SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects
Joint Authors
Zhang, Tonghua
Meng, Xinzhu
Zhang, Tongqian
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Tongqian& Meng, Xinzhu& Zhang, Tonghua. 2014. SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014200
Modern Language Association (MLA)
Zhang, Tongqian…[et al.]. SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1014200
American Medical Association (AMA)
Zhang, Tongqian& Meng, Xinzhu& Zhang, Tonghua. SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014200
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014200