Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay

Table 1

Variables and parameters for viral spread.

Variables and meaning parameters		Values
𝑇	Uninfected CD4^+ T-cell population size	1000 mm^−3
𝐼1	Pre-RT	0 mm^−3
𝐼2	Post-RT	0 mm^−3
𝑉1	Infectious virus	10^−3 mm^−3
𝑠	Source term for uninfected CD4^+ T-cell	5 day ^−1 mm^−3
𝑘	Rate at which CD4^+ T-cell becomes infected with virus	0.00005 mm^3 day^−1
𝜇1	Death rate of healthy CD4^+ T-cell	0.01 day^−1
𝜂	Efficacy of RTIs	0.15
𝑎	Transition rate from pre-RT infected CD4^+ T cells to productively post-RT	0.4 day^−1
𝑏	Reverting rate of infected cells to uninfected class	0.05 day^−1
𝑑	Death rate of infected T-cells	0.015 day^−1
𝛿	Death rate of actively infected T-cells𝐼2	0.6 day^−1
𝑁	Number of virions produced by infected CD4^+ T-cells	1000 virions cell^−1
𝑐	Clearance rate of virus	2.4 day^−1
𝑟	Growth rate of T-cells	0.8 day^−1
𝑇max	Carrying capacity of T-cells	1300 mm^3
𝑝	Protease inhibitor efficacy	0.1