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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorDe La Sen, Manuel
dc.contributor.authorIbeas, Asier
dc.contributor.authorAlonso-Quesada, Santiago
dc.date.accessioned2015-01-29T15:16:44Z
dc.date.available2015-01-29T15:16:44Z
dc.date.issued2010-12-14
dc.identifier.citationAgarwal, R. P., De La Sen, M., Ibeas, A., & Alonso-Quesada, S. (2010). On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls. Advances in Difference Equations, 2010.en_US
dc.identifier.urihttp://hdl.handle.net/11141/475
dc.description.abstractThis paper discusses a generalized time-varying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the natural population growing and the mortality associated to the disease, and the potential presence of disease endemic thresholds for both the infected and infectious population dynamics as well as the lost of immunity of newborns. The presence of outsider infectious is also considered. It is assumed that there is a finite number of time-varying distributed delays in the susceptible-infected coupling dynamics influencing the susceptible and infected differential equations. It is also assumed that there are time-varying point delays for the susceptible-infected coupled dynamics influencing the infected, infectious, and removed-by-immunity differential equations. The proposed regular vaccination control objective is the tracking of a prescribed suited infectious trajectory for a set of given initial conditions. The impulsive vaccination can be used to improve discrepancies between the SEIR model and its suitable reference one.en_US
dc.language.isoen_USen_US
dc.rightsThis 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.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.titleOn a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controlsen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2010/281612


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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.
Except where otherwise noted, this item's license is described as 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.