A comprehensive epidemiological model has been developed to capture the dynamics of tuberculosis, incorporating distinct compartments for both uncomplicated and complicated infected individuals, with a spatial dimension applied to the uncomplicated infected population. This model provides a nuanced understanding of tuberculosis spread and its control. Two control strategies were proposed and analyzed within this framework: the first focuses on targeted vaccination of susceptible individuals, while the second emphasizes the management and treatment of currently infected individuals. The existence of an optimal solution, including the identification of an optimal control pair, was established using optimal control theory, confirming the feasibility and potential effectiveness of these strategies. Numerical simulations conducted using the Forward-Backward Sweep Method (FBSM) supported the practical applicability and efficacy of the proposed interventions, demonstrating their potential in real-world scenarios.