Table 4.
The interpretation and considered values of the parameters in the proposed model.
| Parameters | Descriptions | Units | Values | ||
|---|---|---|---|---|---|
| For Figure 2 | For Figure 3 | For Figure 4 | |||
| β P | Growth rate of the tumor | Day−1 | 2.4 | 2.4 | 2.4 |
| Λ | Carrying capacity of the tumor | Cells | 1 | 10 | 5 |
| c | Maximum killing rate of the tumor by immune cells | Day−1 | 4 | 4 | 4 |
| a | Immune cells for half maximum effect on the tumor | Cell−1·day−1 | 0.2 | 4 | 1 |
| μ | The effect of capture rate of immune cells | Day−1 | 3.98 | 3.9 | 3.9 |
| ν | The tumor population size at which the growth rate of immune cells is half its maximum | Cell−1·day−1 | 1.9 | 1.9 | 1.9 |
| δ | Natural death rate of immune cells | Day−1 | 1.99 | 1 | 1 |
| α 1 | Fractional-order of the first equation in (16) | A rational number in the interval (0,1| | 0.9 | 0.8 | 0.8 |
| α 2 | Fractional-order of the second equation in (16) | A rational number in the interval (0,1| | 0.75 | 0.6 | 0.6 |