基于CVL的多尺度HIV感染模型分析
Multi-Scale HIV Infection Model Analysis Based on CVL
DOI: 10.12677/AAM.2021.109323, PDF,    科研立项经费支持
作者: 诸 慧：温州科技职业学院公共教学部，浙江 温州；王文星：重庆理工大学理学院，重庆
关键词: HIV病毒；CD4+T细胞；LaSalle不变性原理；全局稳定性；HIV Virus； CD4+T Cells； LaSalle Invariance Principle； Global Stability
摘要: 根据艾滋病在人群中的传播率与个体体内病毒携带变量的关系，通过引入特定社区病毒负载(CVL)，结合微观的宿主内免疫动力学模型和宏观的SIATR流行病模型，建立基于CVL的多尺度HIV感染的动力学模型。借助于LaSalle不变性原理，我们得到了模型的全局稳定性。
Abstract: According to the relationship between HIV transmission rate in the population and the virus carrying variables in individuals, we established a multi-scale HIV infection dynamics model based on CVL by introducing a specific community viral load (CVL) and combining the micro host immunodynamics model with the macro SIATR epidemiological model. Finally, the global stability of the multi-scale HIV model is analyzed by means of LaSalle invariance principle.
文章引用：诸慧, 王文星. 基于CVL的多尺度HIV感染模型分析[J]. 应用数学进展, 2021, 10(9): 3091-3101. https://doi.org/10.12677/AAM.2021.109323

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