Pattern mechanism in stochastic SIR networks with ER connectivity.
34F10
35B36
92C42
Delay
Matrix
Network
Pattern formation
SIR
Turing instability
Journal
Physica A
ISSN: 0378-4371
Titre abrégé: Physica A
Pays: Netherlands
ID NLM: 9890571
Informations de publication
Date de publication:
01 Oct 2022
01 Oct 2022
Historique:
received:
23
02
2022
revised:
13
05
2022
pubmed:
28
6
2022
medline:
28
6
2022
entrez:
27
6
2022
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 35757185
doi: 10.1016/j.physa.2022.127765
pii: S0378-4371(22)00508-8
pmc: PMC9212650
doi:
Types de publication
Journal Article
Langues
eng
Pagination
127765Informations de copyright
© 2022 Elsevier B.V. All rights reserved.
Déclaration de conflit d'intérêts
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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