Theory and Modern Applications
Version | 1(dnn) | 3(nnd), 7(ddd) | 5(dnd) | 6(ndd) | ||
---|---|---|---|---|---|---|
Range of \(R_{0}\) | \(1 < R_{0} < 3\) | \(R_{0} > 1\) | \(R_{0} > 1\) | \(R_{0} > 3\) | ||
\(R_{0}\) | 1.1 | 2.9 | 2.9 | 2.9 | 3.5 | |
ρ | 0.00405 | −0.00405 | 0 | 0.0045 | −0.0045 | |
η | 0.0045 | 0.0045 | 0.0086 | 0.0131 | 0.0068 | |
DDE | ||||||
\(\tau _{c}\) | 229.94 | 1371.68 | 183.72 | 99.492 | 457.26 | |
\(\phi _{c}\) | 1.962e−3 | 1.962e−3 | 8.550e−3 | 0.01225 | 5.031e−3 | |
\(\frac{d\mu }{d\tau } \vert _{\tau _{c}}\) | 1.848e−5 | 7.663e−8 | 2.108e−5 | 8.381e−5 | 1.729e−6 | |
Discrete | ||||||
\(\tau _{c}\) | m = 22 | 229.58 | 1183.78 | 179.60 | 98.25 | 426.73 |
m = 23 | 229.60 | 1191.27 | 179.78 | 98.31 | 428.01 | |
\(\omega _{c}\) | m = 22 | 0.02005 | 0.1194 | 0.06981 | 0.05417 | 0.10219 |
m = 23 | 0.01920 | 0.1143 | 0.06684 | 0.05187 | 0.09785 | |
\(\frac{dr}{d\tau } \vert _{\tau _{c}}\) | m = 22 | 8.466e−6 | 5.153e−7 | 8.693e−6 | 1.763e−5 | 2.401e−6 |
m = 23 | 7.760e−6 | 4.690e−7 | 7.959e−6 | 1.615e−5 | 2.193e−6 | |
\(\Re [e^{-i\omega _{c}}c_{1} (\tau _{c} ) ]\) | m = 22 | 0.3454 | 0.6627 | (3) −0.0371 | −0.0222 | −0.5919 |
(7) −0.2868 | ||||||
m = 23 | 0.3317 | 0.6377 | (3) −0.0355 | −0.0212 | −0.5667 | |
(7) −0.2745 |