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Dynamical behavior analysis of 2-control strategies on tuberculosis model

Author

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  • M Abu Salek
  • Jannatun Nayeem
  • Muhammad Sajjad Hossain
  • M Humayun Kabir

Abstract

We develop and rigorously analyze a deterministic SEITR (Susceptible–Exposed–Infectious–Treated–Recovered) model that incorporates distancing and treatment interventions to examine the transmission dynamics of tuberculosis. The basic reproduction number (R0) is computed and decomposed to determine the threshold conditions for disease persistence. We propose a next-generation matrix formulation to determine the stability of the disease-free state and demonstrate that tuberculosis dies out whenever R0

Suggested Citation

  • M Abu Salek & Jannatun Nayeem & Muhammad Sajjad Hossain & M Humayun Kabir, 2026. "Dynamical behavior analysis of 2-control strategies on tuberculosis model," PLOS Global Public Health, Public Library of Science, vol. 6(6), pages 1-23, June.
    • Handle: RePEc:plo:pgph00:0005875
    DOI: 10.1371/journal.pgph.0005875
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