Modeling and analysis of fractional TB model with Atangana-Baleanu derivative

Authors

Aatif Ali, Abdul Wali Khan University MardanFollow
Saeed Islam, Abdul Wali Khan University MardanFollow
Quaid Iqbal, Abdul Wali Khan University MardanFollow
Huma GulFollow
Muhammad NafeesFollow

Corresponding Author

Aatif Ali

Document Type

Research Article

Subject Areas

Mathematical Biology and Dynamical Systems

Keywords

Tuberculosis (TB), non-local kernel, fixed point theory, real data, simulation

Abstract

In recent years Atangana and Baleanu proposed a new fractional derivative with non-singular and non-local kernel, this paper formulate a fragmentary request numerical TB model with AtanganaBaleanu derivative (AB derivative). We figured the basic reproduction number ( R0 ) and assessment of boundary dependent on genuine information of Khyber Pakhtunkhwa Pakistan, Initially we present the fundamental properties of the model, the existence and uniqueness of the model is proved using fixed point theory. At last, the model is tackled mathematically through Adams-Bashforth Moulton technique. The mathematical results for the extended model of the elements of Tuberculosis is shown graphically to feature the actual conduct of the issue and the underlying conditions are presented. The graphical results clarify the impact of various boundaries. From the examination it is tracked down that fragmentary request gives more understanding with regards to the infection elements.Â

How to Cite This Article

Ali, Aatif; Islam, Saeed; Iqbal, Quaid; Gul, Huma; and Nafees, Muhammad (2022) "Modeling and analysis of fractional TB model with Atangana-Baleanu derivative," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 1, Article 8.
DOI: https://doi.org/10.54938/ijemdm.2022.01.1.18

Receive Date

2022-01-03 14:19:09

Publication Date

1-14-2022