Page 101 - IJOCTA-15-3

Application of Jumarie-Stancu collocation series method and multi-Step

(a) (b)

(c) (d)
Figure 6. 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 = 0.98

Dynamics using Enhanced LRPSM for = 0.98 Dynamics using MSGDTM for = 0.98
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 = 0.98 Dynamics using MSGDTM for = 0.98
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 7. The time series of (1) shown in (a), (b) and the controlled system (2) shown in (c),
(d) for α = 1 under JSCSM and MSGDTM

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