In this paper, we presented a mathematical model for the optimal control of cholera. Investigating the best means of reducing the final size of the epidemic, we introduced three time dependent controls namely, provision of clean water, social distancing and treatment. Using optimal control theory we developed an objective functional to minimize the number of infectives. The Pontryagin’s Maximum principle was used to convert the problem of minimization of the objective functional coupled with the state variable into a problem of minimizing point-wisely a Hamiltonian. The optimal control was obtained by solving the optimality system which was composed of four nonlinear ODEs with initial cond
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