Optimal Control Analysis of a Cholera Disease Transmission Model in Tanzania

Authors

  • 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

Keywords:

Modelling, Education Campaign, Treatment, Optimal Control

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.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-04-30

Issue

Volume 4, Issue 4, March-April-2018

Section

Research Articles

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How to Cite

[1]
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.