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A Mathematical Model of Contact Tracing during the 2014–2016 West African Ebola Outbreak

Author

Listed:
  • Danielle Burton

    (Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA)

  • Suzanne Lenhart

    (Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA)

  • Christina J. Edholm

    (Mathematics Department, Scripps College, Claremont, CA 91711, USA)

  • Benjamin Levy

    (Department of Mathematics, Fitchburg State University, Fitchburg, MA 01420, USA)

  • Michael L. Washington

    (Centers for Disease Control and Prevention, Atlanta, GA 30333, USA)

  • Bradford R. Greening

    (Centers for Disease Control and Prevention, Atlanta, GA 30333, USA)

  • K. A. Jane White

    (Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK)

  • Edward Lungu

    (Department of Mathematical & Statistical Sciences, Botswana International University of Science & Technology, Palapye, Botswana)

  • Obias Chimbola

    (Department of Mathematical & Statistical Sciences, Botswana International University of Science & Technology, Palapye, Botswana)

  • Moatlhodi Kgosimore

    (Department of Biometry & Mathematics, Botswana University of Agriculture and Natural Sciences, Gaborone, Botswana)

  • Faraimunashe Chirove

    (Department of Applied Mathematics, University of Johannesburg, Johannesburg 2092, South Africa)

  • Marilyn Ronoh

    (School of Mathematics, University of Nairobi, Nairobi, Kenya)

  • M. Helen Machingauta

    (Department of Mathematical & Statistical Sciences, Botswana International University of Science & Technology, Palapye, Botswana)

Abstract

The 2014–2016 West African outbreak of Ebola Virus Disease (EVD) was the largest and most deadly to date. Contact tracing, following up those who may have been infected through contact with an infected individual to prevent secondary spread, plays a vital role in controlling such outbreaks. Our aim in this work was to mechanistically represent the contact tracing process to illustrate potential areas of improvement in managing contact tracing efforts. We also explored the role contact tracing played in eventually ending the outbreak. We present a system of ordinary differential equations to model contact tracing in Sierra Leonne during the outbreak. Using data on cumulative cases and deaths, we estimate most of the parameters in our model. We include the novel features of counting the total number of people being traced and tying this directly to the number of tracers doing this work. Our work highlights the importance of incorporating changing behavior into one’s model as needed when indicated by the data and reported trends. Our results show that a larger contact tracing program would have reduced the death toll of the outbreak. Counting the total number of people being traced and including changes in behavior in our model led to better understanding of disease management.

Suggested Citation

  • Danielle Burton & Suzanne Lenhart & Christina J. Edholm & Benjamin Levy & Michael L. Washington & Bradford R. Greening & K. A. Jane White & Edward Lungu & Obias Chimbola & Moatlhodi Kgosimore & Faraim, 2021. "A Mathematical Model of Contact Tracing during the 2014–2016 West African Ebola Outbreak," Mathematics, MDPI, vol. 9(6), pages 1-21, March.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:608-:d:515607
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