Analysis and dynamical transmission of tuberculosis model with Treatment effect by using Fractional Operator

<title>Abstract</title> Each year, millions of people die from the airborne infectious illness tuberculosis (TB). Several drug-susceptible (DS) and drug-resistant (DR) forms of the causative agent, Mycobacterium tuberculosis (MTB), are currently common in the majority of affluent and developing nations, particularly in Bangladesh, and completely drug-resistant strains are beginning to arise. In this study, we developed fractional order tuberculosis model with fractal fractional operator by using generalized mittag-leffler kernel. By demonstrating characteristics such the boundedness of solutions, positivity, and the reliance of the solution on the original data, the biological well-posedness of the mathematical model formulation was investigated for TB cases of 2002 to 2017 in KPK Pakistan. Ulam-Hyres stability is also used to assess both local and global aspects of…