“…Here, we assume that the cost of treatment for co-infected individuals is more than the cost of treatment for singly-infected individuals. Following the reported prevalence of Syphilis and HPV as well as the co-infection prevalence in [34, 39] and the demographic data obtained from [9], we set the initial conditions at: S (0) = 100, 000, E (0) = 10, 000, I (0) = 20, 000, L (0) = 2000, T (0) = 0, V H = 100, 000, H (0) = 2000, P (0) = 1000, C (0) = 2000, R C (0) = 0, R H (0) = 0, H E (0) = 2000, H I (0) = 10, 000, H L (0) = 10, 000, P E (0) = 1000, P I (0) = 1000, P L (0) = 1000, C E (0) = 1000, C I (0) = 10, 000, C L (0) = 5000. We implement the following four different control strategies for numerical simulations of the co-infection model 23.…”