Skip to main content
Top
Published in: Soft Computing 14/2018

03-11-2017 | Foundations

Epidemic spreading on a complex network with partial immunization

Authors: Xuewu Zhang, Jiaying Wu, Peiran Zhao, Xin Su, Dongmin Choi

Published in: Soft Computing | Issue 14/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper proposes a new virus spreading model, susceptible–infected–susceptible–recovered–susceptible, which is based on partial immunization and immune invalidity in a complex network. On the basis of mean-field theory, the epidemic dynamics behavior of this model in a uniform network and a scale-free network is studied. After modifying the formula for the effective spread rate, we obtain the theoretical result that the coexistence of partial immunization and immune failure does not affect the network spread threshold. At the same time, the experimental results show that the existence of the above two conditions greatly increases the spread of the virus and extends the diffusion range. The study also found that in the scale-free network, peak viral infection occurs at the beginning of the spreading process, and after the immunization strategy is applied, the early infection peak is effectively curbed.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Baagyere EY, Qin Z, Xiong H, Qin Z (2015) Characterization of complex networks for epidemics modeling. Wirel Pers Commun 83:1CrossRef Baagyere EY, Qin Z, Xiong H, Qin Z (2015) Characterization of complex networks for epidemics modeling. Wirel Pers Commun 83:1CrossRef
go back to reference Barrat A, Weigt M (2000) On the properties of small-world network models. Eur Phys J B 13:547CrossRef Barrat A, Weigt M (2000) On the properties of small-world network models. Eur Phys J B 13:547CrossRef
go back to reference Boguna M, Pastor-Satorras R, Vespignani A (2003) Absence of epidemic threshold in scale-free networks with degree correlations. Phys Rev Lett 90:028701CrossRefMATH Boguna M, Pastor-Satorras R, Vespignani A (2003) Absence of epidemic threshold in scale-free networks with degree correlations. Phys Rev Lett 90:028701CrossRefMATH
go back to reference Gandon S, Day T (2008) Evidences of parasite evolution after vaccination. Vaccine 26:54CrossRef Gandon S, Day T (2008) Evidences of parasite evolution after vaccination. Vaccine 26:54CrossRef
go back to reference Gianni F (2015) Evaluating complex network indices for vulnerability analysis of a territorial power grid, Journal of Ambient Intelligence and Humanized Computing. Pau Pier Luigi 6:1 Gianni F (2015) Evaluating complex network indices for vulnerability analysis of a territorial power grid, Journal of Ambient Intelligence and Humanized Computing. Pau Pier Luigi 6:1
go back to reference Hong S, Yang H, Zhao T, Ma X (2016) Epidemic spreading model of complex dynamical network with the heterogeneity of nodes. Int J Syst Sci 47:2745CrossRefMATH Hong S, Yang H, Zhao T, Ma X (2016) Epidemic spreading model of complex dynamical network with the heterogeneity of nodes. Int J Syst Sci 47:2745CrossRefMATH
go back to reference Junho C, Choi C, Eunji L, Pankoo K (2015) Characterization of complex networks for epidemics modeling. New Trends Comput Collective Intell 572:195 Junho C, Choi C, Eunji L, Pankoo K (2015) Characterization of complex networks for epidemics modeling. New Trends Comput Collective Intell 572:195
go back to reference Kermack WO, Mckendrick AG (1927) A seminal contribution to the mathematical theory of epidemics. Proc R Soc A 115:700CrossRefMATH Kermack WO, Mckendrick AG (1927) A seminal contribution to the mathematical theory of epidemics. Proc R Soc A 115:700CrossRefMATH
go back to reference Kermack WO, Mckendrick AG (1938) Tests for randomness in a series of numerical observations. Proc R Soc E 138:55CrossRefMATH Kermack WO, Mckendrick AG (1938) Tests for randomness in a series of numerical observations. Proc R Soc E 138:55CrossRefMATH
go back to reference Liu QM, Deng CS, Sun MC (2014) The analysis of an epidemic model with time delay on scale-free networks. Phys A 410:79MathSciNetCrossRef Liu QM, Deng CS, Sun MC (2014) The analysis of an epidemic model with time delay on scale-free networks. Phys A 410:79MathSciNetCrossRef
go back to reference Moreno Y, Pastor-Satorras R, Vespignani A (2002) Epidemic outbreaks in complex heterogeneous networks. Eur Phys J B 26:251 Moreno Y, Pastor-Satorras R, Vespignani A (2002) Epidemic outbreaks in complex heterogeneous networks. Eur Phys J B 26:251
go back to reference Newman MEJ, Moore C, Watts DJ (2000) Mean-field solution of the small-world network model. Phys Rev Lett 84:3201CrossRef Newman MEJ, Moore C, Watts DJ (2000) Mean-field solution of the small-world network model. Phys Rev Lett 84:3201CrossRef
go back to reference Nikolaos V, Kun Y (2014) An enhanced community-based mobility model for distributed mobile social networks. J Ambient Intell Humaniz Comput 5:65CrossRef Nikolaos V, Kun Y (2014) An enhanced community-based mobility model for distributed mobile social networks. J Ambient Intell Humaniz Comput 5:65CrossRef
go back to reference Pastor-Satorras R, Vespignani A (2000) Epidemic spreading in scale-free networks. Phys Rev Lett 86:3200CrossRef Pastor-Satorras R, Vespignani A (2000) Epidemic spreading in scale-free networks. Phys Rev Lett 86:3200CrossRef
go back to reference Pastor-Satorras R, Vespignani A (2001) Epidemic dynamics and endemic states in complex networks. Phys Rev E 63:066117CrossRef Pastor-Satorras R, Vespignani A (2001) Epidemic dynamics and endemic states in complex networks. Phys Rev E 63:066117CrossRef
go back to reference Sareen S, Sood SK, Gupta SK (2017) IoT-based cloud framework to control Ebola virus outbreak. J Ambient Intell Humaniz Comput 4:1–12 Sareen S, Sood SK, Gupta SK (2017) IoT-based cloud framework to control Ebola virus outbreak. J Ambient Intell Humaniz Comput 4:1–12
go back to reference Shi HJ, Duan ZS, Chen GR, Li R (2009) Epidemic spreading on networks with vaccination. Chin Phys B 18:3309CrossRef Shi HJ, Duan ZS, Chen GR, Li R (2009) Epidemic spreading on networks with vaccination. Chin Phys B 18:3309CrossRef
go back to reference Stegehuis C, Hofstad RVD, Leeuwaarden JSHV (2016) Epidemic spreading on complex networks with community structures. Sci Rep 6:29748CrossRef Stegehuis C, Hofstad RVD, Leeuwaarden JSHV (2016) Epidemic spreading on complex networks with community structures. Sci Rep 6:29748CrossRef
go back to reference Wang YQ, Jiang GP (2010) Virus spreading on complex networks with imperfect immunization. Acta Phys Sin 59:6734 Wang YQ, Jiang GP (2010) Virus spreading on complex networks with imperfect immunization. Acta Phys Sin 59:6734
go back to reference Watts DJ, Strogatz SH (1998) Collective dynamics of ’small-world’ networks. Nature 393:440CrossRefMATH Watts DJ, Strogatz SH (1998) Collective dynamics of ’small-world’ networks. Nature 393:440CrossRefMATH
go back to reference Yun-Peng Xiao, Song-Yang Li, Yan-Bing Liu (2017) An information diffusion dynamic model based on social influence and mean-field theory. Acta Phys Sin 66:030501 Yun-Peng Xiao, Song-Yang Li, Yan-Bing Liu (2017) An information diffusion dynamic model based on social influence and mean-field theory. Acta Phys Sin 66:030501
Metadata
Title
Epidemic spreading on a complex network with partial immunization
Authors
Xuewu Zhang
Jiaying Wu
Peiran Zhao
Xin Su
Dongmin Choi
Publication date
03-11-2017
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 14/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2903-1

Other articles of this Issue 14/2018

Soft Computing 14/2018 Go to the issue

Premium Partner