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

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Dynamical Systems 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

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.