On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

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.Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa.In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed.The existence and uniqueness of solutions are presented in the new approach far from the deterministic fractional operators.
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.We carry out numerical simulations of the model using three fractional operators.Our numerical results suggest that the Caputo–Fabrizio operator has a more random effect among the three different operators than the Atangana–Baleanu and the Caputo operators.

Further, it is envisaged that the fractional-order derivatives significantly impact the dynamics of the disease