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Application of lattice Lotka-Volterra model to biological and ecological systems

Research Project

Project/Area Number 15K00334
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Soft computing
Research InstitutionShizuoka University

Principal Investigator

Tainaka Kei-ichi  静岡大学, 創造科学技術大学院, 客員教授 (30142227)

Co-Investigator(Kenkyū-buntansha) 吉村 仁  静岡大学, 創造科学技術大学院, 教授 (10291957)
宮崎 倫子  静岡大学, 工学部, 教授 (40244660)
上原 隆司  名古屋短期大学, 保育科, 准教授 (40621660)
Research Collaborator Morishita Ayako  
Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywordsロトカボルテラ模型 / 生物進化 / 格子シミュレーション / 数理生態学 / メタ個体群 / 生物移動 / ネットワーク / 格子ロトカボルテラ模型 / 反応拡散方程式 / 反応移動方程式 / 交通流 / ハブと非ハブノード / 生態系シミュレーション / 生物共生 / 進化シミュレーション / 最適化 / 進化ゲーム / 長寿企業 / 共生系 / 確率セルオートマトン / ロトカボルテラ / 生物共生系 / 必須共生 / 片利共生 / 格子気体モデル / 比率の進化
Outline of Final Research Achievements

We apply lattice simulations to biological and ecological systems. Two main subjects have been studied. (1) Dynamics in win-win systems. The optimal strategy usually beats any other strategies. However, we consider the optimal strategy for survival. We present a theory of “ratio selection” which is the generalization of sex-ratio selection. The dynamics for win-win system is also applied to long-term forecast in business study. (2) Metapopulation model. In general, a species lives in spatially separated patches. When there are links (paths) between patches, the links and patches form a network.. It is found that the dynamics of metapopulation model are largely affected by network structure of spatially separated habitats.

Academic Significance and Societal Importance of the Research Achievements

これまで生物共生系の数理モデルは、複雑であった。我々は、格子シミュレーション模型を適用することによって、生物共生系における初めての使いやすい数理モデルを提案した。この数理モデルは、経営学における長期予測にも適用された。日本の老舗企業は、自社の利益だけでなく、むしろ協調戦略を重視する。協調によって「生き残る」戦略は、自社のシェア拡大を最優先する「打ち勝つ」戦略よりも優れていると考える。この成果は、今後の商学における革命になる可能性がある。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (23 results)

All 2019 2018 2017 2016

All Journal Article (23 results) (of which Int'l Joint Research: 22 results,  Peer Reviewed: 23 results,  Open Access: 9 results,  Acknowledgement Compliant: 4 results)

  • [Journal Article] Cooperation promotes the sustainability of companies: Lattice-gas model for a market2019

    • Author(s)
      Morishita Ayako、Tainaka Kei-ichi
    • Journal Title

      Physica A: Statistical Mechanics and its Applications

      Volume: 525 Pages: 119-127

    • DOI

      10.1016/j.physa.2019.03.005

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Epidemic spreading of random walkers in metapopulation model on an alternating graph2019

    • Author(s)
      Nagatani Takashi、Ichinose Genki、Tainaka Kei-ichi
    • Journal Title

      Physica A: Statistical Mechanics and its Applications

      Volume: 520 Pages: 350-360

    • DOI

      10.1016/j.physa.2019.01.033

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Metapopulation dynamics in the rock-paper-scissors game with mutation: Effects of time-varying migration paths2019

    • Author(s)
      Nagatani Takashi、Ichinose Genki、Tainaka Kei-ichi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 462 Pages: 425-431

    • DOI

      10.1016/j.jtbi.2018.11.030

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Density-dependent population model of effective release policy for Ayu fish2018

    • Author(s)
      Katsumata Yuki、Uehara Takashi、Ito Hiromu、Yoshimura Jin、Tainaka Kei-ichi、Ichinose Genki
    • Journal Title

      Ecological Modelling

      Volume: 388 Pages: 80-87

    • DOI

      10.1016/j.ecolmodel.2018.09.021

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Metapopulation model of rock-scissors-paper game with subpopulation-specific victory rates stabilized by heterogeneity2018

    • Author(s)
      Nagatani Takashi、Tainaka Kei-ichi、Ichinose Genki
    • Journal Title

      Journal of Theoretical Biology

      Volume: 458 Pages: 103-110

    • DOI

      10.1016/j.jtbi.2018.09.009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic stability of a modified Lotka-Volterra model with small immigrations2018

    • Author(s)
      Tahara Takeru、Gavina Maica Krizna Areja、Kawano Takenori、Tubay Jerrold M.、Rabajante Jomar F.、Ito Hiromu、Morita Satoru、Ichinose Genki、Okabe Takuya、Togashi Tatsuya、Tainaka Kei-ichi、Shimizu Akira、Nagatani Takashi、Yoshimura Jin
    • Journal Title

      Scientific Reports

      Volume: 8 Issue: 1 Pages: 1-7

    • DOI

      10.1038/s41598-018-25436-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game2018

    • Author(s)
      Nagatani Takashi、Ichinose Genki、Tainaka Kei-ichi
    • Journal Title

      Scientific Reports

      Volume: 8 Issue: 1

    • DOI

      10.1038/s41598-018-25353-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Epidemics of random walkers in metapopulation model for complete, cycle, and star graphs2018

    • Author(s)
      Nagatani Takashi、Ichinose Genki、Tainaka Kei-ichi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 450 Pages: 66-75

    • DOI

      10.1016/j.jtbi.2018.04.029

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Metapopulation model for rock-paper-scissors game: mutation affects paradoxical impacts.2018

    • Author(s)
      T. Nagatani, G. Ichinose and K. Tainaka
    • Journal Title

      Journal of Theoretical Biology

      Volume: in press Pages: 22-29

    • DOI

      10.1016/j.jtbi.2018.04.005

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Multi-species coexistence in Lotka-Volterra competitive systems with crowding effects2018

    • Author(s)
      Gavina Maica Krizna A.、Tahara Takeru、Tainaka Kei-ichi、Ito Hiromu、Morita Satoru、Ichinose Genki、Okabe Takuya、Togashi Tatsuya、Nagatani Takashi、Yoshimura Jin
    • Journal Title

      Scientific Reports

      Volume: 8 Issue: 1 Pages: 1-8

    • DOI

      10.1038/s41598-017-19044-9

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Cellular automaton for migration in ecosystem: application of traffic model to a predator-prey system2018

    • Author(s)
      T. Nagatani and K. Tainaka
    • Journal Title

      Physica A

      Volume: 490 Pages: 803-807

    • DOI

      10.1016/j.physa.2017.08.151

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Clustering effect on the dynamics in a spatial rock-paper-scissors system2018

    • Author(s)
      T. Hashimoto, K. Sato, G. Ichinose, R. Miyazaki and K. Tainaka
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 87 Issue: 1 Pages: 014801-014801

    • DOI

      10.7566/jpsj.87.014801

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Traffic jams induce dynamical phase transition in spatial rock-paper-scissors game2018

    • Author(s)
      T. Nagatani, G. Ichinose and K. Tainaka
    • Journal Title

      Physica A

      Volume: 492 Pages: 1081-1087

    • DOI

      10.1016/j.physa.2017.11.038

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Territory holders and non-territory holders in Ayu fish coexist only in the population growth process due to territorial hysteresis2017

    • Author(s)
      Y. Katsumata, T. Uehara, H. Ito, J. Yoshimura, K. Tainaka and G. Ichinose
    • Journal Title

      Scientific Reports

      Volume: 7 Issue: 1 Pages: 1-7

    • DOI

      10.1038/s41598-017-16859-4

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Effect of directional migration on Lotka-Volterra system with desert2017

    • Author(s)
      T. Nagatani, K. Tainaka and G. Ichinose
    • Journal Title

      BioSystems

      Volume: 162 Pages: 75-80

    • DOI

      10.1016/j.biosystems.2017.09.015

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Epidemic spreading in unidirectional mobile agents2017

    • Author(s)
      T. Nagatani, G. Ichinose and K. Tainaka
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 86 Issue: 11 Pages: 113001-113001

    • DOI

      10.7566/jpsj.86.113001

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Effects of Rainfall on the Population Dynamics of an Endangered Aquatic Plant,Schoenoplectus gemmifer (Cyperaceae)2016

    • Author(s)
      Koshi Kitamura,Satoshi Kakishima,Takashi Uehara,Satoru Morita,Keiichi Tainaka,Jin Yoshimura
    • Journal Title

      PLoS ONE

      Volume: 11 Issue: 6 Pages: 1-13

    • DOI

      10.1371/journal.pone.0157773

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Population dynamics for freshwater species with cyclic relation.2016

    • Author(s)
      Sugiura, K. Hosoda A, Miyazaki R, Kanoh Y and Tainaka K.
    • Journal Title

      Far East Journal of Applied Mathematics

      Volume: 94 Issue: 4 Pages: 247-260

    • DOI

      10.17654/am094040247

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Lattice gas model for iterated prisoner’s dilemma games: emergency of altruism in a company2016

    • Author(s)
      Yokoi, H. Morishita, A. Tateoka, Y. Tainaka K
    • Journal Title

      Theoretical Economics Letters

      Volume: 6 Issue: 02 Pages: 324-329

    • DOI

      10.4236/tel.2016.62036

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A theory of ratio selection2016

    • Author(s)
      Tainaka K and Hashimoto T
    • Journal Title

      Open Journal of Ecology

      Volume: 6 Issue: 06 Pages: 303-311

    • DOI

      10.4236/oje.2016.66030

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A simple model for factory distribution: historical effect in an industry city2016

    • Author(s)
      T. Uehara, K. Sato, S. Morita, Y. Maeda, J. Yoshimura and K. Tainaka
    • Journal Title

      PHYSICA A - STATISTICAL MECHANICS AND ITS APPLICATIONS

      Volume: 444 Pages: 213-219

    • DOI

      10.1016/j.physa.2015.10.001

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Population dynamics for freshwater species with cyclic relation2016

    • Author(s)
      Sugiura, K. Hosoda A, Miyazaki R, Kanoh Y and Tainaka K.
    • Journal Title

      Far East Journal of Applied Mathematics

      Volume: 94 Pages: 247-260

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] 浜松市中途川におけるハタベカンガレイの個体群動態と保全の試行2016

    • Author(s)
      北村孔志・柿嶋聡・泰中啓一・吉村仁
    • Journal Title

      莎草研究

      Volume: 20

    • Related Report
      2015 Research-status Report
    • Peer Reviewed

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Published: 2015-04-16   Modified: 2020-03-30  

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