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The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values.
By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied.
Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion.
Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here.
American Psychological Association (APA)
He, Zhi-Long& Nie, Lin-Fei. 2015. The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060542
Modern Language Association (MLA)
He, Zhi-Long& Nie, Lin-Fei. The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060542
American Medical Association (AMA)
He, Zhi-Long& Nie, Lin-Fei. The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060542