Optimal Control and Cost-Effectiveness Analysis for Dysentery Epidemic Model

Authors

Hailay Weldegiorgis Berhe, Pan African University, Institute of Basic Sciences Technology and Innovation/JKUAT, Nairobi, Kenya.Follow
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Cape Town, South Africa.Follow
David Mwangi Theuri, Department of Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.Follow

Author Country (or Countries)

Kenya.

Abstract

In this paper, optimal control theory is applied to a system of ordinary differential equations representing a dysentery diarrhea epidemic. Optimal control strategies are proposed to reduce the number of infected humans and the cost of interventions. The Pontryagin’s maximum principle is employed to find the necessary conditions for the existence of the optimal controls. Runge- Kutta forward-backward sweep numerical approximation method is used to solve the optimal control system. The incremental costeffectiveness analysis technique is used to determine the most cost-effective strategy.We observe that the control measure implementing sanitation and education campaign is the most efficient and cost-effective.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120613

Recommended Citation

Weldegiorgis Berhe, Hailay; Daniel Makinde, Oluwole; and Mwangi Theuri, David (2018) "Optimal Control and Cost-Effectiveness Analysis for Dysentery Epidemic Model," Applied Mathematics & Information Sciences: Vol. 12: Iss. 6, Article 13.
DOI: http://dx.doi.org/10.18576/amis/120613
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss6/13