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...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.展开更多
文摘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.
