Discrete age-structured SEIT model with application to tuberculosis transmission in China

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dc.contributor.authorHui Cao
dc.contributor.authorYicang Zhou
dc.date.accessioned2013-09-13T16:07:15Z
dc.date.available2013-09-13T16:07:15Z
dc.date.copyright2011
dc.date.issued2012
dc.description.abstractAge plays an important role in the transmission of some infectious diseases. A discrete SEIT model with age-structure is formulated and studied. The basic reproduction number, R0R0, of the model is defined. It is proved that R0=1R0=1 is a threshold to determine the disease extinction or persistence. The disease-free equilibrium is globally stable (unstable) if R0<1R0<1 (if R0>1R0>1). There exists an endemic equilibrium, and the system is uniformly persistent if R0>1R0>1. The numerical simulation demonstrates that the endemic equilibrium may be globally asymptotically stable. The model is applied to describe tuberculosis (TB) transmission in China. The total number of the population, the incidence rate, the prevalent rate and its age structure match the statistical data well.en
dc.formatTexten
dc.format.extent1 digital file (p. 385-395)en
dc.format.mimetypeapplication/pdf
dc.identifier.citationHui Cao, & Yicang Zhou (2012). The discrete age-structured SEIT model with application to tuberculosis transmission in China. Mathematical and Computer Modelling, 55, 385-395.doi:10.1016/j.mcm.2011.08.017en
dc.identifier.issn0895-7177
dc.identifier.urihttp://hdl.handle.net/10625/51662
dc.language.isoen
dc.publisherElsevieren
dc.subjectDISCRETE EPIDEMIC MODELen
dc.subjectAGE STRUCTUREen
dc.subjectREPRODUCTION NUMBERen
dc.subjectPERSISTENCEen
dc.subjectTUBERCULOSISen
dc.subjectBASIC REPRODUCTION NUMBERen
dc.subjectDISEASE MODELSen
dc.subjectENDEMICen
dc.subjectMATHEMATICAL MODELSen
dc.subjectEPIDEMIOLOGYen
dc.subjectTUBERCULOSISen
dc.titleDiscrete age-structured SEIT model with application to tuberculosis transmission in Chinaen
dc.typeJournal Article (peer-reviewed)en
idrc.copyright.holderElsevier Ltd.
idrc.dspace.accessIDRC Onlyen
idrc.noaccessDue to copyright restrictions the full text of this research output is not available in the IDRC Digital Library or by request from the IDRC Library. / Compte tenu des restrictions relatives au droit d'auteur, le texte intégral de cet extrant de recherche n'est pas accessible dans la Bibliothèque numérique du CRDI, et il n'est pas possible d'en faire la demande à la Bibliothéque du CRDI.en
idrc.project.componentnumber104519010
idrc.project.componentnumber104519018
idrc.project.number104519
idrc.project.titleInternational Research Chairs Initiative (IRCI)en
idrc.recordsserver.bcsnumberIC01-3412-172
idrc.rims.adhocgroupIDRC SUPPORTEDen

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2010-2019 / Années 2010-2019
Modelling and controlling infectious diseases / Se servir de la modélisation pour lutter contre les maladies infectieuses