Synergistic Effects in Networked Epidemic Spreading Dynamics

書誌事項

公開日
2020-03
資源種別
journal article
権利情報
  • https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
  • https://doi.org/10.15223/policy-029
  • https://doi.org/10.15223/policy-037
DOI
  • 10.1109/tcsii.2019.2912794
  • 10.48550/arxiv.1902.02954
公開者
Institute of Electrical and Electronics Engineers (IEEE)

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説明

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of their separate effects. Although synergistic effects play key roles in various biological and social phenomena, their analyses have been often performed by means of approximation techniques and for limited types of networks. In order to address this limitation, this paper proposes a rigorous approach to quantitatively understand the effect of synergy in the Susceptible-Infected-Susceptible model taking place in an arbitrary complex network. We derive an upper bound on the growth rate of the synergistic Susceptible-Infected-Susceptible model in terms of the eigenvalues of a matrix whose size grows quadratically with the number of the nodes in the network. We confirm the effectiveness of our result by numerical simulations on empirically observed human and animal social networks.

Accepted for publication in IEEE Transactions on Circuits and Systems II: Express Briefs

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