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.

ParametersDescriptionsUnitsValues
For Figure 2For Figure 3For Figure 4

Growth rate of the tumorDay−12.42.42.4
Carrying capacity of the tumorCells1105
Maximum killing rate of the tumor by immune cellsDay−1444
Immune cells for half maximum effect on the tumorCell−1·day−10.241
The effect of capture rate of immune cellsDay−13.983.93.9
The tumor population size at which the growth rate of immune cells is half its maximumCell−1·day−11.91.91.9
Natural death rate of immune cellsDay−11.9911
Fractional-order of the first equation in (16)A rational number in the interval 0.90.80.8
Fractional-order of the second equation in (16)A rational number in the interval 0.750.60.6