半马尔可夫交换网络的基本复制数。

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI:10.1080/17513758.2020.1867246

Xiaochun Cao, Zhen Jin, Guirong Liu, Michael Y Li

引用次数: 1

摘要

研究了随机状态交换网络中网络流行病动力学中的基本复制数R0。为了通用性，考虑连续网络之间的依赖遵循连续时间半马尔可夫链。R0是确定性子网的基本复制数的加权平均值。在理论和模拟中，它相对于1的位置可以决定流行病的持续或灭绝。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the basic reproduction number in semi-Markov switching networks.

Basic reproduction number $R_{0}$ 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. $R_{0}$ 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.

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.