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Analysis of infectious diseases on complex networks and the proposal of a dynamical vaccination strategy

Research Project

Project/Area Number 24740054
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionTohoku University

Principal Investigator

HASEGAWA Takehisa  東北大学, 情報科学研究科, 助教 (10528425)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords複雑ネットワーク / 感染症モデル / パーコレーション / 相転移 / 臨界現象 / モンテカルロシミュレーション / ワクチン
Outline of Final Research Achievements

I studied some mathematical models for infectious diseases on networks, such as the SIR model on correlated networks, an extended SIR model on uncorrelated networks, and percolation models on growing and hierarchical networks, to clarify various aspects of dynamics on networks. Concerning the strategy for preventing epidemics, I proposed a vaccination by observers, who are placed in a part of networks. When one neighbor of an observer node becomes infected, the observer immediately recognizes it and makes the rest of its neighbors immunize. As a result, I found that the proposed strategy is effective for suppressing epidemics in networks.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (30 results)

All 2014 2013 2012 Other

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (19 results) (of which Invited: 5 results)

  • [Journal Article] Discontinuous transition of a multistage independent cascade model on networks2014

    • Author(s)
      Takehisa Hasegawa and Koji Nemoto
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2014 Issue: 11 Pages: P11024-P11024

    • DOI

      10.1088/1742-5468/2014/11/p11024

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical Phase in Complex Networks: a Numerical Study2014

    • Author(s)
      Takehisa Hasegawa, Tomoaki Nogawa, and Koji Nemoto
    • Journal Title

      Discontinuity, Nonlinearity, and Complexity

      Volume: 3 Issue: 3 Pages: 319-346

    • DOI

      10.5890/dnc.2014.09.008

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Suppressing epidemics on networks by exploiting observer nodes2014

    • Author(s)
      Taro Takaguchi, Takehisa Hasegawa, and Yuichi Yoshida
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 1

    • DOI

      10.1103/physreve.90.012807

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transition-type change between an inverted Berezinskii-Kosterlitz-Thouless transition and an abrupt transition in bond percolation on a random hierarchical small-world network2014

    • Author(s)
      Tomoaki Nogawa and Takehisa Hasegawa
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 4

    • DOI

      10.1103/physreve.89.042803

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hierarchical scale-free network is fragile against random failure2013

    • Author(s)
      Takehisa Hasegawa and Koji Nemoto
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 6 Pages: 62807-62807

    • DOI

      10.1103/physreve.88.062807

    • NAID

      120005367436

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Profile and scaling of the fractal exponent of percolations in complex networks2013

    • Author(s)
      Takehisa Hasegawa, Tomoaki Nogawa, and Koji Nemoto
    • Journal Title

      Europhysics Letters

      Volume: 104 Issue: 1 Pages: 16006-16006

    • DOI

      10.1209/0295-5075/104/16006

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Observability transitions in correlated networks2013

    • Author(s)
      Takehisa Hasegawa, Taro Takaguchi, and Naoki Masuda
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 4 Pages: 42809-42809

    • DOI

      10.1103/physreve.88.042809

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Absence of the non-percolating phase for percolation on the non-planar Hanoi network2013

    • Author(s)
      Takehisa Hasegawa and Tomoaki Nogawa
    • Journal Title

      Physical Review E

      Volume: 87 Issue: 3

    • DOI

      10.1103/physreve.87.032810

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Robustness of correlated networks against propagating attacks2012

    • Author(s)
      Takehisa Hasegawa, Keita Konno, and Koji Nemoto
    • Journal Title

      The European Physical Journal B - Condensed Matter And Complex Systems

      Volume: 85 Issue: 8

    • DOI

      10.1140/epjb/e2012-30290-0

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Criticality governed by the stable renormalization fixed point of the Ising model in the hierarchical small-world network2012

    • Author(s)
      Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
    • Journal Title

      Physical Review E

      Volume: 86 Issue: 3

    • DOI

      10.1103/physreve.86.030102

    • NAID

      120004756333

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Generalized Scaling Theory for Critical Phenomena Including Essential Singularities and Infinite Dimensionality2012

    • Author(s)
      Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
    • Journal Title

      Physical Review Letters

      Volume: 108 Issue: 25

    • DOI

      10.1103/physrevlett.108.255703

    • NAID

      120004710985

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 階層ネットワークのランダム故障に対する脆弱性 II2014

    • Author(s)
      長谷川雄央, 能川知昭, 近藤剛史, 根本幸児
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(愛知県)
    • Year and Date
      2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 次数相関のあるネットワークにおけるobservability転移

    • Author(s)
      長谷川雄央, 高口太朗, 増田直紀
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学(神奈川県)
    • Related Report
      2013 Research-status Report
  • [Presentation] ランダム階層スモールワールドネットワーク上のパーコレーションにおけるメタ転移

    • Author(s)
      能川知昭, 長谷川雄央
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学(神奈川県)
    • Related Report
      2013 Research-status Report
  • [Presentation] 階層ネットワークのランダム故障に対する脆弱性

    • Author(s)
      長谷川雄央, 能川知昭, 近藤剛史, 根本幸児
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学(神奈川県)
    • Related Report
      2013 Research-status Report
  • [Presentation] 複雑ネットワーク上の相転移と臨界現象

    • Author(s)
      長谷川雄央
    • Organizer
      統計物理の新展開2014
    • Place of Presentation
      北海道大学(北海道)
    • Related Report
      2013 Research-status Report
  • [Presentation] Bond percolation and site percolation in complex networks

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      International Joint Research Week on Non-Commutative Stochastic Systems: Analysis, Modelling, and Applications
    • Place of Presentation
      東北大学(宮城県)
    • Related Report
      2013 Research-status Report
  • [Presentation] Impact of Correlated Structure on Network Observability Transition

    • Author(s)
      Takehisa Hasegawa, Taro Takaguchi, and Naoki Masuda
    • Organizer
      The 3rd International Symposium on Innovative Mathematical Modeling Institute of Industrial Science
    • Place of Presentation
      東京大学(東京都)
    • Related Report
      2013 Research-status Report
  • [Presentation] Classification of Phase Transitions in Complex Networks: a Monte-Carlo study

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      International Conference on Stochastic Analysis and Applications 2013
    • Place of Presentation
      Hammamet(Tunisia)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Origin of the critical phase in complex networks

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      Mathematics of Complex Systems
    • Place of Presentation
      Bielefeld(Germany)
    • Related Report
      2013 Research-status Report
  • [Presentation] Origin of the critical phase in complex networks

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      Phase Transition, Critical Phenomena and Related Topics in Complex Networks
    • Place of Presentation
      北海道大学(北海道)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Percolation on complex networks and nonamenable graphs

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      ECT* Workshop "Spectral Properties of Complex Networks"
    • Place of Presentation
      Trento (Italy)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Phase transition of bond percolation on nonamenable graphs and complex networks: a Monte-Carlo study

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      CREST Workshop "Random Media II"
    • Place of Presentation
      東北大学(宮城県)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Classification of Phase Transitions in Complex Networks

    • Author(s)
      Takehisa Hasegawa
    • Organizer
      2013 Workshop on Statistical Physics of Disordered Systems and Its Applications (SPDSA2013)
    • Place of Presentation
      秋保(宮城県)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] ネットワーク上における拡張SIRモデルの不連続転移

    • Author(s)
      長谷川雄央、根本幸児
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学(神奈川県)
    • Related Report
      2012 Research-status Report
  • [Presentation] ネットワーク上のfad modelにおける相転移の数値解析

    • Author(s)
      木下直人、長谷川雄央、根本幸児
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学(神奈川県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 複雑ネットワーク上の数理モデルの臨界点の単一性/非単一性

    • Author(s)
      長谷川雄央
    • Organizer
      CMRU研究会「ネットワーク科学の数理と展開」
    • Place of Presentation
      東北大学(宮城県)
    • Related Report
      2012 Research-status Report
  • [Presentation] ネットワーク上の fad model における相転移の数値解析

    • Author(s)
      木下直人、長谷川雄央、根本幸児
    • Organizer
      CMRU研究会「ネットワーク科学の数理と展開」
    • Place of Presentation
      東北大学(宮城県)
    • Related Report
      2012 Research-status Report
  • [Presentation] ネットワーク上の噂の拡がりの数理モデル

    • Author(s)
      長谷川雄央
    • Organizer
      SMART-CREST Workshop「数学と諸分野との連携研究の探索」
    • Place of Presentation
      東北大学(宮城県)
    • Related Report
      2012 Research-status Report
  • [Presentation] Percolation on nonamenable graphs and complex networks: a Monte-Carlo study

    • Author(s)
      長谷川雄央
    • Organizer
      無限粒子系、確率場の諸問題VIII
    • Place of Presentation
      奈良女子大学(奈良県)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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