Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2021-01-21 , DOI: 10.1016/j.chaos.2020.110422 N.H. AlShamrani
This paper proposes and analyzes an adaptive immunity HIV infection model. The model describes the interaction between healthy CDT cells, silent (latent) infected cells, active infected cells, free HIV particles, Cytotoxic T lymphocytes (CTLs) and antibodies. The healthy CDT cells can be infected when they are contacted by one of the following: (i) free HIV particles, and this is known as virus-to-cell (VTC) transmission (ii) silent infected cells, and we call this mode of infection as silent HIV-infected cell-to-cell (CTC) transmission, and (iii) active infected cells, and we call this mechanism active HIV-infected CTC transmission. The incidence rates of the healthy CDT cells with free HIV particles, silent infected cells, and active infected cells are given by general functions. Moreover, the production/proliferation and removal/death rates of all compartments are represented by general functions. The model is an improvement of the existing HIV infection models which have neglected the incidence between the silent infected cells and healthy CDT cells. We first show that the model is well-posed. Then, we show that the model has five equilibria and their existence are governed by five threshold parameters. Under a set of conditions on the general functions and the threshold parameters, we have proven the global asymptotic stability of all equilibria by using Lyapunov’s method. We have illustrated the theoretical results via numerical simulations. We have studied the effect of CTC transmission on the dynamical behavior of the system. We have shown that inclusion of CTC transmission decreases the concentration of the healthy CD4 T cells and increases the concentrations of the infected cells and free HIV particles.
中文翻译:
具有无声感染的细胞间传播的一般适应性免疫HIV感染模型的稳定性
本文提出并分析了一种适应性免疫HIV感染模型。该模型描述了健康CD之间的相互作用T细胞,沉默(潜伏)感染细胞,活跃感染细胞,游离HIV颗粒,细胞毒性T淋巴细胞(CTL)和抗体。健康的CDT细胞与下列其中一种接触时可以被感染:(i)游离的HIV颗粒,这被称为病毒对细胞(VTC)的传播(ii)沉默的被感染细胞,我们称这种感染方式作为沉默的HIV感染细胞间(CTC)传播,以及(iii)活跃的感染细胞,我们称这种机制为HIV感染的CTC活跃传播。健康CD的发生率具有游离HIV颗粒的T细胞,沉默感染的细胞和活性感染的细胞由一般功能提供。而且,所有隔室的产生/增殖和去除/死亡速率由一般功能表示。该模型是对现有HIV感染模型的改进,该模型已忽略了沉默感染细胞与健康CD之间的发生率T细胞。我们首先证明该模型是正确的。然后,我们证明该模型具有五个平衡点,并且它们的存在由五个阈值参数控制。在通用函数和阈值参数的一组条件下,我们使用Lyapunov方法证明了所有平衡点的全局渐近稳定性。我们已经通过数值模拟说明了理论结果。我们已经研究了CTC传输对系统动态行为的影响。我们已经表明,包含四氯化碳传播会降低健康CD4的浓度 T细胞并增加了感染细胞和游离HIV颗粒的浓度。