Dissertation/Thesis Abstract

Analysis of Dynamics and Optimal Control for an SIR Epidemiological Model with Time-varying Populations
by Aghaee, Mahya, M.S., Southern Illinois University at Edwardsville, 2016, 43; 10149585
Abstract (Summary)

In this thesis, we formulate an optimal control problem for an SIR model with timevarying population. Vaccination and treatment are considered as control variables to manage the outbreak of a disease. We studied Pontryagin’s maximum principle to characterize the optimal levels of the two controls. The results show that the optimal vaccination schedule can be singular whereas for the optimal treatment schedules bang-bang control is the optimal strategy.

Indexing (document details)
Advisor: Ledzewicz, Urszula, Schaettler, Heinz
Commitee: Chew, Song Foh, Parish, James L.
School: Southern Illinois University at Edwardsville
Department: Mathematics and Statistics
School Location: United States -- Illinois
Source: MAI 56/01M(E), Masters Abstracts International
Subjects: Applied Mathematics
Keywords: Bang-bang control, Epidemiology, Optimal control, Pontryagin maximum principle, Singular control, Sir model
Publication Number: 10149585
ISBN: 978-1-369-04685-4
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