文章基本信息

标题：A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
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作者：Santiago Alonso-Quesada ; Manuel De la Sen ; Asier Ibeas 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：364
DOI：10.1186/1687-1847-2013-364
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epidemic model. The model takes into account that the recovered individuals lose the disease immunity after a finite time period. A control technique based on a model linearization approach is used to design the vaccination strategy in order to eradicate the infection from the population. Moreover, the controlled system is guaranteed to be positive and stable under such a vaccination control strategy. A simulation example illustrates the theoretical results relative to the stability and positivity of the controlled system while guaranteeing the eradication of the epidemics. MSC:93C10, 93C15, 93C95, 34D20, 34H15.
关键词：SIRS epidemic models ; vaccination ; nonlinear control ; stability ; positivity