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Discrete Dynamics in Nature and Society - Volume 2014 2014, Article ID 426456, 7 pages -

Research Article

Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Received 24 September 2013; Accepted 17 February 2014; Published 25 March 2014

Academic Editor: Ryusuke Kon

Copyright © 2014 Yongfeng Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A delay SEIRS model with pulse vaccination incorporating ageneral media coverage function and saturation recovery is investigated. Usingthe discrete dynamical system determined by the stroboscopic map, we obtain theexistence of the disease-free periodic solution and its exact expression. Further,using the comparison theorem, we establish the sufficient conditions of globalattractivity of the disease-free periodic solution. Moreover, we show that thedisease is uniformly persistent if vaccination rate is less than . Finally, wediscuss the effect of media coverage on controlling disease.





Autor: Yongfeng Li, Dongliang Xie, and Jing-an Cui

Fuente: https://www.hindawi.com/



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