Scholarlink

This study presents a deterministic model for tuberculosis transmission in Cameroon’s Adamaoua region, considering both pulmonary and extra-pulmonary cases. Real data from 2015 to 2022 is used to determine the best model, and the model is formulated using integer and fractional-order derivatives. The study demonstrates the existence and uniqueness of solutions, computes the basic reproduction number, \(R_{0}\) , and studies the asymptotic stability of the tuberculosis-free equilibrium point. Through model calibration with real data of the Adamaoua region, we obtain that \(R_{0}=4.1683\) which implies that tuberculosis is endemic in the Adamaoua region. Numerical simulations are performed to validates theoretical results.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Fractional Dynamics and Prediction of the Spread of Tuberculosis in the Adamaoua Region of Cameroon

  • 章节

  • 发表日期：

    2025年

查看全文
  • Hamadjam Abboubakar,
  • Manasse Djouassoum,
  • Sylvain Ardo Gouroudja Banbeto,
  • Joseph Yves Effa

摘要

This study presents a deterministic model for tuberculosis transmission in Cameroon’s Adamaoua region, considering both pulmonary and extra-pulmonary cases. Real data from 2015 to 2022 is used to determine the best model, and the model is formulated using integer and fractional-order derivatives. The study demonstrates the existence and uniqueness of solutions, computes the basic reproduction number, \(R_{0}\) , and studies the asymptotic stability of the tuberculosis-free equilibrium point. Through model calibration with real data of the Adamaoua region, we obtain that \(R_{0}=4.1683\) which implies that tuberculosis is endemic in the Adamaoua region. Numerical simulations are performed to validates theoretical results.