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


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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