School of Mathematical Science, Harbin Normal University, Harbin, People's Republic of China.
Center for Applied Mathematics, Guangzhou University, Guangzhou, People's Republic of China.
J Biol Dyn. 2020 Dec;14(1):802-825. doi: 10.1080/17513758.2020.1836272.
In this paper, we propose and analyse a delayed HIV-1 model with both viral and cellular transmissions and virus waning. We obtain the threshold dynamics of the proposed model, characterized by the basic reproduction number . If , the infection-free steady state is globally asymptotically stable; whereas if , the system is uniformly persistent. When the delays are positive, we show that the intracellular delays in both viral and cellular infections may lead to stability switches of the infected steady state. Both analytical and numerical results indicate that if the effect of cell-to-cell transmission is ignored, then the risk of HIV-1 infection will be underestimated. Moreover, the viral load of model without virus waning is higher than the one of model with virus waning. These results highlight the important role of two ways of viral transmission and virus waning on HIV-1 infection.
在本文中，我们提出并分析了一个带有病毒和细胞传播以及病毒衰减的延迟 HIV-1 模型。我们得到了所提出模型的阈值动态，其特征在于基本繁殖数 。如果 ，则无感染的稳定状态是全局渐近稳定的；而如果 ，则系统是一致持久的。当延迟为正时，我们表明病毒和细胞感染中的细胞内延迟可能导致感染稳定状态的稳定性转换。分析和数值结果都表明，如果忽略细胞间传播的作用，那么 HIV-1 感染的风险将会被低估。此外，没有病毒衰减的模型的病毒载量高于具有病毒衰减的模型的病毒载量。这些结果强调了两种病毒传播方式和病毒衰减对 HIV-1 感染的重要作用。
