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2014 SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects
Tongqian Zhang, Xinzhu Meng, Tonghua Zhang
Abstr. Appl. Anal. 2014(SI18): 1-15 (2014). DOI: 10.1155/2014/542154


We first propose a new epidemic disease model governed by system of impulsive delay differential equations. Then, based on theories for impulsive delay differential equations, we skillfully solve the difficulty in analyzing the global dynamical behavior of the model with pulse vaccination and impulsive population input effects at two different periodic moments. We prove the existence and global attractivity of the “infection-free” periodic solution and also the permanence of the model. We then carry out numerical simulations to illustrate our theoretical results, showing us that time delay, pulse vaccination, and pulse population input can exert a significant influence on the dynamics of the system which confirms the availability of pulse vaccination strategy for the practical epidemic prevention. Moreover, it is worth pointing out that we obtained an epidemic control strategy for controlling the number of population input.


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Tongqian Zhang. Xinzhu Meng. Tonghua Zhang. "SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects." Abstr. Appl. Anal. 2014 (SI18) 1 - 15, 2014.


Published: 2014
First available in Project Euclid: 3 October 2014

zbMATH: 07022589
MathSciNet: MR3216058
Digital Object Identifier: 10.1155/2014/542154

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI18 • 2014
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