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Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

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  • 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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