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ISRN Biomathematics
Volume 2012 (2012), Article ID 581274, 10 pages
http://dx.doi.org/10.5402/2012/581274
Research Article

Dynamics of an Infectious Disease Where Media Coverage Influences Transmission

Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada N1G 2W1

Received 24 November 2011; Accepted 11 December 2011

Academic Editors: C. B. Beggs, M. Jose, and Y. Xiao

Copyright © 2012 Jean M. Tchuenche and Chris T. Bauch. 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

There is significant current interest in the application of media/psychosocial effects to problems in epidemiology. News reporting has the potential to reach and to modify the knowledge, attitudes, and behavior of a large proportion of the community. A susceptible-infected-hospitalized-recovered model with vital dynamics, where media coverage of disease incidence and disease prevalence can influence people to reduce their contact rates is formulated. The media function is incorporated into the model using an exponentially decreasing function. Qualitative analysis of the model reveals that the disease-free equilibrium is locally asymptotically stable when a certain threshold is less than unity. Numerical results show the potential short-term beneficial effect of media coverage.