A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China
Joint Authors
Lin, Wang
Wang, Weiming
Zhu, Yeting
Xu, Boyang
Zhou, Zumu
Lian, Xinze
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We establish an SEIQRS epidemic model with periodic transmission rate to investigate the spread of seasonal HFMD in Wenzhou.
The value of this study lies in two aspects.
Mathematically, we show that the global dynamics of the HFMD model can be governed by its reproduction number R0; if R0<1, the disease-free equilibrium of the model is globally asymptotically stable, which means that the disease will vanish after some period of time; while if R0>1, the model has at least one positive periodic solution and is uniformly persistent, which indicates that HFMD becomes an endemic disease.
Epidemiologically, based on the statistical data of HFMD in Wenzhou, we find that the HFMD becomes an endemic disease and will break out in Wenzhou.
One of the most interesting findings is that, for controlling the HFMD spread, we must increase the quarantined rate or decrease the treatment cycle.
American Psychological Association (APA)
Zhu, Yeting& Xu, Boyang& Lian, Xinze& Lin, Wang& Zhou, Zumu& Wang, Weiming. 2014. A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033619
Modern Language Association (MLA)
Zhu, Yeting…[et al.]. A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033619
American Medical Association (AMA)
Zhu, Yeting& Xu, Boyang& Lian, Xinze& Lin, Wang& Zhou, Zumu& Wang, Weiming. A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033619