A switched multicontroller for an SEIADR epidemic model with monitored equilibrium points and supervised transients and vaccination costs
De la Sen, Manuel (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Agarwal, Ravi P. (King Abdulaziz University. Department of Mathematics)
Nistal, Raul (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Alonso-Quesada, Santiago (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)

Date:	2018
Abstract:	This paper presents a multicontroller structure for an SEIADR (susceptible-exposed-symptomatic infectious-asymptomatic infectious-dead lying bodies recovered by immunity, or immune, subpopulations) epidemic model, which has three different controls involving feedback, namely, the vaccination on the susceptible subpopulation, the antiviral treatment on the symptomatic infectious subpopulation, and the impulsive removal on the infective lying bodies. The incorporation of the asymptomatic infectious and infective dead bodies to SEIR-type models allows a better modeling of diseases where the death bodies are infective as, for instance, the Ebola disease. The proposed supervised multicontroller scheme consists of a parallel disposal of several alternative controller parameterizations together with a switching scheme that chooses the active controller through consecutive time intervals via a supervisory decision scheme. The supervisory scheme decides to switch or not at testing time instants. Switching is performed to a distinct active scheme to the current active if the tentative controller minimizes the value of a loss function compared to the values of the other control schemes available in the parallel controller disposal. The supervisory loss (or cost) function incorporates several additive weighted terms including the infection loss function evolution and the vaccination, antiviral treatment, and bodies removal efforts.
Grants:	Ministerio de Economía y Competitividad DPI2015-64766-R Ministerio de Economía y Competitividad DPI2016-77271-R
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:	Epidemics ; Vaccination ; Treatment ; Impulsive controls ; Removal ; Supervision ; Switching
Published in:	Advances in difference equations, Vol. 2018 (October 2018) , art. 390, ISSN 1687-1847

DOI: 10.1186/s13662-018-1839-9

31 p, 3.9 MB

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