Reproduction numbers of infectious disease models

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dc.contributor.authorvan den Driessche, Pauline
dc.date.accessioned2018-02-14T00:15:30Z
dc.date.available2018-02-14T00:15:30Z
dc.date.copyright2017en_US
dc.date.issued2017
dc.description.abstractThis primer article focuses on the basic reproduction number, ℛ0, for infectious diseases, and other reproduction numbers related to ℛ0 that are useful in guiding control strategies. Beginning with a simple population model, the concept is developed for a threshold value of ℛ0 determining whether or not the disease dies out. The next generation matrix method of calculating ℛ0 in a compartmental model is described and illustrated. To address control strategies, type and target reproduction numbers are defined, as well as sensitivity and elasticity indices. These theoretical ideas are then applied to models that are formulated for West Nile virus in birds (a vector-borne disease), cholera in humans (a disease with two transmission pathways), anthrax in animals (a disease that can be spread by dead carcasses and spores), and Zika in humans (spread by mosquitoes and sexual contacts). Some parameter values from literature data are used to illustrate the results. Finally, references for other ways to calculate ℛ0 are given. These are useful for more complicated models that, for example, take account of variations in environmental fluctuation or stochasticity.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe research of PvdD is partially funded by an NSERC Discovery grant.en_US
dc.identifier.citationVan den Driessche, P. (2017). Reproduction numbers of infectious disease models. Infectious Disease Modelling, 2(August), 288-303. http://dx.doi.org/10.1016/j.idm.2017.06.002en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.idm.2017.06.002
dc.identifier.urihttp://hdl.handle.net/1828/9056
dc.language.isoenen_US
dc.publisherInfectious Disease Modellingen_US
dc.subjectBasic reproduction number
dc.subjectDisease control
dc.subjectWest Nile virus
dc.subjectCholera
dc.subjectAnthrax
dc.subjectZika virus
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleReproduction numbers of infectious disease modelsen_US
dc.typeArticleen_US

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