Research Article
Stability Analysis of Mathematical Model including Pathogen-Specific Immune System Response with Fractional-Order Differential Equations
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 |
| | Growth rate of the tumor | Day−1 | 2.4 | 2.4 | 2.4 | | Carrying capacity of the tumor | Cells | 1 | 10 | 5 | | Maximum killing rate of the tumor by immune cells | Day−1 | 4 | 4 | 4 | | Immune cells for half maximum effect on the tumor | Cell−1·day−1 | 0.2 | 4 | 1 | | The effect of capture rate of immune cells | Day−1 | 3.98 | 3.9 | 3.9 | | 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 | | Natural death rate of immune cells | Day−1 | 1.99 | 1 | 1 | | Fractional-order of the first equation in (16) | A rational number in the interval | 0.9 | 0.8 | 0.8 | | Fractional-order of the second equation in (16) | A rational number in the interval | 0.75 | 0.6 | 0.6 |
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