ABSTRACT

Basic reproduction number ${\mathcal{R}}_0$ in network epidemic dynamics is studied in the case of stochastic regime-switching networks. For generality, the dependence between successive networks is considered to follow a continuous time semi-Markov chain. ${\mathcal{R}}_0$ is the weighted average of the basic reproduction numbers of deterministic subnetworks. Its position with respect to 1 can determine epidemic persistence or extinction in theories and simulations.

中文翻译：

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半马尔可夫交换网络中的基本再生数

摘要

基本再生数 ${\mathcal{电阻}}_0$在随机制度切换网络的情况下研究网络流行动态。一般而言，连续网络之间的依赖被认为遵循连续时间半马尔可夫链。${\mathcal{电阻}}_0$是确定性子网络的基本再生数的加权平均值。它相对于 1 的位置可以在理论和模拟中确定流行病的持续性或灭绝性。