Models for the spread and persistence of Hantavirus infection in rodents with direct and indirect transmission
| hal.structure.identifier | Department of Mathematics and Statistics [Texas Tech] | |
| dc.contributor.author | ALLEN, Linda | |
| 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 | |
| hal.structure.identifier | Department of Mathematics [Shreveport] | |
| dc.contributor.author | WESLEY, Curtis | |
| dc.date.accessioned | 2024-04-04T02:28:05Z | |
| dc.date.available | 2024-04-04T02:28:05Z | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 1547-1063 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190068 | |
| dc.description.abstractEn | Hantavirus, 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.iso | en | |
| dc.publisher | AIMS Press | |
| dc.subject.en | basic reproduction number | |
| dc.subject.en | hantavirus | |
| dc.subject.en | nonautonomous | |
| dc.subject.en | periodic solutions | |
| dc.title.en | Models for the spread and persistence of Hantavirus infection in rodents with direct and indirect transmission | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/mbe.2010.7.199 | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Santé publique et épidémiologie | |
| bordeaux.journal | Mathematical Biosciences and Engineering | |
| bordeaux.page | 199-215 | |
| bordeaux.volume | 7 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00541296 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00541296v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Biosciences%20and%20Engineering&rft.date=2010&rft.volume=7&rft.issue=1&rft.spage=199-215&rft.epage=199-215&rft.eissn=1547-1063&rft.issn=1547-1063&rft.au=ALLEN,%20Linda&LANGLAIS,%20Michel&WESLEY,%20Curtis&rft.genre=article |
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