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    Optimal Control of An Sir Model With Changing Behavior Through An Education Campaign

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    Agusto_2015.pdf (287.9Kb)
    Issue Date
    2015-02-19
    Author
    Joshi, Hem Raj
    Lenhart, Suzanne
    Hota, Sanjukta
    Augusto, Folashade B.
    Publisher
    Texas State University, Department of Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Published Version
    http://ejde.math.txstate.edu/
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    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.
    URI
    http://hdl.handle.net/1808/21825
    Collections
    • Ecology and Evolutionary Biology Scholarly Works [1404]
    Citation
    JOSHI, H., Lenhart, S., Hota, S., & Agusto, F. (2015). Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations, 2015(50), 1-14.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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