Optimal Control Strategy on Transmission Dynamics of HIV-HSV-II Coinfection Model

Subject Areas : International Journal of Industrial Mathematics

Eshetu__Dadi__Gurmu Eshetu__Dadi__Gurmu ^{1 *} , Boka__Kumsa__Bole Boka__Kumsa__Bole ² , Purnachandra __ Rao__Koya Purnachandra __ Rao__Koya ³

1 - Mathematics , Natural Science, Nekemte, Ethiopia
2 - Mathematics, Natural Science, Wollega University, Nekemte, Ethiopia
3 - Mathematics, Natural Science, Wollega University, Nekemte, Ethiopia

Received: 2020-08-18 Accepted : 2024-08-05 Published : 2024-03-31

Keywords: Coinfection, Stability, Optimal control, Numerical, Simulation,

Abstract :

In this paper, the optimal control problem is applied to Human immunodeficiency viruses (HIV) and Herpes simplex virus type 2 (HSV-2) coinfection model formulated by a system of ordinary differential equations. An optimal control system was performed with the help of the 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.