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Investigation of fractional order tuberculosis (TB) model via Caputo derivative

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  • Ullah, Ihsan
  • Ahmad, Saeed
  • Rahman, Mati ur
  • Arfan, Muhammad

Abstract

In this article, we investigate the dynamics of Tuberculosis-(TB) with the help of fractional order model. To obtain the numerical results, we use the Laplace transform with Adomian decomposition method (LADM) and Homotopy perturbation method (HPM). Both the obtained numerical solutions are compared with each other. The concerned results are simulated corresponding to some real data for various fractional order, using Matlab. The simulations show the suitability of the considered Tuberculosis-(TB).

Suggested Citation

  • Ullah, Ihsan & Ahmad, Saeed & Rahman, Mati ur & Arfan, Muhammad, 2021. "Investigation of fractional order tuberculosis (TB) model via Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308717
    DOI: 10.1016/j.chaos.2020.110479
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    References listed on IDEAS

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    1. Shah, Kamal & Alqudah, Manar A. & Jarad, Fahd & Abdeljawad, Thabet, 2020. "Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    5. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    6. Tuan, Nguyen Huy & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A mathematical model for COVID-19 transmission by using the Caputo fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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    Cited by:

    1. Daşbaşı, Bahatdin, 2023. "Fractional order bacterial infection model with effects of anti-virulence drug and antibiotic," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Kumar, Sunil & Chauhan, R.P. & Momani, Shaher & Hadid, Samir, 2021. "A study of fractional TB model due to mycobacterium tuberculosis bacteria," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    3. Arshad, Sadia & Siddique, Imran & Nawaz, Fariha & Shaheen, Aqila & Khurshid, Hina, 2023. "Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    4. Qu, Haidong & Rahman, Mati ur & Ahmad, Shabir & Riaz, Muhammad Bilal & Ibrahim, Muhammaad & Saeed, Tareq, 2022. "Investigation of fractional order bacteria dependent disease with the effects of different contact rates," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    5. El-Mesady, A. & Elsonbaty, Amr & Adel, Waleed, 2022. "On nonlinear dynamics of a fractional order monkeypox virus model," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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