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Journal of Applied Mathematics
Volume 2017, Article ID 2451237, 23 pages
Research Article

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

1Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
2Department of Statistics and Mathematics, Kumasi Technical University, Kumasi, Ghana
3Department of Mathematics, University for Development Studies, Navrongo, Ghana

Correspondence should be addressed to Joshua Kiddy K. Asamoah; hg.ude.smia@haomasaj

Received 1 January 2017; Revised 13 March 2017; Accepted 19 April 2017; Published 16 July 2017

Academic Editor: Zhen Jin

Copyright © 2017 Joshua Kiddy K. Asamoah et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.