Abstract and Applied Analysis

Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay

Lixia Zuo and Maoxing Liu

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 940841, 8 pages.

Dates
First available in Project Euclid: 3 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412360629

Digital Object Identifier
doi:10.1155/2014/940841

Mathematical Reviews number (MathSciNet)
MR3240573

Zentralblatt MATH identifier
07023357

Citation

Zuo, Lixia; Liu, Maoxing. Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 940841, 8 pages. doi:10.1155/2014/940841. https://projecteuclid.org/euclid.aaa/1412360629


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