The impact of awareness programs with recruitment and delay on the spread of an epidemic
type: Item
instance of: scholarly article
title: The impact of awareness programs with recruitment and delay on the spread of an epidemic
zbMATH Open document ID: 1394.92135
DOI: 10.1155/2015/235935
author: Lixia Zuo
author: Maoxing Liu
author: Jinqiang Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A compartment epidemic model with delay is given to discuss the impact of awareness programs on the spread and control of infectious diseases in a given region. It is assumed that there is a constant recruitment rate in the cumulative density of awareness programs, and further it is assumed that awareness programs can influence the susceptible to a limited extent. The system exhibits two equilibria: the disease-free equilibrium is stable if the basic reproduction number is less than unity for any delay and the unique endemic equilibrium exhibits Hopf-bifurcation under certain conditions. Numerical simulations prove the results of analysis and the significance of awareness programs in preventing and controlling the diseases, by investigating the relationship between the proportion of the infective and the dissemination rate and the implementation rate, respectively.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6925819
zbMATH Keywords: awareness programs
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: disease-free equilibrium
Wikidata QID: Q59117675
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/235935
OpenAlex ID: W2076957467
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description: scientific article; zbMATH DE number 6925819