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

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成果类型：

期刊论文

作者：

Zhang, Xiao-Hong;Ali, Aatif;Khan, Muhammad Altaf*;Alshahrani, Mohammad Y.;Muhammad, Taseer;...

通讯作者：

Khan, Muhammad Altaf

作者机构：

[Zhang, Xiao-Hong] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

[Ali, Aatif; Islam, Saeed] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Khyber Pakhtunk, Pakistan.

[Khan, Muhammad Altaf] Univ Free State, Inst Ground Water Studies, Fac Nat & Agr Sci, Bloemfontein, South Africa.

[Alshahrani, Mohammad Y.] King Khalid Univ, Dept Clin Lab Sci, Coll Appl Med Sci, POB 61413, Abha 9088, Saudi Arabia.

[Muhammad, Taseer] King Khalid Univ, Dept Math, Coll Sci, Abha 61413, Saudi Arabia.

通讯机构：

[Khan, Muhammad Altaf] U

Univ Free State, Inst Ground Water Studies, Fac Nat & Agr Sci, Bloemfontein, South Africa.

语种：

英文

期刊：

Discrete Dynamics in Nature and Society

ISSN：

1026-0226

年：

2021

卷：

2021

DOI：

10.1155/2021/9512371

基金类别：

King Khalid University, Saudi Arabia [78]

机构署名：

本校为第一机构

院系归属：

理学院

摘要：

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 mode...

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

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