TY - EJOU AU - Atangana, Abdon AU - Koca, Ilknur TI - Modeling the Spread of Tuberculosis with Piecewise Differential Operators T2 - Computer Modeling in Engineering \& Sciences PY - 2022 VL - 131 IS - 2 SN - 1526-1506 AB - Very recently, a new concept was introduced to capture crossover behaviors that exhibit changes in patterns. The aim was to model real-world problems exhibiting crossover from one process to another, for example, randomness to a power law. The concept was called piecewise calculus, as differential and integral operators are defined piece wisely. These behaviors have been observed in the spread of several infectious diseases, for example, tuberculosis. Therefore, in this paper, we aim at modeling the spread of tuberculosis using the concept of piecewise modeling. Several cases are considered, conditions under which the unique system solution is obtained are presented in detail. Numerical simulations are performed with different values of fractional orders and density of randomness. KW - Spread of tuberculosis; piecewise differentiation; numerical simulation DO - 10.32604/cmes.2022.019221