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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 424610, 6 pages
http://dx.doi.org/10.1155/2014/424610
Research Article

An SIRS Model for Assessing Impact of Media Coverage

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Received 15 November 2013; Accepted 9 January 2014; Published 25 February 2014

Academic Editor: Weiming Wang

Copyright © 2014 Jing’an Cui and Zhanmin Wu. 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

An SIRS model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction number , the disease-free equilibrium is locally asymptotically stable. There is a unique endemic equilibrium that is locally asymptotically stable if . Under some conditions, the endemic equilibrium is globally asymptotically stable. At last, we conduct numerical simulations to illustrate some results which shed light on the media report that may be the very effective method for infectious disease control.