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Analysis of epidemic spreading and infection control with complex network theory

Research Project

Project/Area Number 15K16061
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Soft computing
Research InstitutionTohoku University (2018)
The University of Tokyo (2015-2017)

Principal Investigator

Fujiwara Naoya  東北大学, 情報科学研究科, 准教授 (00637449)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords複雑ネットワーク / 感染症 / 数理モデル / 人流データ
Outline of Final Research Achievements

In this research, we employed human mobility data in urban areas to construct time-dependent contact networks, performed simulations of spread of an infectious disease on the contact networks, and derived an approximated equation to estimate the final size of the infection. By varying a control parameter for the contact network, we found that the system shows the percolation transition and the scaling behavior. In the approximation, we can use small numbers of eigenvalues and eigenvectors of the contact networks, and found that the numerical solution of this equation well describes the simulation results with respect to the final size. Therefore,the relevant features of the spreading pattern can be captured by the eigenvectors of the connectivity matrices of the contact networks.

Academic Significance and Societal Importance of the Research Achievements

実データ解析によってネットワークを構成するとともに、大規模な感染シミュレーション、そして理論を用いて感染拡大を見積もるとともに感染症対策への提言も視野に入れている点が本研究の大きな特徴である。現実のネットワークにおける知見を得ることが困難であった従来の近似手法を改善して、実データ解析にも耐えうる解析手法を整備、提供することができた。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (18 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (4 results) Journal Article (3 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 3 results,  Acknowledgement Compliant: 3 results) Presentation (11 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Int'l Joint Research] Harvard University(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Harvard Medical School(米国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] ポツダム気候影響研究所/ボン大学(ドイツ)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] バルセロナ大学(スペイン)

    • Related Report
      2016 Research-status Report
  • [Journal Article] A perturbation-theoretic approach to Lagrangian flow networks2017

    • Author(s)
      Naoya Fujiwara, Kathrin Kirchen, Jonathan F. Donges, and Reik V. Donner
    • Journal Title

      Chaos

      Volume: 27 Issue: 3 Pages: 035813-035813

    • DOI

      10.1063/1.4978549

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Synchronization of mobile chaotic oscillator networks2016

    • Author(s)
      Naoya Fujiwara, Juergen Kurths, and Albert Diaz-Guilera
    • Journal Title

      Chaos

      Volume: 26 Issue: 9 Pages: 094824-094824

    • DOI

      10.1063/1.4962129

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Perturbation theory for unstable periodic orbits in chaotic dynamical systems2015

    • Author(s)
      Naoya Fujiwara, Miki U. Kobayashi, and Kazuyuki Aihara
    • Journal Title

      Proceedings of 2015 International Symposium on Nonlinear Theory and its Applications

      Volume: 1 Pages: 229-232

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Dynamical processes on periodic temporal networks and their applications2018

    • Author(s)
      Naoya Fujiwara, Abhijeet R. Sonawane
    • Organizer
      International Symposium on Nonlinear Theory and its Applications (NOLTAS2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Towards Prediction of Complex Geospatial Phenomena2018

    • Author(s)
      Naoya Fujiwara
    • Organizer
      ACM SIGSPATIAL 2018 Workshop on Prediction of Human Mobility (PredictGIS2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 地理空間データを用いた 社会経済現象解析2018

    • Author(s)
      藤原直哉
    • Organizer
      経済・社会への分野横断的研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Contribution of hidden modes to nonlinear epidemic dynamics in urban human proximity networks2017

    • Author(s)
      Abhijeet R. Sonawane, Naoya Fujiwara, Koji Iwayama, Kazuyuki Aihara
    • Organizer
      Urban Systems and Network Science, NetSci2017 Satellite
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 人の流れネットワークにおけるパーコレーション的転移2016

    • Author(s)
      藤原 直哉、Abhijeet R. Sonawane、岩山幸治、合原一幸
    • Organizer
      日本物理学会2016年年次大会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-21
    • Related Report
      2015 Research-status Report
  • [Presentation] 人の移動データを用い た社会現象ダイナミクス解析2016

    • Author(s)
      藤原 直哉、Abhijeet R. Sonawane、岩山幸治、合原一幸
    • Organizer
      社会物理学の現代的課題
    • Place of Presentation
      統計数理研究所(東京都立川市)
    • Year and Date
      2016-01-08
    • Related Report
      2015 Research-status Report
  • [Presentation] 人流ネットワー クのクラスタリングによる圏域検出と感染症拡大モデル2016

    • Author(s)
      藤原直哉,桜町律,秋山祐樹,藤嶋翔太,金田穂高,柴崎亮介
    • Organizer
      CCS/NetSci 合同ワークショップ
    • Place of Presentation
      余市町中央公民館(北海道余市町)
    • Related Report
      2016 Research-status Report
  • [Presentation] 人流データのクラスタリング手法に対する一考察2016

    • Author(s)
      藤原直哉
    • Organizer
      第25回地理情報システム学会会研究発表大会
    • Place of Presentation
      立正大学(東京都品川区)
    • Related Report
      2016 Research-status Report
  • [Presentation] 人の流動ネットワークのクラスタリングの属性に対する依存性2016

    • Author(s)
      藤原直哉
    • Organizer
      複雑コミュニケーションサイエンス研究会
    • Place of Presentation
      京都産業大学(京都府京都市)
    • Related Report
      2016 Research-status Report
  • [Presentation] ネットワーククラスタリングとしての都市圏域構造2016

    • Author(s)
      藤原直哉
    • Organizer
      CSIS DAYS 2016
    • Place of Presentation
      東京大学(東京都文京区)
    • Related Report
      2016 Research-status Report
  • [Presentation] 人の移動データを用い た感染症拡大可能性の解析 II2015

    • Author(s)
      藤原 直哉、Abhijeet R. Sonawane、岩山幸治、合原一幸
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学(大阪府吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2022-02-21  

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