This paper studies the global stability of discrete-time viral infection models with humoural immunity. We consider both latently and actively infected cells. We study also a model with general production and clearance rates of all compartments as well as general incidence rate of infection. We use nonstandard finite difference method to discretize the continuous-time models. The positivity and boundedness of solutions of the discrete models are established. We establish by using Lyapunov method, the global stability of equilibria in terms of the basic reproduction number $R_0$ and the humoural immune response activation number $R_1$. The results signify that the infection dies out if $R_0\le 1$. Moreover, the infection persists with inactive immune response if $R_1\le 1<R_0$ and with active immune response if $R_1>1$. We illustrate our theoretical results by using numerical simulations.

本文研究了具有体液免疫力的离散时间病毒感染模型的整体稳定性。我们考虑潜伏和主动感染的细胞。我们还研究了一个模型，该模型具有所有隔间的一般产生率和清除率以及一般感染率。我们使用非标准有限差分法离散连续时间模型。建立了离散模型解的正性和有界性。我们用李雅普诺夫方法建立了以基本繁殖数表示的均衡的全局稳定性${\mathrm{[R}}_0$ 和体液免疫反应激活数 ${\mathrm{[R}}_{\mathrm{1个}}$。结果表明，如果${\mathrm{[R}}_0\le \mathrm{1个}$。此外，如果${\mathrm{[R}}_{\mathrm{1个}}\le \mathrm{1个}<{\mathrm{[R}}_0$ 并具有主动免疫反应 ${\mathrm{[R}}_{\mathrm{1个}}>\mathrm{1个}$。我们通过使用数值模拟来说明理论结果。