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dc.contributor.authorDe La Sen, Manuel
dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorIbeas, Asier
dc.contributor.authorAlonso-Quesada, Santiago
dc.date.accessioned2014-10-14T20:02:27Z
dc.date.available2014-10-14T20:02:27Z
dc.date.issued2011-03-13
dc.identifier.citationDe La Sen, M., Agarwal, R. P., Ibeas, A., & Alonso-Quesada, S. (2011). On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination. Advances in Difference Equations, 2011en_US
dc.identifier.urihttp://hdl.handle.net/11141/369
dc.description.abstractThis paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well as the boundedness of the total and partial populations. The model takes also into consideration the natural population growing and the mortality associated to the disease as well as the lost of immunity of newborns. It is assumed that there are two finite delays affecting the susceptible, recovered, exposed, and infected population dynamics. Some extensions are given for the case when impulsive nonconstant vaccination is incorporated at, in general, an aperiodic sequence of time instants. Such an impulsive vaccination consists of a culling or a partial removal action on the susceptible population which is transferred to the vaccinated one. The oscillatory behavior under impulsive vaccination, performed in general, at nonperiodic time intervals, is also discussed.en_US
dc.language.isoen_USen_US
dc.rightsThis published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.en_US
dc.rights.urihttp://www.springeropen.com/openaccessen_US
dc.titleOn the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccinationen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2011/748608


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