Global analysis for a general epidemiological model with vaccination and varying population
dc.contributor.author | Yang, Wei | |
dc.contributor.author | Sun, Chengjun | |
dc.contributor.author | Arino, Julien | |
dc.date.accessioned | 2012-05-18T17:31:04Z | |
dc.date.available | 2012-05-18T17:31:04Z | |
dc.date.copyright | 2010 | |
dc.date.issued | 2010-07 | |
dc.description.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 | en |
dc.format | Text | en |
dc.format.extent | 1 digital file (p. 208-223 : ill.) | en |
dc.identifier.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 | en |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10625/49025 | |
dc.language.iso | en | |
dc.publisher | Elsevier, Netherlands | en |
dc.relation.journal | Journal of Mathematical Analysis and Application | |
dc.subject | SIRV MODEL | en |
dc.subject | DISEASE FREE | en |
dc.subject | ENDEMIC | en |
dc.subject | GLOBAL DYNAMICS | en |
dc.subject | VACCINATION RATE | en |
dc.subject | SIR MODEL | en |
dc.subject | DISEASE CONTROL | en |
dc.subject | EPIDEMIOLOGY | en |
dc.title | Global analysis for a general epidemiological model with vaccination and varying population | en |
dc.type | Abstract | en |
idrc.copyright.holder | Elsevier | |
idrc.dspace.access | IDRC Only | en |
idrc.noaccess | 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 Bibliothéque du CRDI. | en |
idrc.project.componentnumber | 104519010 | |
idrc.project.number | 104519 | |
idrc.project.title | International Research Chairs Initiative (IRCI) | en |
idrc.rims.adhocgroup | IDRC SUPPORTED | en |