https://doi.org/10.1140/epjp/i2019-13009-1
Regular Article
Existence and uniqueness of solution of a fractional order tuberculosis model
1
Bayero University Kano, Kano, Nigeria
2
Kermanshah University of Technology, Kermanshah, Iran
* e-mail: isababa7@yahoo.com
Received:
1
July
2019
Accepted:
8
August
2019
Published online:
4
October
2019
Tuberculosis is among the infectious diseases that kill human beings worldwide. This paper proposes a fractional order tuberculosis model that studies the dynamics of the disease. The operator considered here is the Atangana-Baleanu one in the Caputo sense. This is to include into the formulation of the model the effect of nonlocal fading memory. The existence and uniqueness of solution of the model is extensively studied. A numerical scheme is established based on the product-integration (PI) rule, which is used to solve the fractional model.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
