Please use this identifier to cite or link to this item: http://hdl.handle.net/10625/49025
Title: Global analysis for a general epidemiological model with vaccination and varying population
Authors: Yang, Wei
Sun, Chengjun
Arino, Julien
Keywords: SIRV MODEL
DISEASE-FREE
ENDEMIC
GLOBAL DYNAMICS
VACCINATION RATE
SIR MODEL
DISEASE CONTROL
EPIDEMIOLOGY
Date: 16-Jul-2010
Publisher: Elsevier, Netherlands
Citation: Yang, W., Sun, C., & Arino, J. (2010). Global analysis for a general epidemiological model with vaccination and varying population. Journal of Mathematical Analysis and Application, 372: 208-223. doi:10.1016/j.jmaa.2010.07.017
Abstract: An SIR model with vaccination and varying population is formulated. The global dynamics of this model and its corresponding proportionate system are investigated. The correlations between the two systems in terms of disease eradication and persistence are presented. Three critical vaccination rates φ1c , φ2c and φ3c are obtained. It is found that when φ >φ1c the disease can be eradicated by increasing the vaccination rate until it exceeds φ3c. When φ < φ1c , the disease can be controlled to an endemic level by taking the appropriate vaccination rate φ2c
ISSN: 0022-247X
Project Number: 104519
Project Title: International Research Chairs Initiative (IRCI)
Access: IDRC Only
Access Restriction: Due to copyright restrictions the full text of this research output is not available in the IDRC Digital Library or by request from the IDRC Library. / Compte tenu des restrictions relatives au droit d`auteur, le texte intégral de cet extrant de recherche n`est pas accessible dans la Bibliothèque numérique du CRDI, et il n`est pas possible d`en faire la demande à la Bibliothèque du CRDI.
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