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Epidemics spreading in periodic double layer networks with dwell time

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  • Wang, Ning-Ning
  • Jin, Zhen
  • Wang, Ya-Jing
  • Di, Zeng-Ru

Abstract

Epidemics spread in human contact networks, which evolve with diurnal and night time periodically and can be regarded as multilayer networks with different dwell time. The topologies of their subnetworks are different from each other, and the stabilities of their dynamic systems are also different. The stabilities of these switched systems, containing stable and unstable subsystems, not only depend on the stability of each subsystem, but also the dwell time of each subsystem. Hence, their stabilities are generally associated with the dwell time, network structure, infection and recovery rate. What is the quantitative relationship among these variables in threshold condition? In this paper, we establish a periodic switched N-intertwined SIS model and obtain its threshold condition in double layer networks, then extend this threshold condition to multilayer networks. This threshold condition is vital to accurately understand the effect of dwell time on spreading result in network. Some simulation results also indicate the accuracy of our threshold condition.

Suggested Citation

  • Wang, Ning-Ning & Jin, Zhen & Wang, Ya-Jing & Di, Zeng-Ru, 2020. "Epidemics spreading in periodic double layer networks with dwell time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119318114
    DOI: 10.1016/j.physa.2019.123226
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    References listed on IDEAS

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    1. Ning-Ning Wang & Zhen Jin & Xiao-Long Peng, 2019. "Community Detection with Self-Adapting Switching Based on Affinity," Complexity, Hindawi, vol. 2019, pages 1-16, November.
    2. Li, Ruiqi & Wang, Wenxu & Di, Zengru, 2017. "Effects of human dynamics on epidemic spreading in Côte d’Ivoire," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 30-40.
    3. Li, Ruiqi & Richmond, Peter & Roehner, Bertrand M., 2018. "Effect of population density on epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 713-724.
    4. Rongwei Guo, 2014. "Stability Analysis of a Class of Switched Nonlinear Systems with an Improved Average Dwell Time Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, March.
    5. Ruiqi Li & Lei Dong & Jiang Zhang & Xinran Wang & Wen-Xu Wang & Zengru Di & H. Eugene Stanley, 2017. "Simple spatial scaling rules behind complex cities," Nature Communications, Nature, vol. 8(1), pages 1-7, December.
    6. Zhang, Hai-Feng & Shu, Pan-Pan & Wang, Zhen & Tang, Ming & Small, Michael, 2017. "Preferential imitation can invalidate targeted subsidy policies on seasonal-influenza diseases," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 332-342.
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    Cited by:

    1. Wang, Ning-Ning & Qiu, Shui-Han & Zhong, Xiao Wen & Di, Zeng-Ru, 2023. "Epidemic thresholds identification of susceptible-infected-recovered model based on the Eigen Microstate," Applied Mathematics and Computation, Elsevier, vol. 449(C).

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