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Table 15 Examples of critical delay times \(\pmb{\tau_{c}}\) (days) for Andronov-Hopf bifurcation

From: Andronov-Hopf bifurcation and sensitivity analysis of a time-delay HIV model with logistic growth and antiretroviral treatment

  Set 1 Set 2 Set 3
  \(\boldsymbol{(n_{rt},n_{p})}\) \(\boldsymbol{\tau_{c}}\) \(\boldsymbol{(n_{rt},n_{p})}\) \(\boldsymbol{\tau_{c}}\) \(\boldsymbol{(n_{rt},n_{p})}\) \(\boldsymbol{\tau_{c}}\)
\(R_{0} > 1\) (0.2, 0.3) 15.429 (0.2, 0.3) 216.215 (0.2, 0.3) 14.171
(0.5, 0.5) 16.077 (0.5, 0.5) 216.299 (0.2, 0.4) 26.563
(0.4, 0.6) 16.292 (0.4, 0.6) 216.313 (0.25, 0.4) 44.064
(0.5, 0.6) 19.175 (0.5, 0.6) 216.405 (0.25, 0.43) 132.673
\(R_{0} \approx 1\) (0.575, 0.6) 18.052 (0.633, 0.7) 231.147