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

The Infection Control based on the Stochastic Optimal Control Theory and Its Application

Research Project

Project/Area Number 22560448
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control 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) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords感染症モデル / 確率システム / ワクチン戦略 / 確率最適制御 / 確率最大原理 / 分岐 / シミュレーション / 確率最適制御問題 / 最適ワクチン接種戦略 / 4ステップスキーム / 確率2点境界値問題 / 確率2点境界値問題 / 確率SIRモデル / ADI法 / 時間空間正規性白色雑音 / 確率反応拡散方程 / ワクチン接種 / 基本再生産数
Research Abstract

In this research, we have established the stochastic vaccination model which describes the spread of infection taking account of random fluctuations in the infection or the death rates caused by the environmental change and have clarified the influence of the random noise on the spread of infection. Moreover, we have constructed the stochastic optimal vaccination system which minimizes the side-effect and the cost of vaccination and the infected population. The efficiency of the proposed optimal vaccination strategy is verified by the numerical simulations.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (57 results)

All 2013 2012 2011 2010 Other

All Journal Article (32 results) (of which Peer Reviewed: 18 results) Presentation (25 results)

  • [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: 第1巻

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic Optimal Vaccination Strategies in the SIRV Model,Transactions of the Institute of Systems2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      Control and Information Engineers

      Volume: 25 Pages: 343-348

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Control Problems for the Stochastic SIR Model under Vaccination, ICIC Express Letters2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      An International Journal of Research and Surveys

      Volume: 8 Pages: 1-7

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Simulation Analysis of Spatio-temporal Patterns in Stochastic Plankton-fish Systems International Journal of Innovative Computing2012

    • Author(s)
      M. Ishikawaand Y. Takai
    • Journal Title

      Information and Control

      Volume: 8 Pages: 2183-2191

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Simulation Analysis of the Optimal Vaccination Strategy in the Stochastic Infectious Model2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 31st JSST Annual Conference, pp.640-645 in USB Flush Drive

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 治療率を考慮した確率感染症モデルにおける最適ワクチン接種戦略2012

    • Author(s)
      石川 昌明
    • Journal Title

      第55回自動制御連合講演会論文集

      Volume: 1018

    • Related Report
      2012 Final Research Report
  • [Journal Article] 確率 SIRV モデルにおける最適ワクチン接種戦略2012

    • Author(s)
      石川 昌明
    • Journal Title

      第17回計算工学講演会講演論文集

    • NAID

      40019600704

    • Related Report
      2012 Final Research Report
  • [Journal Article] 確率感染症モデルとその最適制御2012

    • Author(s)
      石川 昌明
    • Journal Title

      第12回計測自動制御学会制御部門シンポジウム論文集

    • Related Report
      2012 Final Research Report
  • [Journal Article] Stochastic Optimal Vaccination Strategies in the SIRV Model2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 第25巻 Pages: 343-348

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Control Problems for the Stochastic SIR Model under Vaccination2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      ICIC Express Letters, An International Journal of Research and Surveys

      Volume: 第6巻 Pages: 1-7

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simulation Analysis of Spatio-temporal Patterns in Stochastic Plankton-fish Systems2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      International Journal of Innovative Computing, Information and Control

      Volume: 第8巻 Pages: 2183-2191

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simulation Analysis of the Optimal Vaccination Strategy in the Stochastic Infectious Model2012

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 31st JSST Annual Conference

      Volume: 第1巻 Pages: 640-645

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simulation Analysis of Spatio-temporal Patterns in Stochastic Plankton-fish Systems2012

    • Author(s)
      M.Ishikawa
    • Journal Title

      International Journal of Innovative Computing, Information and Control

      Volume: 8

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic Optimal Control of an SIR Epidemic Model with Vaccination2012

    • Author(s)
      M.Ishikawa
    • Journal Title

      Proceeding of the 43rd International Symposium on Stochastic Systems Theory and Its Applications

      Volume: (印刷中)

    • NAID

      130007377391

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 確確率感染症モデルとその最適制御2012

    • Author(s)
      石川昌明
    • Journal Title

      12回計測自動制御学会制御部門シンポジウム論文集

      Volume: (CD-ROM)

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 確率感染症モデルの最適制御2011

    • Author(s)
      石川 昌明
    • Journal Title

      第54回自動制御連合講演会講演論文集

    • NAID

      130005025971

    • Related Report
      2012 Final Research Report
  • [Journal Article] 外乱を考慮した感染症伝播過程のシミュレーション解析と最適制御2011

    • Author(s)
      石川 昌明
    • Journal Title

      日本応用数理学会 2011 年度 年会発表論文集

      Pages: 237-238

    • Related Report
      2012 Final Research Report
  • [Journal Article] ワクチン接種と外乱を考慮した感染症伝播過程のシミュレーション解析2011

    • Author(s)
      石川 昌明
    • Journal Title

      第55回システム制御情報学会研究発表講演会講演論文集

    • Related Report
      2012 Final Research Report
  • [Journal Article] On the Simulation Analysis for the Stochastic Infectious Model with Vaccination, International Journal of Innovative Computing2011

    • Author(s)
      M. Ishikawa
    • Journal Title

      Information and Control

      Volume: 7 Pages: 3-12

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic Optimal Control of an SIR Epidemic Model with Vaccination2011

    • Author(s)
      M. Ishikawa
    • Journal Title

      Proceedings of the 43rd International Symposium on Stochastic Systems Theory and Its Applications

      Pages: 24-25

    • NAID

      130007377391

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Simulation Analysis for the Stochastic Infectious Model with Vaccination2011

    • Author(s)
      M.Ishikawa
    • Journal Title

      International Journal of Innovative Computing, In formation and Control

      Volume: 7

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 確率感染症モデルの最適制御2011

    • Author(s)
      石川昌明
    • Journal Title

      第53回自動制御連合講演会講演論文集

      Volume: (CD-ROM)

    • NAID

      130005025971

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 外乱下の魚-プランクトン系における時空間パターン解析2011

    • Author(s)
      西村薫
    • Journal Title

      第20回計測自動制御学会中国支部学術講演会論文集

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 外乱を考慮した感染症伝播過程のシミュレーション解析と最適制御2011

    • Author(s)
      石川昌明
    • Journal Title

      日本応用数理学会2011年度年会発表論文集

    • Related Report
      2011 Annual Research Report
  • [Journal Article] ワクチン接種と外乱を考慮した感染症伝播過程のシミュレーション解析2011

    • Author(s)
      石川昌明
    • Journal Title

      第55回システム制御情報学会研究発表講演会講演論文集

      Volume: (CD-ROM)

    • Related Report
      2011 Annual Research Report
  • [Journal Article] On the Simulation Analysis for the Stochastic Infectious Model with Vaccination2011

    • Author(s)
      M.Ishikawa
    • Journal Title

      International Journal of Innovative Computing, Information and Control

      Volume: 7 Pages: 3-12

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spatio-temporal Patterns in Stochastic Plankton-fish Systems2011

    • Author(s)
      M.Ishikawa
    • Journal Title

      Proceeding of the 42nd International Symposium on Stochastic Systems Theory and Its Applications

      Volume: (印刷中)

    • NAID

      130007377370

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Spatio-temporal Structure in the Stochastic Diffusive SI Model2010

    • Author(s)
      M. Ishikawa
    • Journal Title

      International Journal of Innovative Computing, Information and Control

      Volume: 6 Pages: 63-73

    • NAID

      130007377334

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 強アリー効果を伴う確率感染症モデルの挙動解析2010

    • Author(s)
      石川 昌明
    • Journal Title

      第15回計算工学講演会論文集

      Volume: 15 Pages: 425-428

    • NAID

      40019571887

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] アリー効果を伴う確率感染症モデルのシミュレーション解析2010

    • Author(s)
      石川 昌明
    • Journal Title

      第54回システム制御情報学会研究発表講演会講演論文集

    • NAID

      130006985027

    • Related Report
      2012 Final Research Report
  • [Journal Article] 確率プランクトン系における魚による捕食の時空間パターンへの影響2010

    • Author(s)
      石川昌明
    • Journal Title

      第53回自動制御連合講演会講演論文集

      Volume: (CD-ROM)

    • NAID

      130005025788

    • Related Report
      2010 Annual Research Report
  • [Journal Article] アリー効果を伴う確率感染症モデルのシミュレーション解析2010

    • Author(s)
      石川昌明
    • Journal Title

      第54回システム制御情報学会研究発表講演会講演論文集

      Volume: (CD-ROM)

    • NAID

      130006985027

    • Related Report
      2010 Annual Research Report
  • [Presentation] 治療率を考慮した確率感染症モデルにおける最適ワクチン接種戦略2012

    • Author(s)
      石川 昌明
    • Organizer
      第55回自動制御連合講演会, 京都大学
    • Place of Presentation
      京都
    • Year and Date
      2012-11-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Stochastic Optimal Vaccination Problems for an SIR Model with Saturated Treatment, The 44th International Symposium on Stochastic Systems Theory and Its Applications2012

    • Author(s)
      M. Ishikawa
    • Organizer
      Kokushikan University
    • Place of Presentation
      Tokyo
    • Year and Date
      2012-11-02
    • Related Report
      2012 Final Research Report
  • [Presentation] Simulation Analysis of the Optimal Vaccination Strategy in the Stochastic Infectious Model2012

    • Author(s)
      M. Ishikawa
    • Organizer
      31st JSST Annual Conference, Integrated Research Center
    • Place of Presentation
      Kobe
    • Year and Date
      2012-09-28
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率 SIRV モデルにおける最適ワクチン接種戦略2012

    • Author(s)
      石川 昌明
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター,京都
    • Year and Date
      2012-05-30
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率感染症モデルとその最適制御2012

    • Author(s)
      石川 昌明
    • Organizer
      第12回計測自動制御学会制御部門 シンポジウム
    • Place of Presentation
      奈良県文化会館,奈良
    • Year and Date
      2012-03-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Stochastic Optimal Control of an SIR Epidemic Model with Vaccination2012

    • Author(s)
      石川昌明
    • Organizer
      12回計測自動制御学会制御部門大会
    • Place of Presentation
      奈良県文化会館(奈良市)
    • Year and Date
      2012-03-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stochastic Optimal Control of an SIR Epidemic Model with Vaccination2011

    • Author(s)
      M.Ishikawa
    • Organizer
      The 43rd International Symposium on Stochastic Systems Theory and Its Applications
    • Place of Presentation
      The Ship Bianca in Lake Biwa(大津市)
    • Year and Date
      2011-11-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 確率感染症モデルの最適制御2011

    • Author(s)
      石川 昌明
    • Organizer
      第54回自動制御連合講演会
    • Place of Presentation
      技術科学大学,豊橋
    • Year and Date
      2011-11-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率感染症モデルの最適制御2011

    • Author(s)
      石川昌明
    • Organizer
      第53回自動制御連合講演会
    • Place of Presentation
      豊橋技術科学大学(豊橋市)
    • Year and Date
      2011-11-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] 外乱を考慮した感染症伝播過程のシミュレーション解析と最適制御2011

    • Author(s)
      石川 昌明
    • Organizer
      日本応用数理学会2011 年度年会
    • Place of Presentation
      同志社大学,京都
    • Year and Date
      2011-09-15
    • Related Report
      2012 Final Research Report
  • [Presentation] 外乱を考慮した感染症伝播過程のシミュレーション解析と最適制御2011

    • Author(s)
      石川昌明
    • Organizer
      日本応用数理学会2011年度年会
    • Place of Presentation
      同志社大学今出川キャンパス(京都市)
    • Year and Date
      2011-09-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] ワクチン接種と外乱を考慮した感染症伝播過程のシミュレーション解析2011

    • Author(s)
      石川 昌明
    • Organizer
      第55回システム制御情報学会研究発表講演
    • Place of Presentation
      大阪大学コンベンションセンター,大阪
    • Year and Date
      2011-05-19
    • Related Report
      2012 Final Research Report
  • [Presentation] ワクチン接種と外乱を考慮した感染症伝播過程のシミュレーション解析2011

    • Author(s)
      石川昌明
    • Organizer
      第55回システム制御情報学会研究発表講演会
    • Place of Presentation
      大阪大学コンベンションセンター(吹田市)
    • Year and Date
      2011-05-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spatio-temporal Patterns in Stochastic Plankton fish Systems2010

    • Author(s)
      M.Ishikawa
    • Organizer
      The 42nd International Symposium on Stochastic Systems Theory and Its Applications
    • Place of Presentation
      岡山理科大学40周年記念館
    • Year and Date
      2010-11-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] 確率プランクトン系における魚による捕食の時空間パターンへの影響2010

    • Author(s)
      石川 昌明
    • Organizer
      第53回自動制御連合講演会
    • Place of Presentation
      第53回自動制御連合講演会
    • Year and Date
      2010-11-04
    • Related Report
      2012 Final Research Report
  • [Presentation] 確率プランクトン系における魚による捕食の時空間パターンへの影響2010

    • Author(s)
      石川昌明
    • Organizer
      第53回自動制御連合講演会
    • Place of Presentation
      高知城ホール
    • Year and Date
      2010-11-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] 強アリー効果を伴う確率感染症モデルの挙動解析2010

    • Author(s)
      石川 昌明
    • Organizer
      第15回計算工学講演会
    • Place of Presentation
      九州大学医学部百年講堂,福岡
    • Year and Date
      2010-05-28
    • Related Report
      2012 Final Research Report
  • [Presentation] 強アリー効果を伴う確率感染症モデルの挙動解析2010

    • Author(s)
      石川昌明
    • Organizer
      第15回計算工学講演会
    • Place of Presentation
      九州大学医学部百年講堂
    • Year and Date
      2010-05-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] アリー効果を伴う確率感染症モデルのシミュレーション解析2010

    • Author(s)
      石川 昌明
    • Organizer
      第54回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都リサーチパーク,京都
    • Year and Date
      2010-05-21
    • Related Report
      2012 Final Research Report
  • [Presentation] アリー効果を伴う確率感染症モデルのシミュレーション解析2010

    • Author(s)
      石川昌明
    • Organizer
      第54回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都リサーチパーク
    • Year and Date
      2010-05-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 治療率を考慮した確率感染症モデルにおける最適ワクチン接種戦略

    • Author(s)
      石川 昌明
    • Organizer
      第55回自動制御連合講演会
    • Place of Presentation
      京都大学(京都市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stochastic Optimal Vaccination Problems for an SIR Model with Saturated Treatmen

    • Author(s)
      M. Ishikawa
    • Organizer
      The 44th International Symposium on Stochastic Systems Theory and Its Applications
    • Place of Presentation
      国士舘大学(東京都)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Simulation Analysis of the Optimal Vaccination Strategy in the Stochastic Infectious Mode

    • Author(s)
      M. Ishikawa
    • Organizer
      The 31st JSST Annual Conference
    • Place of Presentation
      Integrated Research Center(神戸市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 確率SIRVモデルにおける最適ワクチン接種戦略

    • Author(s)
      石川 昌明
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター(京都市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 確率最適ワクチン接種問題

    • Author(s)
      石川 昌明
    • Organizer
      第56回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ(京都市)
    • Related Report
      2012 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi