Document Type : Research Paper


Department of Mathematics, Wollega University, Nekemte, Ethiopia



In this paper, optimal control theory is applied to Human Papillomavirus (HPV) and Human immunodeficiency viruses (HIV) coinfection model given by using a system of ordinary differential equations. Optimal control strategy was employed to study the effect of combining various intervention strategies such as prevention, screening and treatment to control the transmission dynamics of Human Papilloma Virus and Human immunodeficiency viruses co infection diseases. The necessary conditions for the existence of the optimal controls were established using Pontryagin’s Maximum Principle. Optimal control system was performed with help of Runge-Kutta forward-backward sweep numerical approximation method. Finally, numerical simulation illustrated that a combination of prevention, screening and treatment is the most effective strategy to minimize the disease from the community. HPV-HIV coinfection remain a challenge especially in developing countries, but from results of this study we recommend that, the government should introduce education programmers on the importance of voluntary and routinely screening on HPV-HIV co infection.


Main Subjects