Page 104 - IJOCTA-15-3

Sayed Saber et.al. / IJOCTA, Vol.15, No.3, pp.464-482 (2025)

(a) (b)

(c) (d)
Figure 12. Compared between the 3D phases of (1) illustrated in (a), (b) and the controlled
system (2) illustrated in (c), (d) under JSCSM and MSGDTM for α = 0.97+0.03×tanh(t/10)

Dynamics using Enhanced LRPSM for = 0.97 + 0.03 * tanh(t/10) Dynamics using MSGDTM for = 0.97 + 0.03 * tanh(t/10)
2.2 2.2
Glucose (x) Glucose (x)
2 Insulin (y) 2 Insulin (y)
Beta-cells (z) Beta-cells (z)
1.8 1.8
1.6 1.6
Concentration 1.4 1 Concentration 1.4 1
1.2
1.2
0.8 0.8
0.6 0.6
0.4 0.4
0.2 0.2
0 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100
Time Time
(a) (b)
Dynamics using Enhanced LRPSM for = 0.97 + 0.03 * tanh(t/10) Dynamics using MSGDTM for = 0.97 + 0.03 * tanh(t/10)
4 4
Glucose (x) Glucose (x)
3 Insulin (y) 3 Insulin (y)
Beta-cells (z) Beta-cells (z)
2 2
1 1
Concentration -1 0 Concentration -1 0
-2 -2
-3 -3
-4 -4
-5 -5
0 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100
Time Time
(c) (d)
Figure 13. The time series of (1) shown in (a), (b) and the controlled system (2) shown in
(c), (d) for α = 0.97 + 0.03 × tanh(t/10) under JSCSM and MSGDTM

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