• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Optimal Vaccination Strategies based on the Stochastic System Control Theory and Its Application

Research Project

Project/Area Number 25420441
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering/System engineering
Research InstitutionYamaguchi University

Principal Investigator

Ishikawa Masaaki  山口大学, 大学院理工学研究科, 教授 (30201916)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords確率システム / 感染症モデル / 確率最適制御 / 確率分岐 / 確率最大原理 / Four-step スキーム / シミュレーション / 感染症 / 数理モデル / システム制御 / 安定性 / 感染症解析 / 最適ワクチン接種 / 分岐解析 / 感染症伝播モデル / 不規則外乱 / ワクチン接種 / 最適制御 / 数値解析
Outline of Final Research Achievements

In this research, we have established the stochastic vaccination strategies for infectious diseases. First, taking account of random fluctuations in the infection or the recovery rates caused by the environmental change, we have proposed the stochastic infectious models using the stochastic differential equation. Secondly, we have estabilisheded the stochastic optimal vaccination strategies using the stochastic maximum principle and the four-step scheme. finally, the efficiency of the proposed optimal vaccination strategy is verified by the numerical simulations.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (23 results)

All 2016 2015 2014 2013

All Journal Article (14 results) (of which Peer Reviewed: 11 results,  Acknowledgement Compliant: 11 results) Presentation (9 results)

  • [Journal Article] 非線形発生率を考慮した確率SIVモデルと最適ワクチン接種戦略2016

    • Author(s)
      石川 昌明
    • Journal Title

      システム制御情報学会論文誌

      Volume: 1

    • NAID

      130005165104

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stochastic Bifurcations in the Plankton-fish System2015

    • Author(s)
      M. Ishikawa
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 59

    • NAID

      130005138175

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] D-bifurcation in the Stochastic Predator-prey System and Its Simulation Analysis2015

    • Author(s)
      M. Ishikawa
    • Journal Title

      ICIC Express Letters, An International Journal of Research and Surveys

      Volume: 9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 非線形特性を考慮した確率 SIV モデルと最適ワ クチン接種問題2015

    • Author(s)
      石川 昌明
    • Journal Title

      第59回システム制御情報学会研究発表講演会講演論文集

      Volume: 1

    • NAID

      40020472180

    • Related Report
      2015 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] 魚による捕食を考慮したプランクトン系における確率分岐2015

    • Author(s)
      石川 昌明
    • Journal Title

      第58回自動制御連合講演会講演論文集

      Volume: 1

    • Related Report
      2015 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] D-bifurcation in the Stochastic Predator-prey System and Its Simulation Analysis2015

    • Author(s)
      M. Ishikawa
    • Journal Title

      CIC Express Letters, An International Journal of Research and Surveys

      Volume: Vol. 6

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stochastic Bifurcation in the Plankton System under the Fish School2015

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 46th International Symposium on Stochastic Systems Theory and Its Applications

      Volume: Vol. 1

    • NAID

      130005107453

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] D-分岐に基づく確率捕食者・被食者系の分岐解析2014

    • Author(s)
      石川 昌明
    • Journal Title

      システム制御情報学会論文誌

      Volume: Vol. 58 Pages: 8-13

    • NAID

      130003396799

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Simulation Analysis of the Stochastic Bifurcation in the Predator-prey Plankton System2014

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 33rd JSST Annual Conference: International Conference on Simulation Technology

      Volume: Vol.1 Pages: 146-147

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stochastic Optimal Vaccination Problems for an SIR Model with Saturated Treatment2014

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 45th International Symposium on Stochastic Systems Theory and Its Applications

      Volume: Vol.1 Pages: 272-277

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 確率分岐について2014

    • Author(s)
      石川 昌明
    • Journal Title

      第19回計算工学講演会講演論文集

      Volume: Vol.1

    • NAID

      40020116839

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Optimal Vaccination Strategy under Saturated Treatment using the Stochastic SIR Model2013

    • Author(s)
      M. Ishikawa
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 57 Pages: 382-388

    • NAID

      130003396786

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Analysis in the Stochastic Lumped Parameter System2013

    • Author(s)
      M. Ishikawa
    • Journal Title

      Extended Abstract of the 45th International Symposium on Stochastic Systems Theory and Its Applications

      Volume: 1

    • NAID

      130007377495

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stochastic Optimal Vaccination Problems for an SIR Model with Saturated Treatment2013

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 44th International Symposium on Stochastic Systems Theory and Its Applications

      Volume: 1

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 魚による捕食を考慮したプランクトン系における確率分岐2015

    • Author(s)
      石川 昌明
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2015-11-14
    • Related Report
      2015 Annual Research Report
  • [Presentation] 非線形特性を考慮した確率 SIV モデルと最適ワ クチン接種問題2015

    • Author(s)
      石川 昌明
    • Organizer
      第59回システム制御情報学会研究発表講演会
    • Place of Presentation
      中央電気倶楽部(大阪市)
    • Year and Date
      2015-05-20
    • Related Report
      2015 Annual Research Report
  • [Presentation] Stochastic Bifurcation in the Plankton System under the Fish School2014

    • Author(s)
      M. Ishikawa
    • Organizer
      The 46th International Symposium on Stochastic Systems Theory and Its Applications
    • Place of Presentation
      京都工芸繊維大学(京都市左京区)
    • Year and Date
      2014-11-01 – 2014-11-02
    • Related Report
      2014 Research-status Report
  • [Presentation] Simulation Analysis of the Stochastic Bifurcation in the Predator-prey Plankton System2014

    • Author(s)
      M. Ishikawa
    • Organizer
      The 33rd JSST Annual Conference: International Conference on Simulation Technology
    • Place of Presentation
      北九州国際会議場(福岡県北九州市)
    • Year and Date
      2014-10-29 – 2014-10-31
    • Related Report
      2014 Research-status Report
  • [Presentation] 確率集中システムにおける分岐解析2014

    • Author(s)
      石川 昌明
    • Organizer
      第58回システム制御情報学会研究発表講演会講演論文集
    • Place of Presentation
      京都テルサ(京都市南区)
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Bifurcation Analysis in the Stochastic Lumped Parameter System2013

    • Author(s)
      M. Ishikawa
    • Organizer
      the 45th International Symposium on Stochastic Systems Theory and Its Applications
    • Place of Presentation
      琉球大学(那覇市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 動物・植物プランクトン系における確率分岐2013

    • Author(s)
      石川 昌明
    • Organizer
      日本応用数理学会2013年度年会
    • Place of Presentation
      アクロス福岡 (福岡市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 感染症モデルを用いた最適ワクチン接種戦略構築2013

    • Author(s)
      石川 昌明
    • Organizer
      日本応用数理学会2013年度年会
    • Place of Presentation
      アクロス福岡 (福岡市)
    • Related Report
      2013 Research-status Report
  • [Presentation] D-分岐に基づく確率システムの安定性解析2013

    • Author(s)
      石川 昌明
    • Organizer
      第57回システム制御情報学会研究発表講演会
    • Place of Presentation
      兵庫県民会館(神戸市)
    • Related Report
      2013 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi