Theory and Modern Applications
Table 3 Basic reproduction number \(R_{0}\) and disease-free equilibrium point \(\Lambda _{1}\) for set 1 and \(\tau = 1\) at different values of α
From: Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative
α | \(R_{0}\) | S(t) | V(t) | E(t) | L(t) | I(t) | \(T_{r} ( t )\) | R(t) |
|---|---|---|---|---|---|---|---|---|
0.4 | 0.166286 | 8.05263 | 3.45113 | 0 | 0 | 0 | 0 | 0 |
0.5 | 0.200181 | 8.09737 | 4.04868 | 0 | 0 | 0 | 0 | 0 |
0.6 | 0.24377 | 8.14211 | 4.88526 | 0 | 0 | 0 | 0 | 0 |
0.7 | 0.300758 | 8.18684 | 6.14013 | 0 | 0 | 0 | 0 | 0 |
0.8 | 0.37668 | 8.23158 | 8.23158 | 0 | 0 | 0 | 0 | 0 |
0.9 | 0.480049 | 8.27632 | 12.4145 | 0 | 0 | 0 | 0 | 0 |
1. | 0.624411 | 8.32105 | 24.9632 | 0 | 0 | 0 | 0 | 0 |