Effect of awareness programs on the epidemic outbreaks with time delay
type: Item
instance of: scholarly article
title: Effect of awareness programs on the epidemic outbreaks with time delay
zbMATH Open document ID: 1406.92651
DOI: 10.1155/2014/940841
author: Lixia Zuo
author: Maoxing Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7023357
zbMATH Keywords: epidemic outbreaks
zbMATH Keywords: time delay
zbMATH Keywords: awareness programs
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/940841
OpenAlex ID: W2136325354
Wikidata QID: Q59042991
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description: scientific article; zbMATH DE number 7023357