Dynamical Properties of Discrete-Time HTLV-I and HIV-1 within-Host Coinfection Model

Infection with human immunodeficiency virus type 1 (HIV-1) or T-lymphotropic I (HTLV-I) both can lead to mortality. CD4+T cells are the target for HTLV-I and HIV-1. In addition, HIV-1 infect macrophages. macrophages play important roles in immune system response. This article develops analyzes a discrete-time co-infection model. The model depicts within-host interaction of six compartments: uninfected cells, HIV-1-infected macrophages, free particles HTLV-I-infected cells. is obtained by discretizing continuous-time via nonstandard finite difference (NSFD) approach. We show that NSFD preserves positivity boundedness model’s solutions. deduce four threshold parameters control existence stability equilibria Lyapunov method used examine global all equilibria. analytical findings supported numerical simulation. be useful when one seeks design optimal treatment schedules using theory.