Modeling the circulation of a disease between two host populations on non coincident spatial domains
dc.contributor.author | FITZGIBBON, W.E. | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
dc.contributor.author | LANGLAIS, Michel | |
dc.contributor.author | MARPEAU, F. | |
dc.contributor.author | MORGAN, J.J. | |
dc.date.accessioned | 2024-04-04T03:03:18Z | |
dc.date.available | 2024-04-04T03:03:18Z | |
dc.date.issued | 2005 | |
dc.identifier.issn | 1387-3547 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193058 | |
dc.description.abstractEn | We derive a reaction–diffusion system modeling the spatial propagation of a disease with kinetics occurring on distinct spatial domains. This corresponds to the actual invasion of a disease from a species living in a given spatial domain toward a second species living in a different spatial domain. We study the global existence of solutions and discuss the long time behavior of solutions. Then we consider a special case, based on a model of brain worm infection from white-tailed deer to moose populations, for which we discuss the invasion success/failure process and disprove a conjecture stated in an earlier work. | |
dc.language.iso | en | |
dc.publisher | Springer Verlag | |
dc.subject.en | distinct spatial domains | |
dc.subject.en | large-time behavior | |
dc.subject.en | reaction–diffusion equations | |
dc.title.en | Modeling the circulation of a disease between two host populations on non coincident spatial domains | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s10530-005-5210-1 | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
bordeaux.journal | Biological Invasions | |
bordeaux.page | 863-875 | |
bordeaux.volume | 7 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00195425 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00195425v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Biological%20Invasions&rft.date=2005&rft.volume=7&rft.spage=863-875&rft.epage=863-875&rft.eissn=1387-3547&rft.issn=1387-3547&rft.au=FITZGIBBON,%20W.E.&LANGLAIS,%20Michel&MARPEAU,%20F.&MORGAN,%20J.J.&rft.genre=article |
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