Theory and Modern Applications
Table 4 Basic reproduction number \(R_{0}\) and endemic equilibrium point \(\Lambda _{2}\) for set 2 and \(\tau = 0.035\) 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 | 1.05112 | 7.80868 | 0.479676 | 5.54749 | 2.05462 | 0.939257 | 1.22645 | 0.0100528 |
0.5 | 1.28501 | 6.42222 | 0.460259 | 22.7302 | 8.97247 | 4.30678 | 6.09028 | 0.0597087 |
0.6 | 1.5936 | 5.20667 | 0.447773 | 34.0631 | 14.3929 | 7.27218 | 11.2752 | 0.137503 |
0.7 | 2.00963 | 4.15105 | 0.446238 | 40.6776 | 18.4898 | 9.86124 | 17.0242 | 0.274584 |
0.8 | 2.585 | 3.24442 | 0.465033 | 43.5676 | 21.4267 | 12.0998 | 23.7261 | 0.564907 |
0.9 | 3.4056 | 2.47579 | 0.532295 | 43.5977 | 23.3559 | 14.0136 | 32.0547 | 1.45703 |
1. | 4.62122 | 1.83421 | 0.788711 | 41.513 | 24.4194 | 15.6284 | 43.3057 | 21.6528 |