<p>Ebola virus disease (EVD) is a rare but dangerous disease that frequently causes death if not treated appropriately. This study aims to investigate the optimal control effort needed to control the transmission of EVD in a population at a minimum cost. Optimal control and cost-effectiveness analyses were used to determine the most effective control intervention among the various strategies investigated, considering three distinct scenarios to address the optimal control issues. Pontryagin’s maximum principle was used to derive the necessary conditions for optimal control. The average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER) were used to evaluate the most cost-effective strategy. The optimal control results showed that the time-dependent control measures implemented minimise the spread of Ebola in the population. The cost-effectiveness analysis revealed that the simultaneous use of both education/campaign and treatment controls is the most cost-effective strategy for controlling the spread of Ebola. This study offers insight into how to effectively control the transmission of Ebola at the lowest possible cost.</p>