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dc.contributor.authorGao, Shujing
dc.contributor.authorTeng, Zhi-Dong
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorTorres Iglesias, Ángela Juana
dc.date.accessioned2020-06-06T10:45:28Z
dc.date.available2020-06-06T10:45:28Z
dc.date.issued2007
dc.identifier.citationGao, S., Teng, Z., Nieto, J. J., & Torres, A. (2007). Analysis of an SIR epidemic model with pulse vaccination and distributed time delay. BioMed Research International, 2007. Article ID 64870, 10 pages. doi:10.1155/2007/64870
dc.identifier.issn1110-7243
dc.identifier.urihttp://hdl.handle.net/10347/22850
dc.description.abstractPulse vaccination, the repeated application of vaccine over a defined age range, is gaining prominence as an effective strategy for the elimination of infectious diseases. An SIR epidemic model with pulse vaccination and distributed time delay is proposed in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution of the impulsive epidemic system and prove that the infection-free periodic solution is globally attractive if the vaccination rate is larger enough. Moreover, we show that the disease is uniformly persistent if the vaccination rate is less than some critical value. The permanence of the model is investigated analytically. Our results indicate that a large pulse vaccination rate is sufficient for the eradication of the disease.
dc.description.sponsorshipThe research of Shujing Gao has been supported by The Foundation of Educational Committee of Jiangxi Province in China ([2007]294) and The National Natural Science Foundation of Jiangxi Province. The research of Zhidong Teng has been partially supported by The National Natural Science Foundation of China (10361004), and by The Major Project of The Ministry of Education. The research of J. J. Nieto and A. Torres has been partially supported by Ministerio de Ciencia y Tecnologia and FEDER, project MTM2004 - 06652 - C03 - 01, and by Xunta de Galicia and FEDER, project PGIDIT05PXIC20702PN
dc.language.isoeng
dc.publisherHindawi
dc.rightsCopyright © 2007 Shujing Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.titleAnalysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay
dc.typejournal article
dc.identifier.doi10.1155/2007/64870
dc.relation.publisherversionhttps://doi.org/10.1155/2007/64870
dc.type.hasVersionVoR
dc.identifier.essn1110-7251
dc.rights.accessRightsopen access
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Psiquiatría, Radioloxía, Saúde Pública, Enfermaría e Medicina
dc.description.peerreviewedSI


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Copyright © 2007 Shujing Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
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 Copyright © 2007 Shujing Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited





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