An SIRS Model for Assessing Impact of Media Coverage. (25th February 2014)

• Record Type: Journal Article
• Authors: Cui, Jing'an; Wu, Zhanmin
• Other Names: Wang Weiming Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/424610
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : An SIRS model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction numberℛ 0 < 1, the disease-free equilibrium is locally asymptotically stable. There is a unique endemic equilibrium that is locally asymptotically stable ifℛ 0 > 1 . 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.