Stochastic Model for In-Host HIV Dynamics with Therapeutic Intervention

Table 1

(a) Variables for the stochastic model. (b) Parameters for the stochastic model.

(a)

Variable	Description	Initial condition 𝑡=0
𝑋(𝑡)	The concentration of uninfected CD4 cells at time 𝑡	100
𝑌(𝑡)	The concentration of infected CD4 cells at time 𝑡	0.02
𝑉(𝑡)	The concentration of virus particles at time 𝑡	0.001

(b)

Parameter symbol	Parameter description	Estimate
(1−𝛼)	The reverse transcriptase inhibitor drug effect	0.5
(1−𝜔)	The protease inhibitor drug effect	0.5
𝜆	The total rate of production of healthy CD4 cells	10
𝛿	The per capita death rate of healthy CD4 cells	0.02
𝛽	The transmission coefficient between uninfected CD4 cells and infective virus particles	0.000024
𝜅	Per capita death rate of infected CD4 cells	0.5
𝛾	The virus production rate due to risk behaviors	0.001
𝜇	The per capita death rate of infective virus particles	3
𝜌	The death rate of infected but not yet virus producing cell	0.5
𝜏	Time lag during infection	0.5
𝑁	The average number of infective virus particles produced by an infected CD4 cell in the absence of treatment during its entire infectious lifetime	1000