Please use this identifier to cite or link to this item: http://hdl.handle.net/10625/49795
Title: Global results for an SIRS model with vaccination and isolation
Authors: Sun, Chengjun
Yang, Wei
Keywords: VACCINATION
ISOLATION
BIFURCATION
UNIFORM PERSISTENCE
GLOBAL STABILITY
EPIDEMIOLOGY
SYSTEMIC INFLAMMATORY RESPONSE SYNDROME
Date: 2010
Citation: Sun, C., & Yang, W. (2010). Global results for an SIRS model with vaccination and isolation. Nonlinear Analysis: Real World Applications, 11 (5): 4223-4237. doi: 10.1016/j.nonrwa.2010.05.009
Abstract: Motivation is provided for the development of an SIRS epidemiological model with both vaccination and isolation control strategies. The model is then formulated and analyzed. In particular, the conditions for the existence of multiple endemic equilibria are given. The backward bifurcation, forward bifurcation and saddle–node bifurcation are explored. When the control reproduction numbers are below or over unity, local and global stabilities of the disease-free equilibrium and endemic equilibria are proved under certain parameter conditions. The critical vaccination rate and isolation rate are calculated, which determine the disease’s endemicity.
ISSN: 1468-1218
URI: http://hdl.handle.net/10625/49795
Project Number: 104519
Project Title: International Research Chairs Initiative (IRCI)
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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