Optimal Control Model for the Dynamics of Tuberculosis in Mubi North Local Government Adamawa State of Nigeria

The optimal control model with five different control strategies; the control effort on vaccination (u1), the control effort on public health campaigns (u2), the control effort on tuberculosis case detection (u3), the control effort on quarantine (u4) and the control effort on sanitarium (u5) is formulated and analyzed using Pontrayagin’s maximum principle. The numerical simulations of the optimal control model have been applied to dynamics of TB in Mubi North Local Governt Area of Adamawa State and the results have shown that tuberculosis infection can be effectively controlled in Mubi Northn provided that 35.69% control effort on vaccination (u1), 35.69% control effort on public health campaign (u2), 0.0642% control effort on tuberculosis case detection (u3), 28.55% control effort on quarantine (u4), and 0.0021% control effort on sanitarium (u5) are continuously implemented.