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Seasonality Impact on the Transmission Dynamics of Tuberculosis
Joint Authors
Yang, Yali
Guo, Chenping
Zhang, Tianhua
Liu, Weiping
Liu, Luju
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The statistical data of monthly pulmonary tuberculosis (TB) incidence cases from January 2004 to December 2012 show the seasonality fluctuations in Shaanxi of China.
A seasonality TB epidemic model with periodic varying contact rate, reactivation rate, and disease-induced death rate is proposed to explore the impact of seasonality on the transmission dynamics of TB.
Simulations show that the basic reproduction number of time-averaged autonomous systems may underestimate or overestimate infection risks in some cases, which may be up to the value of period.
The basic reproduction number of the seasonality model is appropriately given, which determines the extinction and uniform persistence of TB disease.
If it is less than one, then the disease-free equilibrium is globally asymptotically stable; if it is greater than one, the system at least has a positive periodic solution and the disease will persist.
Moreover, numerical simulations demonstrate these theorem results.
American Psychological Association (APA)
Yang, Yali& Guo, Chenping& Liu, Luju& Zhang, Tianhua& Liu, Weiping. 2016. Seasonality Impact on the Transmission Dynamics of Tuberculosis. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1100216
Modern Language Association (MLA)
Yang, Yali…[et al.]. Seasonality Impact on the Transmission Dynamics of Tuberculosis. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1100216
American Medical Association (AMA)
Yang, Yali& Guo, Chenping& Liu, Luju& Zhang, Tianhua& Liu, Weiping. Seasonality Impact on the Transmission Dynamics of Tuberculosis. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1100216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100216