独特性
数学
理论(学习稳定性)
分形
应用数学
人口
班级(哲学)
订单(交换)
数值分析
数学分析
计算机科学
医学
环境卫生
机器学习
人工智能
经济
财务
作者
Hasib Khan,Khurshaid Alam,Haseena Gulzar,Sina Etemad,Shahram Rezapour
标识
DOI:10.1016/j.matcom.2022.03.009
摘要
In this article, a fractal-fractional order tuberculosis mathematical model is presented for the existence results, numerical simulations and stability analysis. The model has six classes S1,S2,S3,E,I,R. The first three classes S1, S2, S3 represent the population of susceptible children, middle-aged, and senior adults, respectively. While I is the class of active infected individuals who can transmit the tuberculosis, E stands for non-active infected class. The population of recovered individuals is represented by R. For the existence criterion of the given model, successive iterative sequences are defined whose limit points are the solutions of our proposed tuberculosis model. After investigation of uniqueness property, the Hyers–Ulam (HU)-stability is established in the sequel. With the help of two-step Lagrange polynomials, we provide numerical solutions and we give a comparative numerical analysis for different values of the fractional order and fractal order based on the obtained algorithms. The numerical simulations show the applicability of the schemes and the future prediction.
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