Abstract:
In this paper, a deterministic model with optimal control of cholera in Tanzania is proposed and analysed.
Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum
principle and the numerical values of model parameters were estimated using maximum likelihood estimator.
Two control strategies were incorporated such as human education campaign and treatment of water (to reduce
the growth of the organism) and its' impact were graphically observed. The goal is to minimize the spread of
cholera disease in the community and to minimize the costs of control strategies. The results show that the
effective use of optimal human education campaign and treatment of water has a significant impact in reducing
the spread of the disease in the community.
