http://repositorio.unb.br/handle/10482/46907
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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