Literature DB >> 17658921

A final size relation for epidemic models.

Julien Arino1, Fred Brauer, P van den Driessche, James Watmough, Jianhong Wu.   

Abstract

A final size relation is derived for a general class of epidemic mod els, including models with multiple susceptible classes. The derivation depends on an explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.

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Year:  2007        PMID： 17658921     DOI： 10.3934/mbe.2007.4.159

Source DB:  PubMed          Journal:  Math Biosci Eng        ISSN： 1547-1063            Impact factor:   2.080


  18 in total

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2.  A note on the derivation of epidemic final sizes.

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6.  Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus.

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7.  Antiviral resistance during pandemic influenza: implications for stockpiling and drug use.

Authors:  Julien Arino; Christopher S Bowman; Seyed M Moghadas
Journal:  BMC Infect Dis       Date:  2009-01-22       Impact factor: 3.090

8.  The impact of model building on the transmission dynamics under vaccination: observable (symptom-based) versus unobservable (contagiousness-dependent) approaches.

Authors:  Keisuke Ejima; Kazuyuki Aihara; Hiroshi Nishiura
Journal:  PLoS One       Date:  2013-04-12       Impact factor: 3.240

9.  Modeling optimal treatment strategies in a heterogeneous mixing model.

Authors:  Seoyun Choe; Sunmi Lee
Journal:  Theor Biol Med Model       Date:  2015-11-25       Impact factor: 2.432

10.  Exploring the contribution of exposure heterogeneity to the cessation of the 2014 Ebola epidemic.

Authors:  Florian Uekermann; Lone Simonsen; Kim Sneppen
Journal:  PLoS One       Date:  2019-02-01       Impact factor: 3.240
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