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Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

Author

Listed:
  • Joshua Kiddy K. Asamoah
  • Francis T. Oduro
  • Ebenezer Bonyah
  • Baba Seidu

Abstract

We examine an optimal way of eradicating rabies transmission from dogs into the human population, using preexposure prophylaxis (vaccination) and postexposure prophylaxis (treatment) due to public education. We obtain the disease‐free equilibrium, the endemic equilibrium, the stability, and the sensitivity analysis of the optimal control model. Using the Latin hypercube sampling (LHS), the forward‐backward sweep scheme and the fourth‐order Range‐Kutta numerical method predict that the global alliance for rabies control’s aim of working to eliminate deaths from canine rabies by 2030 is attainable through mass vaccination of susceptible dogs and continuous use of pre‐ and postexposure prophylaxis in humans.

Suggested Citation

  • Joshua Kiddy K. Asamoah & Francis T. Oduro & Ebenezer Bonyah & Baba Seidu, 2017. "Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnljam:v:2017:y:2017:i:1:n:2451237
    DOI: 10.1155/2017/2451237
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    References listed on IDEAS

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    1. repec:plo:pone00:0020891 is not listed on IDEAS
    2. Tailei Zhang & Kai Wang & Xueliang Zhang, 2015. "Modeling and Analyzing the Transmission Dynamics of HBV Epidemic in Xinjiang, China," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-14, September.
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    Cited by:

    1. Mary C. Swai & Nyimvua Shaban & Theresia Marijani, 2021. "Optimal Control in Two Strain Pneumonia Transmission Dynamics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    2. Jufren Zakayo Ndendya & Stephen Edward & Maganga Sambo, 2025. "A Caputo Fractional‐Order Model for Dog Rabies Transmission With Vaccination: A Case Study of Ulanga District, Tanzania," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    3. Sacrifice Nana-Kyere & Joshua Kiddy K. Asamoah & Johnson De-Graft Ankamah & Eric Okyere & Baba Seidu & Daniel Kwarteng & Emmanuel Larbi Ayetey & James Kwabena Odum, 2025. "Mathematical Modeling and Cost‐Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    4. Furaha Chuma & Gasper Godson Mwanga & Verdiana Grace Masanja, 2019. "Application of Optimal Control Theory to Newcastle Disease Dynamics in Village Chicken by Considering Wild Birds as Reservoir of Disease Virus," Journal of Applied Mathematics, John Wiley & Sons, vol. 2019(1).
    5. C. S. Bornaa & Baba Seidu & M. I. Daabo, 2020. "Mathematical Analysis of Rabies Infection," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    6. Francis Musili Muli, 2025. "Mathematical Analysis of Drug and Substance Abuse Model With Treatment and Policing," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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