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Mathematical consideration of new modeling for biological population dynamics

Research Project

Project/Area Number 24540129
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionTohoku University

Principal Investigator

SENO Hiromi  東北大学, 情報科学研究科, 教授 (50221338)

Project Period (FY) 2012-04-01 – 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 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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数理生物学 / 数理モデル / モデル化 / 応用数学 / 生態学 / 差分方程式 / 微分方程式 / 個体群動態 / 疫学
Outline of Final Research Achievements

The principal research subject is the mathematical relation of models with nonlinear difference equations and nonlinear differential equations for the theoretical study about the biological popoulation dynamics. In this research project, to be systematically discussed is the rationality of the mathematical structure in such models, that is, its logical relation to the biological structure of targeted phenomenon. It is aimed to provide with a mathematical base to promote some new mathematical modeling, and to analyze the mathematical model newly built by it. Especially for some typical mathematical models in mathematical ecology, this project focused the formulus of functions involved in them and revisited the modeling to find out some new raltionality in them. As a result, some new mathematical models in biological population dynamics were built with the system of difference equations, and considered their mathematical natures.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (15 results)

All 2015 2014 2013 2012 Other

All Journal Article (7 results) (of which Open Access: 1 results,  Peer Reviewed: 1 results) Presentation (8 results) (of which Invited: 1 results)

  • [Journal Article] メタ個体群モデルに関するモデリングの数理(A mathematical modeling for metapopulation dynamics)2015

    • Author(s)
      瀬野裕美, 佐藤一憲,齋藤保久
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1966 Pages: 41-52

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 複数パッチ環境下における個体群存続に対する閾パッチ数問題(Critical patch number problem for the population persistence in multi-patchy environment)2015

    • Author(s)
      瀬野裕美
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1937 Pages: 68-80

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
  • [Journal Article] 過去の履歴による影響を考慮した感染規模年次変動の数理モデル:疫学データへの適用可能性(A mathematical model for the annual variation of incidence size affected by past epidemic experience: Applicability to real data)2014

    • Author(s)
      瀬野裕美
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1917 Pages: 129-142

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Open Access
  • [Journal Article] 過去の感染規模が現在の予防水準に及ぼす影響を考慮した感染規模年変動の数理モデル(A simple mathematical model for the annual variation of epidemic outbreak with prevention level affected by past incidence sizes)2013

    • Author(s)
      瀬野裕美,寺田恵華,井上美香
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1853 Pages: 141-157

    • Related Report
      2013 Research-status Report
  • [Journal Article] 外来捕食者侵入による見かけの競争の効果の変質に関する数理モデル解析(Analaysis of a mathematical model on the modification of apparent competition effect with the invasion of alien predator)2012

    • Author(s)
      瀬野裕美,恩田 芳
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1796 Pages: 141-157

    • Related Report
      2012 Research-status Report
  • [Journal Article] 離散時間モデルによる感染症伝染ダイナミクスにおける感染個体再生産数(Reproduction numbers of infectives for a time-discrete epidemic population dynamics model)2012

    • Author(s)
      瀬野裕美
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1789 Pages: 35-45

    • Related Report
      2012 Research-status Report
  • [Journal Article] A mathematical model of population dynamics for Batesian mimicry system2012

    • Author(s)
      H. Seno and T. Kohno
    • Journal Title

      Journal of Biological Dynamics

      Volume: 6 Issue: 2 Pages: 1034-1051

    • DOI

      10.1080/17513758.2012.672659

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Mathematical Modeling on Biology2015

    • Author(s)
      Hiromi Seno
    • Organizer
      Intensive Workshop: Mathematical Modelling on Biology
    • Place of Presentation
      Kyungpook National University, Daegu, Korea
    • Year and Date
      2015-02-22 – 2015-02-25
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 複数パッチ環境下における個体群存続に対する閾パッチ数問題(Critical patch number problem for the population persistence in patchy environment)2014

    • Author(s)
      瀬野裕美
    • Organizer
      京都大学数理解析研究所共同利用研究集会「第11回生物数学の理論とその応用」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-09-17
    • Related Report
      2014 Research-status Report
  • [Presentation] A Mathematical Model for Annual Variation of Incidence Size Affected by Past Epidemic Experience2014

    • Author(s)
      Hiromi Seno
    • Organizer
      The Joint Annual Meeting of the Japanese Society for Mathematical Biology and the Society for Mathematical Biology
    • Place of Presentation
      大阪国際会議場
    • Year and Date
      2014-07-30
    • Related Report
      2014 Research-status Report
  • [Presentation] A Time-Discrete SIRS Model and Total Reproduction Number2012

    • Author(s)
      Hiromi Seno
    • Organizer
      BIOCOMP2012 ― Mathematical Modeling and Computational Topics in Biosciences
    • Place of Presentation
      Lloyd's Baia Hotel, Vietri sul Mare, Italy
    • Related Report
      2012 Research-status Report
  • [Presentation] 過去の感染規模が現在の予防水準に及ぼす影響を考慮した感染規模年変動の数理モデル(A simple mathematical model for the annual variation of epidemic outbreak with prevention level affected by past incidence sizes)2012

    • Author(s)
      瀬野裕美
    • Organizer
      京都大学数理解析研究所共同利用研究集会 「第9回 生物数学の理論とその応用」
    • Place of Presentation
      京都大学数理解析研究所(京都)
    • Related Report
      2012 Research-status Report
  • [Presentation] 子に対する教育投資への親の意識分布の世代間遷移ダイナミクスモデル(Mathematical model on generational transition of parents' attitude in educational investment for child)

    • Author(s)
      瀬野裕美
    • Organizer
      日本数理生物学会第23回大会
    • Place of Presentation
      静岡大学(浜松)
    • Related Report
      2013 Research-status Report
  • [Presentation] 過去の感染規模が現在の予防水準に及ぼす影響を考慮した感染規模年変動の数理モデル(A simple mathematical model for the annual variation of epidemic outbreak with prevention level affected by past incidence sizes)

    • Author(s)
      瀬野裕美
    • Organizer
      日本数学会2013年度秋季総合分科会
    • Place of Presentation
      愛媛大学(松山)
    • Related Report
      2013 Research-status Report
  • [Presentation] 過去の感染規模が予防水準に及ぼす影響を考慮した数理モデルと感染規模年次変動データ(A mathematical model for the annual variation of epidemic outbreak with prevention level affected by past incidence size: With perspective on comparison to real data)

    • Author(s)
      瀬野裕美
    • Organizer
      京都大学数理解析研究所共同利用研究集会「第10回生物数学の理論とその応用」
    • Place of Presentation
      京都大学数理解析研究所(京都)
    • Related Report
      2013 Research-status Report

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

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