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Pulse Control Strategies

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Infectious Disease Modeling

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 19))

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Abstract

Building upon the previous chapter, impulsive control in epidemic models is formulated and analyzed in this part. Pulse vaccination, which is the control technique of applying vaccinations to a portion of the susceptible population in a relatively short time period (with respect to the dynamics of the disease) is considered. This is applied to the switched SIR model previously set forth in this monograph, along with pulse treatment strategies. Complications such as general switched incidence rates, vaccine failures, media coverage, and traveling individuals are considered. Conditions are found which guarantee eradication under the pulse schemes and an evaluation and comparison of control strategies (switching and impulsive) is performed in the context of a general vector-borne disease model.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada

    Xinzhi Liu & Peter Stechlinski

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  1. Xinzhi Liu
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  2. Peter Stechlinski
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Liu, X., Stechlinski, P. (2017). Pulse Control Strategies. In: Infectious Disease Modeling. Nonlinear Systems and Complexity, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-53208-0_6

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  • DOI: https://doi.org/10.1007/978-3-319-53208-0_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53206-6

  • Online ISBN: 978-3-319-53208-0

  • eBook Packages: EngineeringEngineering (R0)

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