Pattern mechanism in stochastic SIR networks with ER connectivity.

Pattern mechanism in stochastic SIR networks with ER connectivity.
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DOI:
10.1016/j.physa.2022.127765
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发表时间:
2022-10-01
影响因子:
3.3
通讯作者:
Guan, Linan
Guan, Linan
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zheng, Qianqian;Shen, Jianwei;Xu, Yong;Pandey, Vikas;Guan, Linan

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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.
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