To study the impact of two time delays (latency period caused by HIV latency infected cell and viral production period caused by HIV infected cell) on the HIV infection processes in heterogenous environment, an HIV latent infection model with spatial diffusion and non-local infections is derived and investigated in this paper. Applying the definition of the next reproduction operator, we obtain the basic reproduction number $R_0$, which is a threshold value for determining whether the breakout of HIV infection or not. More precisely, the infection-free equilibrium is globally attractive if $R_0<1$ and the infection is uniformly persistent if $R_0>1$. In particular, an explicit formula of ${\tilde{R}}_0$ is obtained in the homogeneous case and the global dynamics of the homogeneous case are also analyzed. The influences of time delays, HAART treatment and infection heterogeneity on HIV infections are discussed via numerical simulations. This work reveals that the use of the spatially averaged parameters may underestimate HIV infection. Therefore, the spatial heterogeneity is a key factor that cannot be ignored when clinical medical staff design the treatment strategies for HIV infection.

为了研究异质环境下两个时间延迟（HIV潜伏感染细胞引起的潜伏期和HIV感染细胞引起的病毒产生期）对HIV感染过程的影响，建立了具有空间扩散和非局部感染的HIV潜伏感染模型。在本文中得出并进行了研究。应用下一个再生算子的定义，我们得到基本再生数${\mathrm{电阻}}_0$，这是判断是否爆发 HIV 感染的阈值。更准确地说，无感染均衡在全球范围内具有吸引力，如果${\mathrm{电阻}}_0<1$ 并且感染是一致的，如果 ${\mathrm{电阻}}_0>1$. 特别是，一个显式的公式${\stackrel{～}{\mathrm{电阻}}}_0$是在齐次情况下获得的，并且还分析了齐次情况的全局动态。通过数值模拟讨论了时间延迟、HAART 治疗和感染异质性对 HIV 感染的影响。这项工作表明，使用空间平均参数可能会低估 HIV 感染。因此，空间异质性是临床医务人员设计HIV感染治疗策略时不可忽视的关键因素。