Table 1 Parameter values considered for the model

μ

Constant source rate of immune cells

0.05

[1]

\(d_{1}\)

Natural immune cells death rate

0.2

[1]

\(r_{1}\)

Intrinsic tumor growth rate

0.4 (Estimated)

[1]

\(r_{2}\)

Growth rate of normal cell

0.35

[1]

1/b

Tumor population carrying capacity

2/3

[1]

\(m_{1}\)

Immune cells kill rate owing to tumor cells

0.2

[1]

\(m_{2}\)

Tumor cells kill rate owing to immune cells

0.3

[1]

\(h_{1}\)

Tumor cells kill rate owing to normal cells

0.2

[1]

\(h_{2}\)

Normal cells kill rate owing to tumor cells

0.25

[1]

ρ

Maximum recruitment of immune cells by tumor cells

1

[1]

σ

Constant half saturation for the proliferation term

0.4

[1]