A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
Alonso-Quesada, Santiago (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
De la Sen, Manuel (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Nistal, Raul (Universidad del País Vasco. Departamento de Electricidad y Electrónica)

Date:	2013
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad DPI2012-30651 Ministerio de Economía y Competitividad DPI2009-07197
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	SIRS epidemic models ; Vaccination ; Nonlinear control ; Stability ; Positivity
Published in:	Advances in difference equations, Vol. 2013 (Dec. 2013) , art. 364, ISSN 1687-1847

DOI: 10.1186/1687-1847-2013-364

18 p, 504.0 KB

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