Optimal Control with Singular Solution for SIR Epidemic Systems

Mathematical modeling represents a useful instrument to study the evolution of an epidemic spread and to determine the best control strategy to reduce the number of infected subjects. The computation of the singular solution for a SIR epidemic system with vaccination control is performed; a construc...

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Bibliographic Details
Published in:2018 26th Mediterranean Conference on Control and Automation (MED) pp. 909 - 914
Main Authors: Di Giamberardino, Paolo, Iacoviello, Daniela
Format: Conference Proceeding
Language:English
Published: IEEE 01.06.2018
Subjects:
Computational modeling
Indexes
Mathematical model
Numerical models
Optimal control
Switches
ISSN:2473-3504
Online Access:Get full text
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Summary:Mathematical modeling represents a useful instrument to study the evolution of an epidemic spread and to determine the best control strategy to reduce the number of infected subjects. The computation of the singular solution for a SIR epidemic system with vaccination control is performed; a constructive algorithm for the computation of a bang-singular-bang optimal solution is proposed and, for the specific choice of the parameters typical for a SIR model, the two switching instants, as well as the singular profile, are determined. Numerical simulations are reported to show the results of the described procedure.
ISSN:2473-3504
DOI:10.1109/MED.2018.8442937