Herpes Simplex Virus Type -2 (HSV-2) and HIV Co-infection Dynamics with Optimal Control

Herpes Simplex Virus type-2 (HSV-2) is a member of the human Herpe is virial family, a set of viruses that produce viral infection in majority of humans. It is frequently unrecognized lifelong infection which may facilitate the Human Immunodeficiency Virus (HIV) transmission. In this paper, a deterministic co-infection model of HSV-2 and HIV was considered. The model was qualitatively analysed and numerically simulated. Optimal control theory was applied. We proved existence of the optimal control and characterized the controls. The controls represent monitoring and counselling of individuals infected with HSV-2 only and also represent monitoring and counselling of individuals dually infected with HSV-2 and HIV. It was revealed that efforts should be devoted to individuals dually infected with HSV-2 and HIV as compared to those infected with HSV-2 only. Co-infection, Herpes, HIV, Optimal control, Reproduction number