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Cooperate epidemic spreading on multiplex networks with heterogeneous population

Author

Listed:
  • Tianqiao Zhang

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China†School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou 450046, China)

  • Yang Zhang

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Jinming Ma

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Junliang Chen

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Xuzhen Zhu

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Abstract

Cooperate epidemic spreading dynamics has attracted much attention from the field of network science. In this paper, we study the cooperate epidemic spreading dynamics on multiplex networks with heterogeneous populations, which induces the heterogeneous coinfection susceptibility. We propose a spreading model to describe the evolution mechanisms. To predict the final state of the epidemic outbreak size, a generalized bond percolation theory is suggested. Through numerical simulations and theoretical analyses, we find that the system exhibits a discontinuous phase transition for large average and small variance of the distribution of coinfection susceptibility on ER–ER multiplex networks, while the phase transition is continuous on SF–SF networks. In addition, the final outbreak size increases with the average coinfection susceptibility and decreases with the variance of the coinfection susceptibility. Our suggested bond percolation theory can well predict the numerical simulations.

Suggested Citation

  • Tianqiao Zhang & Yang Zhang & Jinming Ma & Junliang Chen & Xuzhen Zhu, 2020. "Cooperate epidemic spreading on multiplex networks with heterogeneous population," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-10, September.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:09:n:s0129183120501326
    DOI: 10.1142/S0129183120501326
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