Stochastic Model for In-Host HIV Dynamics with Therapeutic Intervention

Table 2

Transitions of in-host interaction of HIV.

Possible transitions in host interaction of HIV and immune system cells and corresponding probabilities
Event	Population; (𝑋,𝑌,𝑉) at 𝑡	Population; (𝑋,𝑌,𝑉) at (𝑡,𝑡+Δ)	Probability; of transition
Production of uninfected cell	(𝑥−1,𝑦,𝑣)	(𝑥,𝑦,𝑣)	𝜆Δ𝑡
Death of uninfected cell	(𝑥+1,𝑦,𝑣)	(𝑥,𝑦,𝑣)	𝛿(𝑥+1)Δ𝑡
Infection of uninfected cell	(𝑥+1,𝑦−1,𝑣+1)	(𝑥,𝑦,𝑣)	𝛽(𝑥+1)(𝑣+1)𝑒^−𝜌𝜏Δ𝑡
Production of virons from the bursting infected cell	(𝑥,𝑦+1,𝑣−1)	(𝑥,𝑦,𝑣)	𝜅𝑁(𝑦+1)Δ𝑡
Introduction of virons due to reinfection because of risky behaviour	(𝑥,𝑦,𝑣−1)	(𝑥,𝑦,𝑣)	𝛾Δ𝑡
Death of virons	(𝑥,𝑦,𝑣+1)	(𝑥,𝑦,𝑣)	𝜇(𝑣+1)Δ𝑡