This paper proposes and analyzes a viral infection model that characterizes the interactions of the viruses, susceptible host cells, n-stages of infected cells, B cells and CTL cells. We consider both virus-to-cell and cell-to-cell transmissions and $n+1$ intracellular distributed time delays. The incidence rate of infection as well as the generation and removal rates of all compartments are described by general nonlinear functions. We derive five threshold parameters which determine the existence of the equilibria of the model under consideration. A set of conditions on the general functions has been established which is sufficient to investigate the global stability of the five equilibria of the model. The global asymptotic stability of all equilibria is proven by utilizing Lyapunov function and LaSalle’s invariance principle. The theoretical results are illustrated by numerical simulations of the model with specific forms of the general functions. Effect of antiviral treatment, time delays and cellular infection on the dynamical behavior of the system is addressed.

本文提出并分析了一种病毒感染模型，该模型表征了病毒，易感宿主细胞，被感染细胞的n阶段，B细胞和CTL细胞之间的相互作用。我们同时考虑病毒到细胞和细胞到细胞的传播，以及$ñ+\mathrm{1个}$细胞内分布的时间延迟。通用的非线性函数描述了感染的发生率以及所有隔室的产生和去除率。我们导出五个阈值参数，这些参数确定了所考虑模型的平衡性。已经建立了一组关于一般功能的条件，足以研究该模型的五个平衡点的整体稳定性。利用Lyapunov函数和LaSalle不变性原理证明了所有平衡点的全局渐近稳定性。理论结果通过具有特定形式的一般函数的模型的数值模拟来说明。解决了抗病毒治疗，时间延迟和细胞感染对系统动力学行为的影响。