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In this paper, a mathematical model was proposed to deal with the …


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Biology Articles » Biomathematics » A mathematical model for the burden of diabetes and its complications » Tables

Tables
- A mathematical model for the burden of diabetes and its complications

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Table 1: Estimated numbers of diabetics (in Million)

Country
 2003
 2025
India
 35.5
 73.5
China
 23.8
 46.1
United States
 16
 23.1
Russia
 9.7
 10.7
Japan
 6.7
 7.1
Germany
 6.3
 7.1
Pakistan
 6.2
 11.6
Brazil
 5.7
 10.7
Mexico
 4.4
 9
Egypt
 3.9
 7.8

 

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Table 2: Parameter vlaues used in numerical experiments
Parameter
 Value yr-1
ν
 0.05
δ
 0.05
μ
 0.02
γ
 0.08 or 0

 

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Table 3: Fixed point values (× 1O7) for the linear model using different values of l, I = 6 × 107, λ = 0.66


N+
 N+
 C+
 C+
l yr
 Euler
 Method1
 Euler
 Method1
0.01
 6.08
 6.08
 4.75
 4.75
0.02
 6.11
 6.11
 4.77
 4.77
0.05
 6.11
 6.11
 4.7
 4.7
0.1
 6.11
 6.11
 4.7
 4.7
0.2
 6.11
 6.11
 4.7
 4.7
0.5
 6.11
 6.11
 4.7
 4.7
1
 6.11
 6.11
 4.7
 4.7
2
 6.11
 6.11
 4.7
 4.7
2.5
 div
 6.11
 div
 4.7
3
 div
 6.11
 div
 4.7
3.5
 div
 6.11
 div
 4.7
4
 div
 6.11
 div
 4.7
div = divergence of numerical methods.

 

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Table 4: Output of the nine scenarios according to each level of incidence I and complications λ (× 107)
I λ
 L
 M
 H
L
 C = 0.72
 C = 2.18
 C = 4.36

N = 1.36
 N = 4.09
 N = 8.18
M
 C = 0.75
 C = 0.22
 C = 4.55

N = 1.20
 N = 3.6
 N = 7.21
H
 C = 0.79
 C = 2.38
 C = 4.77

N = 1.0
 N = 3.05
 N = 6.11

 

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