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

2008 Fiscal Year Final Research Report

• Project/Area Number: 19540132
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Hiroshima University
• Principal Investigator: SENO Hiromi Hiroshima University, 大学院・理学研究科, 准教授 (50221338)
• Project Period (FY): 2007 – 2008
• Keywords: 応用数学 / モデル化 / 生態学 / 数理生物学

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。

Research Products

• [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
• [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
• [Journal Article] A paradox in discrete single species population dynamics with harvesting/thinning (2008)
  • Author(s): Seno, H.
  • Journal Title: Math. Biosci. 214 Pages: 63-69
  • Peer Reviewed
• [Journal Article] Lotka-Volterra two species system with periodic interruption of competition (2008)
  • Author(s): Nakajima, H., Yonejima, K., Matsuoka, T. and Seno, H.
  • Journal Title: J. Biol. Sys. 16 Pages: 295-308
  • Peer Reviewed
• [Journal Article] cological balance in the native population dynamics may cause the paradox of pest control with harvesting (2008)
  • Author(s): Matsuoka, T. and Seno, H.
  • Journal Title: J. theor. Biol. 252 Pages: 87-97
  • Peer Reviewed
• [Journal Article] Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space (2007)
  • Author(s): Seno, H.
  • Journal Title: Math. Model. Nat. Phenom. 2 Pages: 105-121
  • Peer Reviewed
• [Journal Article] A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model (2007)
  • Author(s): Seno, H.
  • Journal Title: J. Diff. Eqns. Appl. 13 Pages: 1155-1170
  • 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
• [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
  • Year and Date: 20090113-16
• [Presentation] A Multi-Community Epidemic Model with Central Infection Place (2008)
  • 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
  • Year and Date: 20081029-1101
• [Presentation] Population Size Control with Harvesting/Thinning in Discrete Population Dynamics (2008)
  • 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
  • Year and Date: 20081027-29
• [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
  • Year and Date: 20081018-19
• [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics (2008)
  • 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
  • Year and Date: 20080901-04
• [Presentation] A Paradoxical Outbreak Caused by Harvesting/Thinning in Discrete Population Dynamics (2008)
  • Author(s): H. Seno
  • Organizer: The Second China-Japan Colloquium of Mathematical Biology
  • Place of Presentation: Okayama University, Okayama, Japan
  • Year and Date: 20080804-07
• [Presentation] Phase-Compartmental Model on Transport-Related Infection (2007)
  • Author(s): Y. Saito and H. Seno
  • Organizer: KMS 2007 Autumn Conference
  • Place of Presentation: Korea Advanced Institute of Science and Technology
  • Year and Date: 20071020-21
• [Presentation] Indirect Effect May Cause The Paradox of Pest Control (2007)
  • 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
  • Year and Date: 20070924-28
• [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control (2007)
  • 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
  • Year and Date: 20070903-05
• [Presentation] Phase-Compartment Model for Transport-Related Disease Infection (2007)
  • 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
  • Year and Date: 20070731-0803
• [Presentation] Interspecific Reaction May Cause The Paradox of Pest Control (2007)
  • Author(s): H. Seno and T. Matsuoka
  • Organizer: SMB/JSMB Joint Meeting
  • Place of Presentation: San Jose, CA, USA
  • Year and Date: 20070731-0803
• [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
• [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