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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Detalles Bibliográficos
Autores: Ullah, Nasim, Ibeas, Asier, Shafi, M., Ishfaq, M., Ali, Mumtaz
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:Colombia
Institución:Universidad de Bogotá Jorge Tadeo Lozano
Repositorio:Expeditio: repositorio UTadeo
OAI Identifier:oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/9068
Acceso en línea:http://dx.doi.org/10.1016/j.bspc.2017.05.013
http://hdl.handle.net/20.500.12010/9068
Access Level:acceso abierto
Palabra clave:Epidemic disease
SEIR models
Fractional calculus
Vaccination based control
Robust control
Vacunación -- Investigaciones
Enfermedades transmisibles - Prevención
Descripción
Sumario: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.