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Theory and Modern Applications

Table 3 Values of endemic equilibrium at different time periods

From: A non-integer order dengue internal transmission model

 

Values of endemic equilibrium in 100 days

\(\boldsymbol{\gamma_{i} =1}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.95}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.90}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.85}\) , i  = 1,2,3

Susceptible

    

Adams.

0.5313

0.5185

0.5066

0.4969

Bin. coeff.

0.5313

0.5266

0.5241

0.5239

GL coeff.

0.5313

0.5264

0.5237

0.5233

Infected

    

Adams.

1.743

2.612

4.006

6.139

Bin. coeff.

1.743

1.757

1.763

1.761

GL coeff.

1.743

1.758

1.765

1.762

Free Virus

    

Adams.

10.5

15.74

24.14

37.01

Bin. coeff.

10.5

10.58

10.62

10.61

GL coeff.

10.5

10.59

10.63

10.62

 

Values of endemic equilibrium in 75 days

\(\boldsymbol{\gamma_{i} =1}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.95}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.90}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.85}\) , i  = 1,2,3

Susceptible

    

Adams.

0.5313

0.501

0.4817

0.4696

Bin. coeff.

0.5313

0.5159

0.5068

0.5034

GL coeff.

0.5313

0.5152

0.5055

0.5018

Infected

    

Adams.

1.743

3.235

5.547

8.951

Bin. coeff.

1.743

1.791

1.818

1.824

GL coeff.

1.743

1.793

1.822

1.829

Free Virus

    

Adams.

10.5

19.5

33.44

53.97

Bin. coeff.

10.5

10.79

10.96

10.99

GL coeff.

10.5

10.81

10.98

11.02

 

Values of endemic equilibrium in 60 days

\(\boldsymbol{\gamma_{i} =1}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.95}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.90}\) , i  = 1,2,3

\(\boldsymbol{\gamma_{i} =0.85}\) , i  = 1,2,3

Susceptible

    

Adams.

0.5313

0.5104

0.4945

0.4833

Bin. coeff.

0.5313

0.5222

0.5168

0.5153

GL coeff.

0.5313

0.5217

0.516

0.5142

Infected

    

Adams.

1.743

2.961

4.761

7.528

Bin. coeff.

1.743

1.771

1.786

1.786

GL coeff.

1.743

1.773

1.788

1.790

Free Virus

    

Adams.

10.5

17.57

28.7

45.39

Bin. coeff.

10.5

10.67

10.76

10.76

GL coeff.

10.5

10.68

10.78

10.78