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首页> 外文期刊>Mathematical Biosciences: An International Journal >Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics
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Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics

机译：连接宿主内部和宿主之间动态的感染年龄结构性HIV-1模型的整体稳定性

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Although much evidence shows the inseparable interaction between the within-host progression of HIV-1 infection and the transmission of the disease at the population level, few models coupling the within-host and between-host dynamics have been developed. In this paper, we adopt the nested approach, viewing the transmission rate at each stage (primary, chronic, and AIDS stage) of HIV-1 infection as a saturated function of the viral load, to formulate an infection-age structured epidemic model. We explicitly link the individual and the host population scale, and derive the basic reproduction number R-0 for the coupled system. To analyze the model and perform a detailed global dynamics analysis, two Lyapunov functionals are constructed to prove the global asymptotical stability of the disease-free and endemic equilibria. Theoretical results indicate that R-0 provides a threshold value determining whether or not the disease dies out. Numerical simulations are presented to quantitatively investigate the influence of the within-host viral dynamics on between-host transmission dynamics. The results suggest that increasing the effectiveness of inhibitors can decrease the basic reproduction number, but can also increase the overall infected population because of a lower disease-induced mortality rate and a longer lifespan of HIV infected individuals. (C) 2015 Elsevier Inc. All rights reserved.
机译：尽管大量证据表明，HIV-1感染的宿主内部进展与疾病在人群水平上的传播之间存在着密不可分的相互作用，但很少有人开发出耦合宿主内部和宿主之间动态的模型。在本文中，我们采用嵌套方法，将HIV-1感染各个阶段（主要，慢性和AIDS阶段）的传播率视为病毒载量的饱和函数，以建立感染年龄结构的流行病模型。我们明确地将个体和宿主种群规模联系起来，并得出耦合系统的基本繁殖数R-0。为了分析该模型并进行详细的全局动力学分析，构建了两个Lyapunov函数，以证明无病和地方病平衡的全局渐近稳定性。理论结果表明，R-0提供了确定疾病是否消亡的阈值。提出了数值模拟以定量研究宿主内部病毒动力学对宿主之间传播动力学的影响。结果表明，提高抑制剂的有效性可以减少基本繁殖数量，但是由于较低的疾病诱发死亡率和更长的HIV感染者寿命，也可以增加总感染人群。 （C）2015 Elsevier Inc.保留所有权利。

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