcation method and a priori bounds.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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