On the Stability Analysis of the Generalized Mathematical Model with Fractional-Order for Mycobacterium Tuberculosis

In this study, the mathematical model, based on the system of fractional-order differential equations and examined the dynamics among concentrations of multiple antibiotic, immune system cells of host and sensitive and resistant bacterial populations to antibiotic in case of bacterial infection, was proposed. The existence and uniqueness of this model solutions were showed. In addition, according to the specific conditions of the parameters used in the model, the existence of disease-free equilibrium point and the stability of this point was examined. The proposed model with numerical simulations by using the parameter values obtained from the literature for Mycobacterium Tuberculosis (Mtb) was supported, which is fully compatible with the recommended treatment method