AlShamrani N H
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589 Saudi Arabia.
Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah, 21589 Saudi Arabia.
Adv Differ Equ. 2021;2021(1):270. doi: 10.1186/s13662-021-03416-7. Epub 2021 May 25.
In the literature, several mathematical models have been formulated and developed to describe the within-host dynamics of either human immunodeficiency virus (HIV) or human T-lymphotropic virus type I (HTLV-I) monoinfections. In this paper, we formulate and analyze a novel within-host dynamics model of HTLV-HIV coinfection taking into consideration the response of cytotoxic T lymphocytes (CTLs). The uninfected cells can be infected via HIV by two mechanisms, free-to-cell and infected-to-cell. On the other hand, the HTLV-I has two modes for transmission, (i) horizontal, via direct infected-to-cell touch, and (ii) vertical, by mitotic division of active HTLV-infected cells. It is well known that the intracellular time delays play an important role in within-host virus dynamics. In this work, we consider six types of distributed-time delays. We investigate the fundamental properties of solutions. Then, we calculate the steady states of the model in terms of threshold parameters. Moreover, we study the global stability of the steady states by using the Lyapunov method. We conduct numerical simulations to illustrate and support our theoretical results. In addition, we discuss the effect of multiple time delays on stability of the steady states of the system.
在文献中，已经建立并发展了几个数学模型来描述人类免疫缺陷病毒（HIV）或I型人类嗜T淋巴细胞病毒（HTLV-I）单一感染在宿主体内的动态变化。在本文中，我们建立并分析了一个新的考虑细胞毒性T淋巴细胞（CTL）反应的HTLV-HIV合并感染在宿主体内的动态模型。未感染细胞可通过两种机制被HIV感染，即游离病毒到细胞和已感染细胞到细胞。另一方面，HTLV-I有两种传播模式，（i）水平传播，通过直接的已感染细胞到细胞接触，以及（ii）垂直传播，通过活跃的HTLV感染细胞的有丝分裂。众所周知，细胞内时间延迟在宿主体内病毒动态变化中起重要作用。在这项工作中，我们考虑六种类型的分布时滞。我们研究解的基本性质。然后，我们根据阈值参数计算模型的稳态。此外，我们使用李雅普诺夫方法研究稳态的全局稳定性。我们进行数值模拟以说明和支持我们的理论结果。此外，我们讨论多个时间延迟对系统稳态稳定性的影响。
