Theory and Modern Applications
Table 2 The variation of \(\Re _{1}\) and \(\Re _{2}\) with respect to the delay parameters
From: Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity
Delay parameters | \(\Re _{1}\) | \(\Re _{2}\) |
|---|---|---|
\(\ell _{1}=\ell _{2}=\ell _{3}=\ell _{4}=\ell _{5}=\ell _{6}=0\) | 2.790 | 3.690 |
\(\ell _{1}=0.3\), \(\ell _{2}=0.4\), \(\ell _{3}=0.5\), \(\ell _{4}=0.6\), \(\ell _{5}=0.7\), and \(\ell _{6}=0.8\) | 1.408 | 1.787 |
\(\ell _{1}=0.4\), \(\ell _{2}=0.5\), \(\ell _{3}=0.6\), \(\ell _{4}=0.7\), \(\ell _{5}=0.8\), and \(\ell _{6}=0.9\) | 1.280 | 1.600 |
\(\ell _{1}=0.6\), \(\ell _{2}=0.7\), \(\ell _{3}=0.8\), \(\ell _{4}=0.9\), \(\ell _{5}=1\), and \(\ell _{6}=1.2\) | 1.009 | 1.283 |
\(\ell _{1}=1\), \(\ell _{2}=1.5\), \(\ell _{3}=2\), \(\ell _{4}=2.5\), \(\ell _{5}=3\), and \(\ell _{6}=3.5\) | 0.368 | 0.173 |
\(\ell _{1}=2\), \(\ell _{2}=3\), \(\ell _{3}=4\), \(\ell _{4}=5\), \(\ell _{5}=6\), and \(\ell _{6}=7\) | 0.188 | 0.008 |
\(\ell _{1}=3\), \(\ell _{2}=4\), \(\ell _{3}=5\), \(\ell _{4}=6\), \(\ell _{5}=7\), and \(\ell _{6}=8\) | 0.136 | 0.003 |
\(\ell _{1}=4\), \(\ell _{2}=6\), \(\ell _{3}=8\), \(\ell _{4}=9\), \(\ell _{5}=10\), and \(\ell _{6}=11\) | 0.072 | 0.1 × 10−3 |
\(\ell _{1}=6\), \(\ell _{2}=7\), \(\ell _{3}=9\), \(\ell _{4}=10\), \(\ell _{5}=11\), and \(\ell _{6}=12\) | 0.052 | 0.3 × 10−4 |
\(\ell _{1}=10\), \(\ell _{2}=11\), \(\ell _{3}=12\), \(\ell _{4}=13\), \(\ell _{5}=14\), and \(\ell _{6}=15\) | 0.016 | 1.2 × 10−6 |