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首页> 外文期刊>Applied Mathematical Modelling >Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains
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Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains

机译：两种感染途径的艾滋病毒感染模型的动态及两种病毒菌株的进化竞争

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摘要

The existing combination therapy of HIV antiretroviral drugs can lead to the emergence of drug-resistant viruses, and cannot effectively block direct cell-to-cell infections, these factors results in incomplete virus suppression and increased risk of disease progression. In this paper, we formulate an HIV model with two strains representing a drug-sensitive virus and a drug-resistant virus to study the joint mechanism of drug resistance. We first reduce the infection-age model to a system of integro-differential equations with infinite delays. Then the stability of the equilibria and the dynamics of competition between two viruses are studied to illuminate the joint effects of infection-age and two infection routes on the evolution of both drug-sensitive and drug-resistant strains before and during drug treatment. Applying a persistence theorem for infinite dimensional systems, we obtain that the disease is always present when the basic reproduction number is larger than unity. Numerical simulations confirm that the basic reproduction numbers and mutation coefficient are the key threshold parameters for determining the competition results of the two viral strains and indicate the cell-to-cell transmission increases the likelihood that HIV breaks out within the host. Finally, sensitivity analyses suggest that the available combination therapy should be taken once symptoms of resistance appear during drug treatment, and demonstrate that the presence of cell-to-cell transmission attenuates the efficacy of the existing antiretroviral drug treatments.
机译：HIV抗逆转录病毒药物的现有联合治疗可以导致耐药病毒的出现，不能有效阻断直接细胞对细胞感染，导致病毒抑制不完全和疾病进展的风险增加。在本文中，我们配制了具有两种菌株的HIV模型，代表药物敏感病毒和抗药性病毒，以研究耐药性的关节机制。我们首先将感染年龄模型减少到具有无限延迟的积分微分方程的系统。然后，研究了两种病毒之间匹配的稳定性和竞争的动态，以照亮药物治疗前后药物敏感和耐药菌株的进化的关节效应和两种感染途径。应用无限尺寸系统的持久性定理，当基本再现数大于Unity时，我们将始终存在该疾病。数值模拟证实基本再现数和突变系数是用于确定两种病毒株的竞争结果的关键阈值参数，并表明细胞 - 细胞传输增加了艾滋病在主机内突破的可能性。最后，敏感性分析表明，一旦药物治疗期间出现抗性症状，应采取可用的组合治疗，并证明细胞对细胞传播的存在减轻了现有的抗逆转录病毒药物治疗的功效。

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