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Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions

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  • Xu, Changjin
  • Liu, Zixin
  • Pang, Yicheng
  • Akgül, Ali
  • Baleanu, Dumitru

Abstract

In this study, we analyse the behaviour of the coinfection of the HIV-TB model using a piecewise operator in the classical-Caputo sense. For the aforementioned disease model, we present the existence as well as the uniqueness of a solution having a piecewise derivative. We also study the different versions of stability using Ulam–Hyers stability in nonlinear analysis. We use the piecewise Newton polynomial technique to obtain an approximation of the solution to the proposed problem. The simulations for the suggested coinfection model are presented. The simulations are carried out for the disease-free as well as endemic equilibrium. Additionally, the comparison between the simulated and real data is presented, where we obtain the best-fitted dynamics of the infected class with TB.

Suggested Citation

  • Xu, Changjin & Liu, Zixin & Pang, Yicheng & Akgül, Ali & Baleanu, Dumitru, 2022. "Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s096007792201058x
    DOI: 10.1016/j.chaos.2022.112879
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    References listed on IDEAS

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    1. Rosa, Silvério & Torres, Delfim F.M., 2018. "Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 142-149.
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    6. Xu, Changjin & Liu, Zixin & Pang, Yicheng & Saifullah, Sayed & Inc, Mustafa, 2022. "Oscillatory, crossover behavior and chaos analysis of HIV-1 infection model using piece-wise Atangana–Baleanu fractional operator: Real data approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    8. Rubayyi T. Alqahtani & Shabir Ahmad & Ali Akgül, 2021. "Mathematical Analysis of Biodegradation Model under Nonlocal Operator in Caputo Sense," Mathematics, MDPI, vol. 9(21), pages 1-21, November.
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    Cited by:

    1. Leonardo Juan Ramirez Lopez & Sandra Catalina Correa Herrera & José Arturo Lagos Sandoval, 2023. "New Physical–Mathematical Analysis of Cardiac Dynamics and Temperature for the Diagnosis of Infectious Disease," Mathematics, MDPI, vol. 11(15), pages 1-12, August.
    2. Kumar, Ajay & Kumar, Sunil & Momani, Shaher & Hadid, Samir, 2024. "A chaos study of fractal–fractional predator–prey model of mathematical ecology," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 857-888.
    3. Baleanu, Dumitru & Hasanabadi, Manijeh & Mahmoudzadeh Vaziri, Asadollah & Jajarmi, Amin, 2023. "A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Huang, Song & Liu, Zhijun & Wang, Lianwen, 2024. "Backward bifurcation and optimal control problem for a tuberculosis model incorporating LTBI detectivity and exogenous reinfection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1104-1123.

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