Modeling the Spread of Tuberculosis with Piecewise Differential Operators  

作　　者：Abdon Atangana Ilknur Koca 

机构地区：[1]Institute for Groundwater Studies,Faculty of Natural and Agricultural Sciences,University of the Free State,Bloemfontein,9301,South Africa [2]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,008864,Taiwan [3]Department of Accounting and Financial Management,Seydikemer High School of Applied Sciences,Mugla Sitki Kocman University,Mugla,48300,Turkey

出　　处：《Computer Modeling in Engineering & Sciences》2022年第5期787-814,共28页工程与科学中的计算机建模（英文）

摘　　要：Very recently,a new concept was introduced to capture crossover behaviors that exhibit changes in patterns.The aimwas tomodel 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.

关 键 词：Spread of tuberculosis piecewise differentiation numerical simulation 

分 类 号：O17[理学—数学]