Analysis of Tuberculosis by SEIR Model with Holling Type-II: Treatment Function and Optimal Control

This study focuses on the analysis of tuberculosis using mathematical modeling and optimal control strategies. It emphasizes the significance of understanding tuberculosis as an infectious disease for effective control. The article utilizes the 𝑆𝐸𝐼𝑅 model with a Holling type-II treatment function and a non-linear incidence rate to study tuberculosis. Additionally, it discusses equilibrium points and stability analysis in these models. The study identifies the potential spread of the disease through the estimation of 𝑅0 for the model. Furthermore, it explores the application of optimal control techniques to minimize tuberculosis occurrences and reduce control costs. The document includes a numerical example to demonstrate the efficacy of these strategies. Overall, this study presents a comprehensive analysis of tuberculosis using mathematical modeling and underscores the importance of prudent control strategies in managing the disease.