Analysis of Stochastic Tuberculosis Model with Mixed-Strain

In this work, we have put forth a stochastic model to analyze the dynamics of tuberculosis with mixed strains. The primary aim of this investigation is to incorporate the noise effects into the model to simulate the real-world dynamics of tuberculosis and enhance comprehension of its dissemination and transmission patterns. We discuss the existence and uniqueness of the global positive solution. Next, we establish a unique stationary distribution using appropriate Lyapunov functions, which confirms the disease’s long-lasting presence. We derive the sufficient conditions for the eradication of the considered model. Finally, we conduct numerical computations to illustrate the key findings of this work.