Research Article

Dynamic Analysis of a Tumor-Immune System under Allee Effect

Table 1

The definitions and corresponding value of variables in models (2) and (19).

ParameterDefinitionValueSource

Constant source of effector cells0.33[21, 23]
Maximum effector cells recruitment rate by tumor cells0.01[20, 21]
Steepness coefficient of the effector cells recruitment0.3[20, 22]
Effector cells inactivation rate by tumor cells1.0[23, 24]
Death rate of effector cells0.2[20, 29]
Normal cells’ growth rate1.0[20, 25]
Tumor growth rate1.5[26, 27]
Reciprocal of tumor carrying capacity1.0[20, 28]
Reciprocal of normal cells’ carrying capacity1.0[20, 28]
Fractional normal cells killed by tumor cells1.0[23, 24]
Fractional tumor cells killed by effector cells0.5[23, 24]
Inactivation rate of tumor cells owing competition with normal cells1.0[20, 23]
Threshold value of Allee effect