Analysis of an in-host tuberculosis model for disease control

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Abstract

Tuberculosis is still a global threat to humans. In this letter, we analyzed a four-dimensional with-in host tuberculosis infection model and obtain thresholds for basic reproduction number, forward bifurcation, and backward bifurcation. Global sensitivity analysis provides parameters, which significantly influence the model dynamics. Bifurcation analysis and diagrams show parameter regions for disease elimination, latency, and active disease. Numerical simulations prove analytical results and demonstrate bistable model dynamics.

Original languageEnglish
Article number105983
JournalApplied Mathematics Letters
Volume99
DOIs
StatePublished - Jan 2020

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Keywords

  • 2-dimensional bifurcation diagram
  • Bifurcation analysis
  • Global sensitivity analysis
  • Tuberculosis model

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