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On the mathematically rational structure of the time-discrete model for biological population dynamics

Research Project

Project/Area Number 19540132
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHiroshima University

Principal Investigator

SENO Hiromi  Hiroshima University, 大学院・理学研究科, 准教授 (50221338)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2007: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords応用数学 / モデル化 / 生態学 / 数理生物学 / 数理モデル / 誘導多発生 / 差分方程式 / 伝染病 / 離散時間
Research Abstract

本研究では, 生物個体群動態(生物の総個体数や密度などの時間変動の様相)に関して, 理論的研究に用いられてきた非線形差分方程式系による離散時間モデルの構造(関数形etc.)の生物現象の構造との論理的な整合性について体系的に数理的な考察を行った。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (37 results)

All 2009 2008 2007

All Journal Article (14 results) (of which Peer Reviewed: 11 results) Presentation (19 results) Book (4 results)

  • [Journal Article] 生態学的相互作用が害虫駆除による害虫増加を引き起こす-数理モデルによって示唆される新しい可能性(Native interspecific reaction may cause the paradox of pest control : A new possibility implied by mathematical model)2008

    • Author(s)
      瀬野裕美
    • Journal Title

      京都大学数理解析研究所講究録 1597

      Pages: 167-172

    • Related Report
      2008 Final Research Report
  • [Journal Article] 移動相の効果を含む感染症流行モデル2008

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

      京都大学数理解析研究所講究録 1597

      Pages: 198-203

    • Related Report
      2008 Final Research Report
  • [Journal Article] A paradox in discrete single species population dynamics with harvesting/thinning2008

    • Author(s)
      Seno, H.
    • Journal Title

      Math. Biosci. 214

      Pages: 63-69

    • NAID

      120001255525

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lotka-Volterra two species system with periodic interruption of competition2008

    • Author(s)
      Nakajima, H., Yonejima, K., Matsuoka, T. and Seno, H.
    • Journal Title

      J. Biol. Sys. 16

      Pages: 295-308

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] cological balance in the native population dynamics may cause the paradox of pest control with harvesting2008

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

      J. theor. Biol. 252

      Pages: 87-97

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A paradox in discrete single species population dynamics with harvesting/thinning.2008

    • Author(s)
      Hiromi Seno
    • Journal Title

      Mathematical Biosciences 214

      Pages: 63-69

    • NAID

      120001255525

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lotka-Volterra two species system with periodic interruption of competition.2008

    • Author(s)
      Hisao Nakajima, Kaori Yonejima, Tsutomu Matsuoka, Hiromi Seno
    • Journal Title

      Journal of Biological Systems 16

      Pages: 295-308

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ecological balance in the native population dynamics may cause the paradox of pest control with harvesting.2008

    • Author(s)
      Tsutomu Matsuoka, Hiromi Seno
    • Journal Title

      Journal of Theoretical Biology 252

      Pages: 87-97

    • NAID

      120001041381

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space2007

    • Author(s)
      Seno, H.
    • Journal Title

      Math. Model. Nat. Phenom. 2

      Pages: 105-121

    • NAID

      120001255526

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model2007

    • Author(s)
      Seno, H.
    • Journal Title

      J. Diff. Eqns. Appl. 13

      Pages: 1155-1170

    • NAID

      120001332118

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 離散時間個体群動態モデルにおける密度効果の数理モデリング(Mathematical modelling for density effect in timediscrete population dynamics model)2007

    • Author(s)
      瀬野裕美
    • Journal Title

      京都大学数理解析研究所講究録 1556

      Pages: 11-58

    • Related Report
      2008 Final Research Report
  • [Journal Article] A mathematical modelling for the cheliped regeneration with handedness in fiddler crab.2007

    • Author(s)
      Hiromi Seno
    • Journal Title

      Bulletin of Mathematical Biology 69

      Pages: 77-92

    • NAID

      120000875331

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A mathematical model on the optimal timing of offspring desertion.2007

    • Author(s)
      Hiromi Seno
    • Journal Title

      Journal of Theoretical Biology 246

      Pages: 555-563

    • NAID

      120000875321

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model.2007

    • Author(s)
      Hiromi Seno
    • Journal Title

      Journal of Difference Equations and Applications 13

      Pages: 1155-1170

    • NAID

      120001332118

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Some Remarks on Time-Discrete Models for the Epidemic Population Dynamics(感染症個体群動態に関する時間離散モデルについての考察)2009

    • Author(s)
      H. Seno
    • Organizer
      京都大学数理解析研究所共同利用研究集会「第5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
      2008 Final Research Report
  • [Presentation] Population Size Control with Harvesting/Thinning in Discrete Population Dynamics.2008

    • Author(s)
      Hiromi Seno
    • Organizer
      The Japan-France CNRS Laboratory ReaDiLab (LIA 197) 2008 Conference on Mathematical Understanding of Complex Phenomena Arising in Biology, Biomimetic Systems and Medicine
    • Place of Presentation
      明治大学駿河台キャンパス, 東京
    • Year and Date
      2008-10-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 離散時間モデルにおける駆除/間引きによる逆説的増加に関する研究(On a paradoxical outbreak caused by harvesting/thinning in discrete population dynamics)2008

    • Author(s)
      Hiromi Seno
    • Organizer
      第24回個体群生態学会 年次大会
    • Place of Presentation
      東京大学本郷キャンパス, 東京
    • Year and Date
      2008-10-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics.2008

    • Author(s)
      Hiromi Seno
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2008
    • Place of Presentation
      五ヶ村集落センター, 宮崎県西臼杵郡高千穂町
    • Year and Date
      2008-09-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics.2008

    • Author(s)
      Hiromi Seno
    • Organizer
      The Second China-Japan Colloquium of Mathematical Biology
    • Place of Presentation
      岡山大学, 岡山
    • Year and Date
      2008-08-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Multi-Community Epidemic Model with Central Infection Place2008

    • Author(s)
      Y. Saito and H. Seno
    • Organizer
      R0 and Related Concepts : Methods and Illustrations
    • Place of Presentation
      SAF, agriculteurs de France, 8 rue d'Athenes 75009, Paris, France
    • Related Report
      2008 Final Research Report
  • [Presentation] Population Size Control with Harvesting/Thinning in Discrete Population Dynamics2008

    • Author(s)
      H. Seno
    • Organizer
      The Japan-France CNRS Laboratory ReaDiLab (LIA 197) 2008 Conference on Mathematical Understanding of Complex Phenomena Arising in Biology, Biomimetic Systems and Medicine
    • Place of Presentation
      明治大学駿河台キャンパス, 東京
    • Related Report
      2008 Final Research Report
  • [Presentation] 離散時間モデルにおける駆除/間引きによる逆説的増加に関する研究(On a paradoxical outbreak caused by harvesting/thinning in discrete population dynamics)2008

    • Author(s)
      H. Seno
    • Organizer
      第24回個体群生態学会年次大会
    • Place of Presentation
      東京大学本郷キャンパス, 東京
    • Related Report
      2008 Final Research Report
  • [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics2008

    • Author(s)
      H. Seno
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2008
    • Place of Presentation
      五ヶ村集落センター, 宮崎県西臼杵郡高千穂町
    • Related Report
      2008 Final Research Report
  • [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics2008

    • Author(s)
      H. Seno
    • Organizer
      The Second China-Japan Colloquium of Mathematical Biology
    • Place of Presentation
      Okayama University, Okayama, Japan
    • Related Report
      2008 Final Research Report
  • [Presentation] Phase-Compartmental Model on Transport-Related Infection.2007

    • Author(s)
      Yasuhisa Saito
    • Organizer
      KMS 2007 Autumn Conference
    • Place of Presentation
      Korea Advanced Institute of Science and Technology, Korea
    • Year and Date
      2007-10-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Indirect Effect May Cause The Paradox of Pest Control.2007

    • Author(s)
      Hiromi Seno
    • Organizer
      BIOCOMP2007-Collective Dynamics: Topics on Com-petition and Cooperation in the Biosciences
    • Place of Presentation
      Lloyd's Baia Hotel, Vietrisul Mare, Salerno, Italy
    • Year and Date
      2007-09-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control.2007

    • Author(s)
      Hiromi Seno
    • Organizer
      ReaDiLab Conference "Mathematical modeling and analysis in biological and chemical systems"
    • Place of Presentation
      University of Paris-Sud XI, Orsay, and IHES, Bures-sur-Yvette. France
    • Year and Date
      2007-09-04
    • Related Report
      2007 Annual Research Report
  • [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control.2007

    • Author(s)
      Hiromi Seno
    • Organizer
      SMB/JSMB Joint Meeting
    • Place of Presentation
      San Jose, CA, USA
    • Year and Date
      2007-08-02
    • Related Report
      2007 Annual Research Report
  • [Presentation] Phase-Compartmental Model on Transport-Related Infection2007

    • Author(s)
      Y. Saito and H. Seno
    • Organizer
      KMS 2007 Autumn Conference
    • Place of Presentation
      Korea Advanced Institute of Science and Technology
    • Related Report
      2008 Final Research Report
  • [Presentation] Indirect Effect May Cause The Paradox of Pest Control2007

    • Author(s)
      H. Seno and T. Matsuoka
    • Organizer
      BIOCOMP2007-Collective Dynamics : Topics on Competition and Cooperation in the Biosciences
    • Place of Presentation
      Lloyd's Baia Hotel, Vietri sul Mare, Salerno,Italy
    • Related Report
      2008 Final Research Report
  • [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control2007

    • Author(s)
      H. Seno and T. Matsuoka
    • Organizer
      ReaDiLab Conference "Mathematical modeling and analysis in biological and chemical systems"
    • Place of Presentation
      University of Paris-Sud XI, Orsay, and IHES, Bures-sur-Yvette, France
    • Related Report
      2008 Final Research Report
  • [Presentation] Phase-Compartment Model for Transport-Related Disease Infection2007

    • Author(s)
      Y. Saito and H. Seno
    • Organizer
      SMB/JSMB Joint Meeting, the minisymposium "Coupling epidemiological and ecological predation-competition models (Eco-epidemiology)" (organized by F.M. Hilker and H. Malchow)
    • Place of Presentation
      San Jose, CA, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control2007

    • Author(s)
      H. Seno and T. Matsuoka
    • Organizer
      SMB/JSMB Joint Meeting
    • Place of Presentation
      San Jose, CA, USA
    • Related Report
      2008 Final Research Report
  • [Book] 第1章個体群動態の数理モデリング序論「『数』の数理生物学」(日本数理生物学会編, 瀬野裕美責任編集)2008

    • Author(s)
      瀬野裕美
    • Total Pages
      43
    • Publisher
      共立出版, 東京
    • Related Report
      2008 Final Research Report
  • [Book] 『数』の数理生物学2008

    • Author(s)
      瀬野裕美, ほか
    • Total Pages
      224
    • Publisher
      共立出版株式会社
    • Related Report
      2008 Annual Research Report
  • [Book] 数理生物学-個体群動態の数理モデリング入門2007

    • Author(s)
      瀬野裕美
    • Total Pages
      352
    • Publisher
      共立出版, 東京
    • Related Report
      2008 Final Research Report
  • [Book] 数理生物学-個体群動態の数理モデリング入門2007

    • Author(s)
      瀬野裕美
    • Total Pages
      352
    • Publisher
      共立出版株式会社
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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