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Tuberculosis model with relapse via fractional conformable derivative with power law
Author(s) -
Khan Muhammad Altaf,
GómezAguilar Francisco
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5816
Subject(s) - conformable matrix , mathematics , fractional calculus , derivative (finance) , infinity , tuberculosis , set (abstract data type) , medicine , mathematical analysis , computer science , physics , pathology , quantum mechanics , financial economics , economics , programming language
The present study explores the tuberculosis dynamics with relapse with a nonlocal conformable derivative in the Caputo sense. The real data of tuberculosis cases since 2002 to 2017 are used to the set the parameters. The numerical results with the realistic parameters are chosen and present the graphical results. Further, we assign different values to the fractional parameters α and β and discuss its effect on the system variables. The use of these two fractional operators on the model simultaneously with realistic data gives reliable results.