自适应网络上的疾病传播
Epidemic Spreading on Adaptive Networks
DOI: 10.12677/AAM.2024.131007, PDF,    科研立项经费支持
作者: 曹忠盼：云南财经大学统计与数学学院，云南 昆明
关键词: 疾病传播模型；自适应网络；人口迁移；传播阈值；Models of Epidemic Spreading； Adaptive Network； Population Migration； Epidemic Threshold
摘要: 疾病在网络中的传播取决于接触网络结构。个体可能通过调整其接触来应对疾病，以减少感染疾病的风险，从而改变网络结构，进而影响疾病的传播。本文提出一个具有人口迁移和重新布线的自适应网络上的SIS类型的疾病传播模型，并求解了传播阈值。结果表明，易感者和感染者之间的边断开的概率越大，传播阈值越大。
Abstract: The spread of epidemics in a network depends on the structure of the contact network. Individuals may respond to epidemics by adjusting their exposures to reduce the risk of contracting epidemics, thereby altering the network structure and thus influencing the spread of epidemics. In this paper, we propose an epidemic propagation model of SIS type on an adaptive network with population migration and rewiring, and solve the propagation threshold. The results show that the greater the probability of edge disconnection between susceptible and infected people, the greater the epi-demic threshold.
文章引用：曹忠盼. 自适应网络上的疾病传播[J]. 应用数学进展, 2024, 13(1): 55-60. https://doi.org/10.12677/AAM.2024.131007

参考文献

[1] Li, H.J., Xu, W., Song, S., et al. (2021) The Dynamics of Epidemic Spreading on Signed Networks. Chaos, Solitons & Fractals, 151, 111294. [Google Scholar] [CrossRef] 
[2] 范如国, 王奕博, 罗明, 等. 基于SEIR的新冠肺炎传播模型及拐点预测分析[J]. 电子科技大学学报, 2020, 49(3): 369-374.
[3] Wang, S., Gong, M., Liu, W., et al. (2020) Preventing Epidemic Spreading in Networks by Community Detection and Memeticalgorithm. Applied Soft Computing, 89, 106118. [Google Scholar] [CrossRef] 
[4] Gosak, M., Duh, M., Markovič, R., et al. (2021) Community Lockdowns in Social Networks Hardly Mitigate Epidemic Spreading. New Journal of Physics, 23, 043039. [Google Scholar] [CrossRef] 
[5] Moore, S. and Rogers, T. (2020) Predicting the Speed of Epidemics Spreading in Networks. Physical Review Letters, 124, 068301. [Google Scholar] [CrossRef] 
[6] Yang, J.X. (2019) Epidemic Spreading on Evolving Net-works. International Journal of Modern Physics B, 33, 1950266. [Google Scholar] [CrossRef] 
[7] Moore, C. and Newman, M.E.J. (2000) Epidemics and Percola-tion in Small-World Networks. Physical Review E, 61, 5678. [Google Scholar] [CrossRef] 
[8] Rüdiger, S., Plietzsch, A., Sagués, F., et al. (2020) Epidemics with Mutating Infectivity on Small-World Networks. Scientific Reports, 10, Article No. 5919. [Google Scholar] [CrossRef] [PubMed]
[9] Pastor-Satorras, R. and Vespignani, A. (2001) Epidemic Spreading in Scale-Free Networks. Physical Review Letters, 86, 3200. [Google Scholar] [CrossRef] 
[10] Ogura, M. and Preciado, V.M. (2016) Epidemic Processes over Adaptive State-Dependent Networks. Physical Review E, 93, 062316. [Google Scholar] [CrossRef] 
[11] Tunc, I. and Shaw, L.B. (2014) Effects of Community Structure on Epidemic Spread in an Adaptive Network. Physical Review E, 90, 022801. [Google Scholar] [CrossRef] 
[12] Song, Y.R., Jiang, G.P. and Gong, Y.W. (2013) Epidemic Propagation on Adaptive Coevolutionary Networks with Preferentiallocal-World Reconnecting Strategy. Chinese Physics B, 22, 040205. [Google Scholar] [CrossRef] 
[13] Gross, T., D’Lima, C.J.D. and Blasius, B. (2006) Epidemic Dynamics on an Adaptive Network. Physical Review Letters, 96, 208701. [Google Scholar] [CrossRef] 
[14] Taylor, M., Taylor, T.J. and Kiss, I.Z. (2012) Epidemic Threshold and Control in a Dynamic Network. Physical Review E, 85, 016103. [Google Scholar] [CrossRef] 
[15] Szabó-Solticzky, A., Berthouze, L., Kiss, I.Z., et al. (2016) Os-cillating Epidemics in a Dynamic Network Model: Stochastic Andmean-Field Analysis. Journal of Mathematical Biology, 72, 1153-1176. [Google Scholar] [CrossRef] [PubMed]
[16] Keeling, M.J. (1999) The Effects of Local Spatial Structure on Epidemiological Invasions. Proceedings of the Royal Society of London. Series B: Biological Sciences, 266, 859-867. [Google Scholar] [CrossRef] [PubMed]
[17] Rand, D.A. (1999) Correlation Equations and Pair Approximations for Spatial Ecologies. In: McGlade, J., Ed., Advanced Ecological Theory: Principles and Applications, Blackwell Science Ltd., 100-142. [Google Scholar] [CrossRef] 
[18] Trapman, P. (2007) Reproduction Numbers for Epidemics on Networks Using Pair Approximation. Mathematical Biosciences, 210, 464-489. [Google Scholar] [CrossRef] [PubMed]
[19] Lyapunov, A.M. (1992) The General Problem of the Stability of Motion. International Journal of Control, 55, 531-534. [Google Scholar] [CrossRef] 

为你推荐