Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-20 DOI:10.1137/23m1579522

Haridas K. Das, Lucas M. Stolerman

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引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 2, Page 1579-1609, June 2024.
Abstract.We calculate epidemic thresholds and investigate the dynamics of a disease in a networked metapopulation. To study the specific role of mobility levels, we utilize the SIR-network model and consider a range of network structures. For star-shaped networks where all nodes only connect to a center, we obtain the same epidemic threshold formulas as previously found for fully connected networks, considering all nodes with the same infection rate except one. We thus create a new terminology by saying that fully connected and star-shaped networks have the Standard Threshold Property. Next, we analyze cycle-shaped networks, which yield epidemic thresholds different from those obtained using star-shaped networks. We then analyze more general classes of networks by combining the star, cycle, and other structures, obtaining classes of networks with the Standard Threshold Property. We present some conjectures on even more flexible networks and complete our analysis by presenting simulations to explore the epidemic dynamics for the different structures.

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群体中的流行阈值和疾病动态：网络结构和人类流动性的作用

SIAM 应用动力系统期刊》第 23 卷第 2 期第 1579-1609 页，2024 年 6 月。摘要：我们计算了流行阈值，并研究了一种疾病在网络元种群中的动态变化。为了研究流动水平的具体作用，我们利用 SIR 网络模型并考虑了一系列网络结构。对于所有节点都只连接到一个中心的星形网络，考虑到除一个节点外所有节点的感染率都相同，我们得到了与之前发现的全连接网络相同的流行病阈值公式。因此，我们创造了一个新术语，即全连网络和星形网络都具有标准阈值特性。接下来，我们分析了周期形网络，其流行阈值与星形网络不同。然后，我们结合星形、周期形和其他结构，分析了更多类的网络，得到了具有标准阈值特性的网络类。我们提出了一些关于更灵活网络的猜想，并通过模拟来探索不同结构的流行动态，从而完成我们的分析。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.