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Theory and Modern Applications

Table 2 Values of disease-free equilibrium at different time periods

From: A non-integer order dengue internal transmission model

 

Values of disease-free 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.

4.265

6.597

10.37

16.02

Bin. coeff.

4.265

4.398

4.491

4.514

GL coeff.

4.265

4.398

4.491

4.514

Infected

    

Adams.

6.181 × 10−12

0.004913

0.01693

0.0454

Bin. coeff.

2.034 × 10−17

0.0002202

4.194 × 10−5

1.639 × 10−5

GL coeff.

2.048 × 10−17

0.000225

4.365 × 10−5

1.742 × 10−5

Free Virus

    

Adams.

3.334 × 10−11

0.02707

0.093

0.2486

Bin. coeff.

1.112 × 10−16

0.001204

0.0002293

8.971 × 10−5

GL coeff.

1.12 × 10−16

0.00123

0.0002386

9.533 × 10−5

 

Values of disease-free 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.

4.271

7.565

12.68

19.93

Bin. coeff.

4.271

4.593

4.798

4.842

GL coeff.

4.271

4.593

4.798

4.843

Infected

    

Adams.

1.678 × 10−10

0.00964

0.03389

0.0938

Bin. coeff.

3.055 × 10−12

0.0004264

7.839 × 10−5

2.973 × 10−5

GL coeff.

3.067 × 10−12

0.0004357

8.15 × 10−5

3.16 × 10−5

Free Virus

    

Adams.

9.045 × 10−10

0.05296

0.1857

0.5125

Bin. coeff.

1.67 × 10−11

0.002331

0.0004286

0.0001627

GL coeff.

1.677 × 10−11

0.002381

0.000446

0.0001729

 

Values of disease-free 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.

4.307

8.69

15.15

23.73

Bin. coeff.

4.307

4.982

5.31

5.331

GL coeff.

4.306

4.981

5.31

5.332

Infected

    

Adams.

5.115 × 10−9

0.0169

0.0611

0.1751

Bin. coeff.

3.895 × 10−9

0.0007376

0.0001308

4.809 × 10−5

GL coeff.

3.902 × 10−9

0.0007536

0.0001361

5.112 × 10−5

Free Virus

    

Adams.

2.787 × 10−8

0.09263

0.3342

0.955

Bin. coeff.

2.129 × 10−8

0.004032

0.0007151

0.0002632

GL coeff.

2.133 × 10−8

0.004118

0.0007442

0.0002797