A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

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datacite.alternateIdentifier.citationNonlinear Analysis-Real World Applications, 12 (5), 2903-2888, 2011
datacite.alternateIdentifier.doi10.1016/j.nonrwa.2011.04.014
datacite.alternateIdentifier.issn1468-1218
datacite.creatorBerres, Stefan
datacite.creatorRuiz-Baier, Ricardo
datacite.date2011
datacite.rightsRegistro bibliográfico
datacite.subjectEpidemic model
datacite.subjectReaction-diffusion equation
datacite.subjectCross-diffusion
datacite.subjectFully adaptive multiresolution
datacite.titleA fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
dc.description.abstractAn epidemic model is formulated by a reaction-diffusion system where the spatial pattern formation is driven by cross-diffusion. The reaction terms describe the local dynamics of susceptible and infected species, whereas the diffusion terms account for the spatial distribution dynamics. For both self-diffusion and cross-diffusion, nonlinear constitutive assumptions are suggested. To simulate the pattern formation two finite volume formulations are proposed, which employ a conservative and a non-conservative discretization, respectively. An efficient simulation is obtained by a fully adaptive multiresolution strategy. Numerical examples illustrate the impact of the cross-diffusion on the pattern formation. (c) 2011 Elsevier Ltd. All rights reserved.
dc.description.ia_keyworddiffusion, cross, pattern, formation, epidemic, model, reaction
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/2997
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.sourceNonlinear Analysis-Real World Applications
dc.subject.ia_oecd1nCiencias Naturales
dc.subject.ia_oecd2nCiencias Biológicas
dc.subject.ia_oecd3nEcología
dc.type.driverinfo:eu-repo/semantics/article
dc.type.driverhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaireinfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
oaire.citationEdition2011
oaire.citationEndPage2903
oaire.citationIssue5
oaire.citationStartPage2888
oaire.citationTitleNonlinear Analysis-Real World Applications
oaire.citationVolume12
oaire.fundingReferenceCONICYT ANID FONDECYT 11080253 (Regular)
oaire.fundingReferenceERC ERC-2008-AdG 227058
oaire.fundingReferenceCONICYT Beca Chile (Postdoctorado)
oaire.licenseConditionCopyright © Elsevier Ltd, 2011
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionzbMATH
uct.indizacionMathematical Reviews
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