Theory and Modern Applications
From: A non-integer order dengue internal transmission model
Values of disease-free equilibrium in 100 days | ||||
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\(\boldsymbol{\gamma_{i} =1}\) , 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 | ||||
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\(\boldsymbol{\gamma_{i} =1}\) , 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 |