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From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading
LIN Chang 1, YAN Zi-Xiang 1, GAO Jian 1, XIAO Jing-Hua 2 *, XIAO Jing-Hua 3 *
1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
2. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China ； State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
3. State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
*Correspondence author
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Funding: the National Natural Science Foundation of China (NSFC)（No.11775034）, the Fundamental Research Funds for the Central Universities （No.2019XD-A10 and 2022RC26）
Opened online:28 March 2023
Accepted by: none
Citation: LIN Chang, YAN Zi-Xiang, GAO Jian.From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading[OL]. [28 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759760
 
 
Synergistic epidemic-like spreading phenomena in networked system occur in various forms in nature and human society. The networks’ structure characterized by its structural heterogeneity affects the synergistic spreading process dramatically. It was believed that the synergistic epidemic spreading follows a continuous transition on heterogeneous networks, but an explosive one on homogeneous networks. In this work, we adopt the model that interpolates between homogeneous and heterogeneous networks to generate a series of studied networks. By continuously changing the ratio of homogeneous structure α of the network, we numerically show that the interplay between the spreading transition and the structural heterogeneity of network is much more complicated. Although the explosive epidemic transition is likely to be hindered by structural heterogeneity, it could occur on completely heterogeneous network as long as the synergistic strength is sufficiently strong. The predictions of heterogeneous mean-field analysis agree with the numerical results, thus helping to understand the role of structural heterogeneity in affecting synergistic epidemic spreading.
Keywords:Epidemic spreading process on complex networks, structural heterogeneity, synergistic epidemic spreading, explosive epidemic transition, heterogeneous mean-field analysis
 
 
 

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