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Tuberculosis with relapse: A model

Author

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  • Yali Yang
  • Jianhong Wu
  • Jianquan Li
  • Xiaxia Xu

Abstract

In a model of tuberculosis with relapse, the basic reproduction number R0 includes new and relapse infections. Lyapunov functions help to prove that the global dynamic is completely determined by R0. Replicated Latin hypercube sampling shows that early diagnosis and treatment are more efficient when relapse cases are considered.

Suggested Citation

  • Yali Yang & Jianhong Wu & Jianquan Li & Xiaxia Xu, 2017. "Tuberculosis with relapse: A model," Mathematical Population Studies, Taylor & Francis Journals, vol. 24(1), pages 3-20, January.
    • Handle: RePEc:taf:mpopst:v:24:y:2017:i:1:p:3-20
    DOI: 10.1080/08898480.2014.998550
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    Cited by:

    1. Zafar, Zain Ul Abadin & Zaib, Sumera & Hussain, Muhammad Tanveer & Tunç, Cemil & Javeed, Shumaila, 2022. "Analysis and numerical simulation of tuberculosis model using different fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Altaf Khan, Muhammad & Ullah, Saif & Farooq, Muhammad, 2018. "A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 227-238.

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