Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

被引:0
|
作者
Asamoah J.K.K. [1 ]
Oduro F.T. [1 ]
Bonyah E. [2 ]
Seidu B. [3 ]
机构
[1] Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi
[2] Department of Statistics and Mathematics, Kumasi Technical University, Kumasi
[3] Department of Mathematics, University for Development Studies, Navrongo
关键词
All Open Access; Gold; Green;
D O I
10.1155/2017/2451237
中图分类号
学科分类号
摘要
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. © 2017 Joshua Kiddy K. Asamoah et al.
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