Modelling the Impact of Media in Controlling the Diseases with a Piecewise Transmission Rate
Joint Authors
Zuo, Lixia
Liu, Maoxing
Chang, Yuting
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
An epidemic model with media is proposed to describe the spread of infectious diseases in a given region.
A piecewise continuous transmission rate is introduced to describe that the media has its effect when the number of the infected exceeds a certain critical level.
Furthermore, it is assumed that the impact of the media on the contact transmission is described by an exponential function.
Stability analysis of the model shows that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number is less than unity.
On the other hand, when the basic reproduction number is greater than unity, a unique endemic equilibrium exists, which is also globally asymptotically stable.
Our analysis implies that media coverage plays an important role in controlling the spread of the disease.
American Psychological Association (APA)
Liu, Maoxing& Chang, Yuting& Zuo, Lixia. 2016. Modelling the Impact of Media in Controlling the Diseases with a Piecewise Transmission Rate. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103404
Modern Language Association (MLA)
Liu, Maoxing…[et al.]. Modelling the Impact of Media in Controlling the Diseases with a Piecewise Transmission Rate. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1103404
American Medical Association (AMA)
Liu, Maoxing& Chang, Yuting& Zuo, Lixia. Modelling the Impact of Media in Controlling the Diseases with a Piecewise Transmission Rate. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103404
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103404