Table 1 Used parameters in HIV mathematical model

r

The rate at which the \(CD^{+}_{4} \) T-cells are reproduced.

m

Maximum value of \(CD^{+}_{4} \) T-cells in the absence of the virus.

\(\beta _{1} \)

The rate at which the virus infects the \(CD^{+}_{4} \) T-cells.

\(\beta _{2} \)

The rate at which the \(CD^{+}_{4} \) T-cells are infected by the infected cells.

α

The rate at which the viruses are saturated.

ρ

The cure rate of the infected \(CD^{+}_{4} \) T-cells that reverted to the uninfected T-cells.

d

The death rate of the \(CD^{+}_{4} \) T-cells.

δ

The death rate of the infected \(CD^{+}_{4} \) T-cells.

\(\rho _{1} \)

The rate at which the T-cells kill the infected \(CD^{+}_{4} \) T-cells.

n

Number of viruses produced by the infected \(CD^{+}_{4} \) T-cells.

μ

The death rate of the viruses.

\(\rho _{2} \)

The rate at which the B-cells kill the viruses.

\(c_{1} \)

The rate at which the presence of the infected T-cells activates the T-cells.

\(b_{1} \)

The death rate of the T-cells.

\(c_{2} \)

The rate at which the presence of the virus activates the B-cells.

\(b_{2} \)

The death rate of the B-cells.