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Title: The Lotka-Volterra models with non-local reaction terms
Authors: Silva, Willian Cintra da
Molina-Becerra, Mónica
Suárez, Antonio
metadata.dc.contributor.affiliation: Universidade de Brasília, Departamento de Matemática
Universidad de Sevilla, Escuela Politécnica Superior, Dpto. de Matemática Aplicada II
Universidad de Sevilla, Fac. de Matemáticas, Dpto. de Ecuaciones Diferenciales y Análisis Numérico and IMUS
Assunto:: Modelo Lotka-Volterra
Issue Date: 2022
Publisher: American Institute of Mathematical Sciences
Citation: CINTRA, Willin; MOLINA-BECERRA, Mónica; SUÁREZ, Antonio. The Lotka-Volterra models with non-local reaction terms. Communications on Pure and Applied Analysis, [S. l.], v., n. 11, 3865-3886, 2022. DOI: 10.3934/cpaa.2022125.
Abstract: 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.
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Matemática (IE MAT)
DOI: 10.3934/cpaa.2022125
metadata.dc.relation.publisherversion: https://www.aimsciences.org/article/doi/10.3934/cpaa.2022125
Appears in Collections:Artigos publicados em periódicos e afins

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