In this section, we propose a mathematical model of HIV infection which describes two cocirculation populations of target cells, potentially representing CD4+ T cells and macrophages, taking into account the CTL immune response and multiple distributed intracellular delays(5)x ̇i(t)=λi−dixi(t)−βixi(t)v(t), i=1,2,(6)y ̇i(t)=βi∫0hifi(τ)e−miτxi(t−τ)v(t−τ)dτ −ayi(t)−pyi(t)z(t), i=1,2,(7)v ̇(t)=k∫0h3g(τ)e−nτ∑i=12yi(t−τ)dτ−rv(t),(8)z ̇(t)=c∑i=12yi(t)z(t)−bz(t). This evidence concerns the gene CD4 and HIV infectious disease.