Open Access
2014 Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay
Lixia Zuo, Maoxing Liu
Abstr. Appl. Anal. 2014(SI18): 1-8 (2014). DOI: 10.1155/2014/940841


An epidemic model with time delay has been proposed and analyzed. In this model the effect of awareness programs driven by media on the prevalence of an infectious disease is studied. It is assumed that pathogens are transmitted via direct contact between the susceptible and the infective populations and further assumed that the growth rate of cumulative density of awareness programs increases at a rate proportional to the infective population. The model is analyzed by using stability theory of differential equations and numerical simulations. Both equilibria have been proved to be globally asymptotically stable. The results we obtained and numerical simulations suggest the increasing of the dissemination rate and implementation rate can reduce the proportion of the infective population.


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Lixia Zuo. Maoxing Liu. "Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay." Abstr. Appl. Anal. 2014 (SI18) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 3 October 2014

zbMATH: 07023357
MathSciNet: MR3240573
Digital Object Identifier: 10.1155/2014/940841

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI18 • 2014
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