基于物理动机的广义随机网络上传播过程传染条件的直接推导。
Direct, physically motivated derivation of the contagion condition for spreading processes on generalized random networks.
作者信息
Dodds Peter Sheridan, Harris Kameron Decker, Payne Joshua L
机构信息
Department of Mathematics and Statistics, The University of Vermont, Burlington, Vermont 05401, USA.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056122. doi: 10.1103/PhysRevE.83.056122. Epub 2011 May 25.
Abstract
For a broad range of single-seed contagion processes acting on generalized random networks, we derive a unifying analytic expression for the possibility of global spreading events in a straightforward, physically intuitive fashion. Our reasoning lays bare a direct mechanical understanding of an archetypal spreading phenomena that is not evident in circuitous extant mathematical approaches.
摘要
对于作用于广义随机网络的广泛的单种子传染过程，我们以一种直接、物理直观的方式推导出了全局传播事件可能性的统一解析表达式。我们的推理揭示了一种典型传播现象的直接力学理解，这在迂回的现有数学方法中并不明显。
相似文献
1
Direct, physically motivated derivation of the contagion condition for spreading processes on generalized random networks.基于物理动机的广义随机网络上传播过程传染条件的直接推导。
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056122. doi: 10.1103/PhysRevE.83.056122. Epub 2011 May 25.
2
Exact solutions for social and biological contagion models on mixed directed and undirected, degree-correlated random networks.混合有向和无向、度相关随机网络上社会和生物传染模型的精确解。
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016110. doi: 10.1103/PhysRevE.84.016110. Epub 2011 Jul 25.
3
Infection patterns in simple and complex contagion processes on networks.网络中简单和复杂传染病过程中的感染模式。
PLoS Comput Biol. 2024 Jun 10;20(6):e1012206. doi: 10.1371/journal.pcbi.1012206. eCollection 2024 Jun.
4
Invasion threshold in structured populations with recurrent mobility patterns.具有复发性迁移模式的结构种群中的入侵阈值。
J Theor Biol. 2012 Jan 21;293:87-100. doi: 10.1016/j.jtbi.2011.10.010. Epub 2011 Oct 19.
5
Stochastic epidemic dynamics on extremely heterogeneous networks.极度异质网络上的随机传染病动力学。
Phys Rev E. 2016 Dec;94(6-1):062408. doi: 10.1103/PhysRevE.94.062408. Epub 2016 Dec 19.
6
Epidemic fronts in complex networks with metapopulation structure.具有集合种群结构的复杂网络中的疫情前沿。
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):012809. doi: 10.1103/PhysRevE.88.012809. Epub 2013 Jul 15.
7
Random migration processes between two stochastic epidemic centers.两个随机流行中心之间的随机迁移过程。
Math Biosci. 2016 Apr;274:45-57. doi: 10.1016/j.mbs.2016.01.011. Epub 2016 Feb 11.
8
Network-based analysis of stochastic SIR epidemic models with random and proportionate mixing.基于网络的具有随机和比例混合的随机SIR传染病模型分析。
J Theor Biol. 2007 Dec 21;249(4):706-22. doi: 10.1016/j.jtbi.2007.09.011. Epub 2007 Sep 15.
9
Precise Estimates of Persistence Time for SIS Infections in Heterogeneous Populations.异质人群中 SIS 感染持续时间的精确估计。
Bull Math Biol. 2018 Nov;80(11):2871-2896. doi: 10.1007/s11538-018-0491-6. Epub 2018 Sep 11.
10
[Mathematical models in epizootiology].
Vet Med (Praha). 1980 May;25(5):257-65.
引用本文的文献
1
Impact of directionality and correlation on contagion.方向性和相关性对传染的影响。
Sci Rep. 2018 Mar 19;8(1):4814. doi: 10.1038/s41598-018-22508-1.
2
Exact solutions for social and biological contagion models on mixed directed and undirected, degree-correlated random networks.混合有向和无向、度相关随机网络上社会和生物传染模型的精确解。
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016110. doi: 10.1103/PhysRevE.84.016110. Epub 2011 Jul 25.
本文引用的文献
1
Seed size strongly affects cascades on random networks.种子大小对随机网络上的级联有强烈影响。
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 2):056103. doi: 10.1103/PhysRevE.75.056103. Epub 2007 May 3.
2
A simple model of global cascades on random networks.随机网络上的全局级联的一个简单模型。
Proc Natl Acad Sci U S A. 2002 Apr 30;99(9):5766-71. doi: 10.1073/pnas.082090499.
3
Tuning clustering in random networks with arbitrary degree distributions.在具有任意度分布的随机网络中调整聚类
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):036133. doi: 10.1103/PhysRevE.72.036133. Epub 2005 Sep 30.
4
Network motifs in the transcriptional regulation network of Escherichia coli.大肠杆菌转录调控网络中的网络基序
Nat Genet. 2002 May;31(1):64-8. doi: 10.1038/ng881. Epub 2002 Apr 22.
5
Random graphs with arbitrary degree distributions and their applications.具有任意度分布的随机图及其应用。
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 2):026118. doi: 10.1103/PhysRevE.64.026118. Epub 2001 Jul 24.
6
Emergence of scaling in random networks.随机网络中幂律分布的出现。
Science. 1999 Oct 15;286(5439):509-12. doi: 10.1126/science.286.5439.509.
Zotero 插件