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Travelling wave solutions for some models in phytopathology

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorBURIE, Jean Baptiste
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorDUCROT, Arnaud
dc.date.accessioned2024-04-04T02:50:00Z
dc.date.available2024-04-04T02:50:00Z
dc.date.issued2009
dc.identifier.issn1468-1218
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191871
dc.description.abstractEnIn this work several models of fungal disease propagation are considered. They consist of reaction-diffusion systems coupled with ordinary differential equations with or without time delay as well as integro-differential system of equations. We derive some conditions that ensure the existence and uniqueness of travelling wave solutions for these various models. Our proof is based on a suitable re-formulation in the form of a nonlinear integral equation with measure kernel convolutions.
dc.language.isoen
dc.publisherElsevier
dc.title.enTravelling wave solutions for some models in phytopathology
dc.typeArticle de revue
dc.identifier.doi10.1016/j.nonrwa.2008.04.013
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalNonlinear Analysis: Real World Applications
bordeaux.page2307-2325
bordeaux.volume10
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00293372
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00293372v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Analysis:%20Real%20World%20Applications&rft.date=2009&rft.volume=10&rft.spage=2307-2325&rft.epage=2307-2325&rft.eissn=1468-1218&rft.issn=1468-1218&rft.au=BURIE,%20Jean%20Baptiste&DUCROT,%20Arnaud&rft.genre=article


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