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Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system

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dc.contributor.authorNegreanu, Mihaela
dc.contributor.authorVargas Ureña, Antonio Manuel
dc.date.accessioned2025-01-10T10:03:09Z
dc.date.available2025-01-10T10:03:09Z
dc.date.issued2021-04
dc.descriptionThis is a Submitted Manuscript of an article published by Elsevier in "Communications in Nonlinear Science and Numerical Simulation, 95, 105592", available at: https://doi.org/10.1016/j.cnsns.2020.105592
dc.descriptionEste es el manuscrito enviado del artículo publicado por Elsevier en "Communications in Nonlinear Science and Numerical Simulation, 95, 105592", disponible en línea: https://doi.org/10.1016/j.cnsns.2020.105592
dc.description.abstractIn this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical. The presence of the periodic terms has a strong impact on the behavior of the solutions. Some conditions on the system’s data are given that guarantee the global existence of solutions that converge to periodical solutions of an associated ODE’s system. Further, we analyze the discretized version of the model using a Generalized Finite Difference Method (GFDM) and we confirm that the properties of the continuous model are also preserved for the resulting discrete model. To this end, we prove the conditional convergence of the numerical model and study some practical examples.en
dc.description.versionversión original
dc.identifier.citationNegreanu, M. & Vargas A.M. (2021). Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system. Communications in Nonlinear Science and Numerical Simulation, 95. https://doi.org/10.1016/J.CNSNS.2020.105592
dc.identifier.doihttps://doi.org/10.1016/j.cnsns.2020.105592
dc.identifier.issn1007-5704 | eISSN 1878-7274
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25173
dc.journal.titleCommunications in Nonlinear Science and Numerical Simulation
dc.journal.volume95
dc.language.isoen
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsChemotaxisen
dc.subject.keywordsAsymptotic stability of solutionsen
dc.subject.keywordsLotka Volterra systemen
dc.subject.keywordsPeriodic solutionsen
dc.subject.keywordsGeneralized Finite Di erenceen
dc.subject.keywordsMethoden
dc.subject.keywordsConditional Convergenceen
dc.titleContinuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs systemen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication6d700201-394b-4442-b0f1-dbe2a6703081
relation.isAuthorOfPublication.latestForDiscovery6d700201-394b-4442-b0f1-dbe2a6703081
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