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The Lotka-Volterra models with nonlocal cross-diffusivity terms

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dc.contributor.authorCosta, M. A.V. [UNESP]
dc.contributor.authorMorales-Rodrigo, C.
dc.contributor.authorSuárez, A.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidad de Sevilla
dc.date.accessioned2025-04-29T20:09:04Z
dc.date.issued2025-07-01
dc.description.abstractWe consider the Lotka-Volterra systems in their three classic forms: competition, prey-predator, and cooperation. These systems include nonlocal cross-diffusivity terms, meaning that the diffusion velocity rate of one species depends on the total population of the other species. The inclusion of these nonlocal diffusivity terms causes a significant change in the structure of coexistence states compared to the classical Lotka-Volterra systems. To obtain these results, we employ mainly the fixed point index in cones.en
dc.description.affiliationDepartamento de Matemática e Computação Universidade Estadual Paulista - UNESP, SP
dc.description.affiliationDepartamento de Ecuaciones Diferenciales y Análisis Numérico IMUS Faculdad de Matemáticas Universidad de Sevilla
dc.description.affiliationUnespDepartamento de Matemática e Computação Universidade Estadual Paulista - UNESP, SP
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2025.129316
dc.identifier.citationJournal of Mathematical Analysis and Applications, v. 547, n. 1, 2025.
dc.identifier.doi10.1016/j.jmaa.2025.129316
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.scopus2-s2.0-85216651841
dc.identifier.urihttps://hdl.handle.net/11449/307341
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.sourceScopus
dc.subjectCoexistence states
dc.subjectCross-diffusion
dc.subjectIndex point fixed
dc.subjectLotka-Volterra systems
dc.subjectNonlocal diffusivity terms
dc.titleThe Lotka-Volterra models with nonlocal cross-diffusivity termsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0002-6407-7758[3]

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