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dc.contributor.author | Gao, Shujing |
dc.contributor.author | Teng, Zhi-Dong |
dc.contributor.author | Nieto Roig, Juan José |
dc.contributor.author | Torres Iglesias, Ángela Juana |
dc.date.accessioned | 2020-06-06T10:45:28Z |
dc.date.available | 2020-06-06T10:45:28Z |
dc.date.issued | 2007 |
dc.identifier.citation | Gao, 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.issn | 1110-7243 |
dc.identifier.uri | http://hdl.handle.net/10347/22850 |
dc.description.abstract | Pulse 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.sponsorship | The 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.iso | eng |
dc.publisher | Hindawi |
dc.rights | 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 |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/ |
dc.title | Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay |
dc.type | journal article |
dc.identifier.doi | 10.1155/2007/64870 |
dc.relation.publisherversion | https://doi.org/10.1155/2007/64870 |
dc.type.hasVersion | VoR |
dc.identifier.essn | 1110-7251 |
dc.rights.accessRights | open access |
dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización |
dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Psiquiatría, Radioloxía, Saúde Pública, Enfermaría e Medicina |
dc.description.peerreviewed | SI |
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