Pattern mechanism in stochastic SIR networks with ER connectivity

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

Physica A: Statistical Mechanics and its Applications, 2022, vol. 603, issue C

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.

Keywords: SIR; Pattern formation; Network; Matrix; Turing instability; Delay (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005088

DOI: 10.1016/j.physa.2022.127765

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