Analysis of metapopulation Epidemic process on arbitrary networks

Taro Takaguchi, Renaud Lambiotte

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Abstract

Epidemic process on networks is considered. The system is discribed as a metapopulation network in which a node represents subpopulation (e.g., city or school) and is connected to other nodes via undirected links. Particles represent the subject of infection (e.g., individuals) and interact with each other within nodes while migrating from nodes to nodes in the manner of random diffusion. The nonlinear dependence of contact rate within a node on its population size is introduced, according to the recent finding based on emprical phone-call data. The impacts of the nonlinear dependence are investigated for three aspects of epidemic process: epidemic threshold, infection size at stationary state, and transient dynamics.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
PublisherIFAC Secretariat
Pages141-145
Number of pages5
Volume48
Edition18
DOIs
Publication statusPublished - 1 Nov 2015
Event4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015 - Tokyo, Japan
Duration: 26 Aug 201528 Aug 2015

Conference

Conference4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015
CountryJapan
CityTokyo
Period26/08/1528/08/15

Keywords

  • Complex systems
  • Differential equations
  • Eigenmode analysis
  • Monte carlo simulation
  • Networks

Cite this

Takaguchi, T., & Lambiotte, R. (2015). Analysis of metapopulation Epidemic process on arbitrary networks. In IFAC Proceedings Volumes (IFAC-PapersOnline) (18 ed., Vol. 48, pp. 141-145). IFAC Secretariat. https://doi.org/10.1016/j.ifacol.2015.11.026
Takaguchi, Taro ; Lambiotte, Renaud. / Analysis of metapopulation Epidemic process on arbitrary networks. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 48 18. ed. IFAC Secretariat, 2015. pp. 141-145
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Takaguchi, T & Lambiotte, R 2015, Analysis of metapopulation Epidemic process on arbitrary networks. in IFAC Proceedings Volumes (IFAC-PapersOnline). 18 edn, vol. 48, IFAC Secretariat, pp. 141-145, 4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015, Tokyo, Japan, 26/08/15. https://doi.org/10.1016/j.ifacol.2015.11.026

Analysis of metapopulation Epidemic process on arbitrary networks. / Takaguchi, Taro; Lambiotte, Renaud.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 48 18. ed. IFAC Secretariat, 2015. p. 141-145.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

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AB - Epidemic process on networks is considered. The system is discribed as a metapopulation network in which a node represents subpopulation (e.g., city or school) and is connected to other nodes via undirected links. Particles represent the subject of infection (e.g., individuals) and interact with each other within nodes while migrating from nodes to nodes in the manner of random diffusion. The nonlinear dependence of contact rate within a node on its population size is introduced, according to the recent finding based on emprical phone-call data. The impacts of the nonlinear dependence are investigated for three aspects of epidemic process: epidemic threshold, infection size at stationary state, and transient dynamics.

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Takaguchi T, Lambiotte R. Analysis of metapopulation Epidemic process on arbitrary networks. In IFAC Proceedings Volumes (IFAC-PapersOnline). 18 ed. Vol. 48. IFAC Secretariat. 2015. p. 141-145 https://doi.org/10.1016/j.ifacol.2015.11.026