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Theory and Modern Applications

Table 4 The effect of \(q_{1}\) on the values of \(\omega _{0}\) and \(\tau _{0}\) for system (29) when \(q_{2}=0.95\)

From: Bifurcations in a delayed fractional model of glucose–insulin interaction with incommensurate orders

Fractional order \(q_{1}\)

Critical frequency \(\omega _{0}\)

Bifurcation point \(\tau _{0}\)

0.73

0.000119

21,921.541

0.75

0.000193

12,916.565

0.76

0.000235

10,368.426

0.78

0.000330

7083.487

0.81

0.000502

4416.125

0.85

0.000789

2639.034

0.88

0.001050

1897.274

0.92

0.001469

1285.910

0.95

0.001839

988.433

0.98

0.002261

774.341

1

0.002574

663.853