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dc.contributor.author | Kribs, Christopher | |
dc.contributor.author | Velasco-Hernandez, Jorge X. | |
dc.date.accessioned | 2016-05-19T19:22:19Z | |
dc.date.available | 2016-05-19T19:22:19Z | |
dc.date.issued | 2000 | |
dc.identifier.citation | Published in Mathematical Biosciences164(2):183-201, April 2000 | en_US |
dc.identifier.uri | http://hdl.handle.net/10106/25670 | |
dc.description | Author's final draft after peer review, also known as a post print. | en_US |
dc.description.abstract | A simple two-dimensional SIS model with vaccination exhibits a backward bifurcation for some parameter values. A two-population version of the model leads to the consideration of vaccination policies in paired border towns. The results of our mathematical analysis indicate that a vaccination campaign φ meant to reduce a disease's reproduction number R(φ) below one may fail to control the disease. If the aim is to prevent an epidemic outbreak, a large initial number of infective persons can cause a high endemicity level to arise rather suddenly even if the vaccine-reduced reproduction number is below threshold. If the aim is to eradicate an already established disease, bringing the vaccine-reduced reproduction number below one may not be sufficient to do so. The complete bifurcation analysis of the model in terms of the vaccine-reduced reproduction number is given, and some extensions are considered. | en_US |
dc.description.sponsorship | JXVH acknowledges support from a CONACYT grant 1998 and UAM-I internal grant. CMKZ research was partially supported by an REP grant from the University of Texas at Arlington during the summer of 1998. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | SIS model | en_US |
dc.subject | Vaccination | en_US |
dc.subject | Backward bifurcation | en_US |
dc.subject | Multistability | en_US |
dc.title | A simple vaccination model with multiple endemic states | en_US |
dc.type | Article | en_US |
dc.publisher.department | Department of Mathematics, University of Texas at Arlington | |
dc.identifier.externalLinkDescription | The original publication is available at Article DOI | |
dc.identifier.doi | doi:10.1016/S0025-5564(00)00003-1 | |
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