2015-Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota - Optimal control of an SIR model with changing behavior through an education campaign.
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Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota. 2015 Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations. 2015(50): 1-14.
See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .
Abstract. An SIR type model is expanded to include the use of education or information given to the public as a control to manage a disease outbreak when effective treatments or vaccines are not readily available or too costly to be widely used. The information causes a change in behavior resulting in three susceptible classes. We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost). We illustrate our results with some numerical simulations.
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