Vaccination controllers for SEIR epidemic models based on fractionalorder dynamics

tThis article proposes a novel fractional order robust vaccination controller based on the fractional orderSEIR epidemic model which is subject to the parametric uncertainties. Classical sliding mode controller isrobust but due to the high frequency chattering phenomena, it is not feasible for pract...

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Detalhes bibliográficos
Autores: Ullah, Nasim, Ibeas, Asier, Shafi, M., Ishfaq, M., Ali, Mumtaz
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2017
País:Colombia
Recursos:Universidad de Bogotá Jorge Tadeo Lozano
Repositório:Expeditio: repositorio UTadeo
OAI Identifier:oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/9068
Acesso em linha:http://dx.doi.org/10.1016/j.bspc.2017.05.013
http://hdl.handle.net/20.500.12010/9068
Access Level:Acceso aberto
Palavra-chave:Epidemic disease
SEIR models
Fractional calculus
Vaccination based control
Robust control
Vacunación -- Investigaciones
Enfermedades transmisibles - Prevención
Descrição
Resumo:tThis article proposes a novel fractional order robust vaccination controller based on the fractional orderSEIR epidemic model which is subject to the parametric uncertainties. Classical sliding mode controller isrobust but due to the high frequency chattering phenomena, it is not feasible for practical implementation.To reduce the chattering phenomena, a new fractional order sliding manifold is proposed and a low gainfractional order robust vaccination control law is formulated with same robustness as classical slidingmode control. Effectiveness of the proposed vaccination control strategy is shown through numericalsimulations.