Open Access
2014 A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China
Yeting Zhu, Boyang Xu, Xinze Lian, Wang Lin, Zumu Zhou, Weiming Wang
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/234509


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.


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Yeting Zhu. Boyang Xu. Xinze Lian. Wang Lin. Zumu Zhou. Weiming Wang. "A Hand-Foot-and-Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021962
MathSciNet: MR3191026
Digital Object Identifier: 10.1155/2014/234509

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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