A Network Immuno-Epidemiological HIV Model
A Network Immuno-Epidemiological HIV Model
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DOI：
10.1007/s11538-020-00855-3
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发表时间：
2021-03-01
影响因子：
3.5
通讯作者：
Martcheva, Maia
中科院分区：
文献类型：
--
作者：
Gupta, Churni;Tuncer, Necibe;Martcheva, Maia
在本文中，我们建立了一个多尺度嵌套免疫流行病学模型的艾滋病病毒的复杂网络。该系统是由常微分方程与偏微分方程耦合。首先证明了免疫模型的存在唯一性，然后建立了多尺度模型的适定性。本文给出了免疫流行病模型的基本再生数R 0的一个显式表达式。该系统存在一个无病平衡点和一个地方病平衡点。当R 01时，无病平衡是全局稳定的。数值模拟表明，R 0随着网络中节点数量的增加而增加。此外，我们发现，对于一个无标度网络的感染个体的数量在平衡是一个驼峰状的函数的内宿主繁殖数;然而，相关性变得单调，如果网络主要是低连接节点或高连接节点。
In this paper we formulate a multi-scale nested immuno-epidemiological model of HIV on complex networks. The system is described by ordinary differential equations coupled with a partial differential equation. First, we prove the existence and uniqueness of the immunological model and then establish the well-posedness of the multi-scale model. We derive an explicit expression of the basic reproduction number R0 of the immuno-epidemiological model. The system has a disease-free equilibrium and an endemic equilibrium. The disease-free equilibrium is globally stable when R01. Numerical simulations suggest that R0 increases as the number of nodes in the network increases. Further, we find that for a scale-free network the number of infected individuals at equilibrium is a hump-like function of the within-host reproduction number; however, the dependence becomes monotone if the network has predominantly low connectivity nodes or high connectivity nodes.