Document Type : Research Paper

Authors

Department of Mathematics, College of Natural and Computational Science, Wollega University, Nekemte, Ethiopia

Abstract

In this paper, optimal control problem is applied to Human Papillomavirus (HPV) and Herpes simplex virus type 2 (HSV-2) coinfection model formulated by a system of ordinary differential equations. Optimal control strategy is employed to study the effect of combining different intervention strategy on the transmission dynamics of HPV-HSV-II coinfection diseases. The necessary conditions for the existence of the optimal controls are established using Pontryagin’s Maximum Principle. Optimal control systems were performed with help of Runge-Kutta forward-backward sweep numerical approximation method. Finally, numerical simulation illustrated that a combination of all controls is the most effective strategy to minimize the disease from the community. The results shows that the size of infectious population are minimized by using different control strategies.

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