Pattern mechanism in stochastic SIR networks with ER connectivity

Qianqian Zheng, Jianwei Shen, Yong Xu, Vikas Pandey, Linan Guan

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

The diffusion of the susceptible and infected is a vital factor in spreading infectious diseases. However, the previous SIR networks cannot explain the dynamical mechanism of periodic behavior and endemic diseases. Here, we incorporate the diffusion and network effect into the SIR model and describes the mechanism of periodic behavior and endemic diseases through wavenumber and saddle–node bifurcation. We also introduce the standard network structured entropy (NSE) and demonstrate diffusion effect could induce the saddle–node bifurcation and Turing instability. Then we reveal the mechanism of the periodic outbreak and endemic diseases by the mean-field method. We provide the Turing instability condition through wavenumber in this network-organized SIR model. In the end, the data from COVID-19 authenticated the theoretical results.

Original languageEnglish
Article number127765
JournalPhysica A: Statistical Mechanics and its Applications
Volume603
DOIs
StatePublished - 1 Oct 2022

Keywords

  • Delay
  • Matrix
  • Network
  • Pattern formation
  • SIR
  • Turing instability

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