Mostrar el registro sencillo del ítem
dc.contributor.author | Coll, Carmen | es_ES |
dc.contributor.author | Sánchez, Elena | es_ES |
dc.date.accessioned | 2021-03-01T08:08:45Z | |
dc.date.available | 2021-03-01T08:08:45Z | |
dc.date.issued | 2019-12-09 | es_ES |
dc.identifier.issn | 1578-7303 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/162573 | |
dc.description.abstract | [EN] In this work, we focus on the periodicity of recurrent epidemic patterns and propose a periodic model that includes quarantine as a control strategy. So, we consider that susceptible individuals can be quarantined (Q) and then return to the recovered class once it is determined that they are not infected. We use the basic reproductive number R0 to analyze the spread of the disease. To study the effectiveness of quarantine in the spread of the disease, a new parameter Rq is introduced. This is defined as the average number of new infections that a case generates, in a totally susceptible population when quarantine is applied to individuals during the time they are infectious. The value of Rq will be closely related to both the intensity of the intervention and the severity of the epidemic in the absence of such intervention. The behavior in absence of control will be determined by the value of the basic reproductive number R-0. | es_ES |
dc.description.sponsorship | This work is supported by Spanish Grant MTM2013-43678-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Quarantine | es_ES |
dc.subject | Periodic model | es_ES |
dc.subject | Epidemic model | es_ES |
dc.subject | Basic reproductive number | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Quarantine in an epidemic model with seasonality | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s13398-019-00753-x | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-43678-P/ES/ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Coll, C.; Sánchez, E. (2019). Quarantine in an epidemic model with seasonality. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(1):1-12. https://doi.org/10.1007/s13398-019-00753-x | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s13398-019-00753-x | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 12 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 114 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\416274 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.description.references | Allen, L., van den Driessche, P.: The basic reproduction number in some discrete-time epidemic models. J. Differ. Equ. Appl. 1–19, 1127–1147 (2008) | es_ES |
dc.description.references | Bacaër, N., Ait, E.H.D.: On the biological interpretation of a definition for the parameter $$R_0$$ in periodic population models. J. Math. Biol. 65, 601–621 (2012) | es_ES |
dc.description.references | Berman, A., Plemmons, R.J.: Non-negative Matrices in the Mathematical Sciences. SIAM, Philadelphia (1994) | es_ES |
dc.description.references | Castillo-Chavez, C., Castillo-Garsow, C.W., Yakubu, A.A.: Mahematical models of isolation and quarantine. JAMA 290, 2876–2877 (2003) | es_ES |
dc.description.references | Cantó, B., Coll, C., Sánchez, E.: A study on vaccination models for a seasonal epidemic process. Appl. Math. Comput. 243, 152–160 (2014) | es_ES |
dc.description.references | Castillo-Chavez, C., Feng, Z., Huang, W.: On the computation of $$R_0$$ and its role on global stability. Inst. Math. Appl. 125, 229–251 (2002) | es_ES |
dc.description.references | Cauchemez, S., Valleron, A.J., Boelle, P.Y., Flahault, A., Ferguson, N.M.: Estimating the impact of school closure on inluenza transmission from Sentinel data. Nature 452, 750–754 (2008) | es_ES |
dc.description.references | Cao, H., Zhou, Y.: The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discret. Contin. Dyn. Syst. Ser. B 18(1), 37–56 (2013) | es_ES |
dc.description.references | Coburn, B.J., Wagner, B.G., Blower, S.: Modeling influenza epidemics and pandemics: insights into the future of swine flu. BMC Med. 7(30), (2009). http://www.biomedcentral.com/1741-7015/7/30 | es_ES |
dc.description.references | Cushing, J.M., Ackleh, A.S.: A net reproductive number for periodic matrix models. J. Biol. Dyn. 6(2), 166–188 (2012) | es_ES |
dc.description.references | Davis, P.: Circulant Matrices. Wiley, New York (1979) | es_ES |
dc.description.references | Epstein, J.M., Goedecke, D.M., Yu, F., Morris, R.J., Wagener, D.K., Bobashev, G.V.: Controlling pandemic flu: the value of international air travel restrictions. PLoS One 452, e401 (2007) | es_ES |
dc.description.references | Fumanelli, L., Ajelli, M., Merler, S., Ferguson, N.M., Cauchemez, S.: Model-based comprehensive analysis of school closure policies for mitigating influenza epidemics and pandemics. PLoS Comput. Biol. (2016). https://doi.org/10.1371/journal.pcbi.1004681 | es_ES |
dc.description.references | Hethcote, H., Zhien, M., Shengbing, L.: Effects of quarantine in six endemic models for infectious diseases. Math. Biosci. 180, 141–160 (2002) | es_ES |
dc.description.references | Li, C.K., Schneider, H.: Applications of Perron-Frobenius theory to population dynamics. J. Math. Biol. 44, 450–462 (2002) | es_ES |
dc.description.references | Meyer, R.A., Burrus, C.S.: A unified analysis of multirate and periodically time-varying digital filters. IEEE Trans. Circuits Syst. 22(3), 162–168 (1975) | es_ES |
dc.description.references | Mubayi, A.M., Zaleta, C.K., Martcheva, M., Castillo-Chavez, C.: A cost-based comparison of quarantine strategies for new emerging diseases. Math. Biosci. Eng. 7(3), 687–717 (2010) | es_ES |
dc.description.references | Park, B., Verriest, E.I.: Canonical forms on discrete linear periodically time-varying system and a control application. In: Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, pp 1220–1225 (1989) | es_ES |
dc.description.references | Stone, L., Olinky, R., Huppert, A.: Seasonal dynamics of recurrent epidemics. Nature 446, 533–536 (2007) | es_ES |