An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems


Autoria(s): Alonso Quesada, Santiago; De la Sen Parte, Manuel; Agarwal, A.; Ibeas Hernández, Asier
Data(s)

17/02/2014

17/02/2014

01/09/2012

Resumo

This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) epidemic model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes the contacts among susceptible and infected more difficult. The vaccination strategy is based on a continuous-time nonlinear control law synthesised via an exact feedback input-output linearization approach. An observer is incorporated into the control scheme to provide online estimates for the susceptible and infected populations in the case when their values are not available from online measurement but they are necessary to implement the control law. The vaccination control is generated based on the information provided by the observer. The control objective is to asymptotically eradicate the infection from the population so that the removed-by-immunity population asymptotically tracks the whole one without precise knowledge of the partial populations. The model positivity, the eradication of the infection under feedback vaccination laws and the stability properties as well as the asymptotic convergence of the estimation errors to zero as time tends to infinity are investigated.

Identificador

Advances in Difference Equations 2012: (2012) // Article nº 161

1687-1847

http://hdl.handle.net/10810/11534

10.1186/1687-1847-2012-161

Idioma(s)

eng

Publicador

Springer

Relação

http://link.springer.com/article/10.1186%2F1687-1847-2012-161

Direitos

© 2012 Alonso-Quesada et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

info:eu-repo/semantics/openAccess

Palavras-Chave #SEIR epidemic models #vaccination #nonlinear control #stability #positivity #nonlinear observers design
Tipo

info:eu-repo/semantics/article