## Abstract and Applied Analysis

### An SIRS Model for Assessing Impact of Media Coverage

#### Abstract

An SIRS model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction number ${\scr R}_{0}<1$, the disease-free equilibrium is locally asymptotically stable. There is a unique endemic equilibrium that is locally asymptotically stable if ${\scr R}_{0}>1$. 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 424610, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412607563

Digital Object Identifier
doi:10.1155/2014/424610

Mathematical Reviews number (MathSciNet)
MR3176744

#### Citation

Cui, Jing’an; Wu, Zhanmin. An SIRS Model for Assessing Impact of Media Coverage. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 424610, 6 pages. doi:10.1155/2014/424610. https://projecteuclid.org/euclid.aaa/1412607563

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