NONLOCAL DIFFUSION ELLIPTIC SYSTEM MODELLING THE BEHAVIOUR OF A BACTERIA AND A LIVING NUTRIENT
| dc.contributor.author | Costa, Marcos Antonio Viana [UNESP] | |
| dc.contributor.author | Carranza, Yino Cueva [UNESP] | |
| dc.contributor.author | Morales-Rodrigo, Cristian | |
| dc.contributor.author | Suárez, Antonio | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidad de Sevilla | |
| dc.date.accessioned | 2025-04-29T18:48:33Z | |
| dc.date.issued | 2025-01-01 | |
| dc.description.abstract | In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the bacteria in a non-local and nonlinear way. Mainly, we employ bifurcation methods and the Implicit Function Theorem to obtain the existence and uniqueness of positive solution. | en |
| dc.description.affiliation | Dpto. de Matemática e Computação Universidade Estadual Paulista (UNESP) Faculdade de Ciências e Tecnologia | |
| dc.description.affiliation | Dpto. de Ecuaciones Diferenciales y Análisis Numérico and IMUS Facultad de Matemáticas Universidad de Sevilla | |
| dc.description.affiliationUnesp | Dpto. de Matemática e Computação Universidade Estadual Paulista (UNESP) Faculdade de Ciências e Tecnologia | |
| dc.format.extent | 82-98 | |
| dc.identifier | http://dx.doi.org/10.3934/dcdsb.2024080 | |
| dc.identifier.citation | Discrete and Continuous Dynamical Systems - Series B, v. 30, n. 1, p. 82-98, 2025. | |
| dc.identifier.doi | 10.3934/dcdsb.2024080 | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.scopus | 2-s2.0-85202894570 | |
| dc.identifier.uri | https://hdl.handle.net/11449/300080 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series B | |
| dc.source | Scopus | |
| dc.subject | coexistence states | |
| dc.subject | global bifurcation | |
| dc.subject | local bifurcation | |
| dc.subject | Nonlocal coefficient diffusion | |
| dc.subject | uniqueness of positive solution | |
| dc.title | NONLOCAL DIFFUSION ELLIPTIC SYSTEM MODELLING THE BEHAVIOUR OF A BACTERIA AND A LIVING NUTRIENT | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| relation.isOrgUnitOfPublication | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| relation.isOrgUnitOfPublication.latestForDiscovery | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudente | pt |