Mathematical Analysis of the TB Model with Treatment via Caputo-Type Fractional Derivative

Xiao-Hong Zhang, Aatif Ali, Muhammad Altaf Khan, Mohammad Y. Alshahrani, Taseer Muhammad, Saeed Islam and Juan Luis García Guirao

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-15

Abstract: In this study, we formulate a noninteger-order mathematical model via the Caputo operator for the transmission dynamics of the bacterial disease tuberculosis (TB) in Khyber Pakhtunkhwa (KP), Pakistan. The number of confirmed cases from 2002 to 2017 is considered as incidence data for the estimation of parameters or to parameterize the model and analysis. The positivity and boundedness of the model solution are derived. For the dynamics of the tuberculosis model, we find the equilibrium points and the basic reproduction number. The proposed model is locally and globally stable at disease-free equilibrium, if the reproduction number â„›0

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9512371

DOI: 10.1155/2021/9512371

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