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hal.structure.identifierDepartment of Mathematics and Statistics [Texas Tech]
dc.contributor.authorALLEN, Linda
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.authorLANGLAIS, Michel
hal.structure.identifierDepartment of Mathematics [Shreveport]
dc.contributor.authorWESLEY, Curtis
dc.date.accessioned2024-04-04T02:28:05Z
dc.date.available2024-04-04T02:28:05Z
dc.date.issued2010
dc.identifier.issn1547-1063
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190068
dc.description.abstractEnHantavirus, a zoonotic disease carried by wild rodents, is spread among rodents via direct contact and indirectly via infected rodent excreta in the soil. Spillover to humans is primarily via the indirect route through inhala- tion of aerosolized viral particles. Rodent-hantavirus models that include direct and indirect transmission and periodically varying demographic and epidemio- logical parameters are studied in this investigation. Two models are analyzed, a nonautonomous system of differential equations with time-periodic coeffi- cients and an autonomous system, where the coefficients are taken to be the time-average. In the nonautonomous system, births, deaths, transmission rates and viral decay rates are assumed to be periodic. For both models, the basic reproduction numbers are calculated. The models are applied to two rodent populations, reservoirs for a New World and for an Old World hantavirus. The numerical examples show that periodically varying demographic and epidemi- ological parameters may substantially increase the basic reproduction number. Also, large variations in the viral decay rate in the environment coupled with an outbreak in rodent populations may lead to spillover infection in humans.
dc.language.isoen
dc.publisherAIMS Press
dc.subject.enbasic reproduction number
dc.subject.enhantavirus
dc.subject.ennonautonomous
dc.subject.enperiodic solutions
dc.title.enModels for the spread and persistence of Hantavirus infection in rodents with direct and indirect transmission
dc.typeArticle de revue
dc.identifier.doi10.3934/mbe.2010.7.199
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
dc.subject.halSciences du Vivant [q-bio]/Santé publique et épidémiologie
bordeaux.journalMathematical Biosciences and Engineering
bordeaux.page199-215
bordeaux.volume7
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00541296
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00541296v1
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