In this paper, we formulate an age-space-structured HIV infection model that incorporating infection age, multiple target cells, and nonlocal dispersal. Applying the characteristic line method, we reduce the infection-age model to a delayed integro-differential system. The global well-posedness and boundedness of the semiflow for the system are established. The principal eigenvalue of the nonlocal dispersal problem is formulated, and it plays the same role as the basic reproduction number \(R_0\) (the spectral radius of the next generation operator), which determines the global behavior of the steady states of the system. More precisely, the infection-free steady state is globally asymptotically stable (g.a.s) when \(R_0<1\), the virus is always present and the infected steady state is g.a.s when \(R_0>1\). Numerical simulations are carried out reinforcing these analytical results. In particular, three different kernel functions are given out to study the impact of dispersal form on the HIV infection within the host. Finally, our simulation works show that (i) increasing the dispersal rate and decreasing the intracellular delay will be increasing the final viral loads; (ii) the dispersal kernel function affects the value of \(R_0\) and the final viral loads, and it is revealed that the dispersal form plays a crucial role in the process of HIV infection within the host.

在本文中，我们制定了一个年龄结构的HIV感染模型，该模型结合了感染年龄，多个目标细胞和非局部扩散。应用特征线法，我们将感染年龄模型简化为一个延迟的积分-差分系统。建立了系统半流的全局适定性和有界性。公式化了非局部色散问题的主要特征值，它与基本再现数\（R_0 \）（下一代算子的谱半径）起着相同的作用，它决定了系统稳态的全局行为。更准确地说，当\（R_0 <1 \）时，无感染稳态是全局渐近稳定的（气体），病毒始终存在，并且当\（R_0> 1 \）时，感染的稳定状态为gas 。进行数值模拟以增强这些分析结果。特别是，给出了三种不同的内核函数来研究分散形式对宿主内HIV感染的影响。最后，我们的模拟工作表明：（i）增加分散速率和减少细胞内延迟将增加最终病毒载量；（ii）分散核功能影响\（R_0 \）的值和最终病毒载量，并且揭示了分散形式在宿主体内HIV感染过程中起关键作用。