Optimal Control Analysis of a Cholera Disease Transmission Model in Tanzania

Authors(3) :-Neterindwa Ainea, Alex Xavery Matofali, Michael Mkwizu

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.

Authors and Affiliations

Neterindwa Ainea
Department of Mathematics, Informatics and Computational Sciences, Sokoine University of Agriculture (SUA), Morogoro, Tanzania
Alex Xavery Matofali
Department of Mathematics, Informatics and Computational Sciences, Sokoine University of Agriculture (SUA), Morogoro, Tanzania
Michael Mkwizu
Department of Mathematics, Informatics and Computational Sciences, Sokoine University of Agriculture (SUA), Morogoro, Tanzania

Modelling, Education Campaign, Treatment, Optimal Control

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Publication Details

Published in : Volume 4 | Issue 4 | March-April 2018
Date of Publication : 2018-04-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 865-872
Manuscript Number : IJSRSET1844217
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

Neterindwa Ainea, Alex Xavery Matofali, Michael Mkwizu, " Optimal Control Analysis of a Cholera Disease Transmission Model in Tanzania, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 4, pp.865-872, March-April-2018.
Journal URL : http://ijsrset.com/IJSRSET1844217

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