Mathematical modeling for the biological phenomenon involving some processes with different time scales

• Project/Area Number: 18K03407
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 12040:Applied mathematics and statistics-related
• Research Institution: Tohoku University
• Principal Investigator: Seno Hiromi 東北大学, 情報科学研究科, 教授 (50221338)
• Project Period (FY): 2018-04-01 – 2023-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 数理生物学 / population dynamics / 数理モデル / 時間スケール / 感染症 / ヒト集団 / 情報伝搬 / 社会応答 / 人口集団 / ゲーム依存症 / 感染予防行動 / 基本再生産数 / 数理モデリング

Outline of Final Research Achievements

The purpose of this research project is to present a novel perspective to the theoretical research with the mathematical modeling about the nature of biological population dynamics which consists of processes with different time scales. In today's society the time scale of the dynamics of information transmission on a disease spread is faster than that of the dynamics of disease transmission itself. With analyses on some fundamental mathematical models, we have obtained theoretical results to imply that the social response (a sort of collective behavior in human society) induced by such an information spread could be an important factor to cause a repetitive outbreaks of spreading disease.

Academic Significance and Societal Importance of the Research Achievements

本研究課題において実施した研究においては，ヒト集団における感染症の伝染ダイナミクスがヒト集団の集団行動に依存する特性をもつことに焦点を当て，新しい数理モデリング，数理モデルによる理論研究の課題を提示することができた。感染症の伝染ダイナミクスは，時間スケールの異なる過程が複合的に構成する典型的なダイナミクスであり，コロナ禍を経て，このような分野横断的な研究課題が重要な科学的意味をもつことも改めて認識されている。今後の感染症伝染ダイナミクスの理論的基礎研究の発展の一助となる研究成果が得られたと考えている。

Research Products

• [Int'l Joint Research] Universitas Indonesia(インドネシア)
• [Int'l Joint Research] Department of Mathematical Sciences/School of Physical Sciences/Federal University of Technology Akure(ナイジェリア)
• [Int'l Joint Research] Prof. Horst Malchow/School of Mathematics/Computer Science/Osnabrueck University(ドイツ)
• [Int'l Joint Research] Dr. Merlin C. Koehnke/School of Mathematics/Computer Science/Osnabrueck University(ドイツ)
• [Int'l Joint Research] Dr. Dipo Aldila/Department of Mathematics/Universitas Indonesia(インドネシア)
• [Int'l Joint Research] Dr. Dipo Aldila/Department of Mathematics/Universitas Indonesia(インドネシア)
• [Journal Article] Species extinction in different time scales: Comment on “Knowledge gaps and missing links in understanding mass extinctions: Can mathematical modeling help?” by Ivan Sudakow et al. (2023)
  • Author(s): Seno Hiromi
  • Journal Title: Physics of Life Reviews Volume: 44 Pages: 176-178
  • DOI: 10.1016/j.plrev.2023.01.014
  • Peer Reviewed
• [Journal Article] A Mathematical Model for the Dynamics of Information Spread under the Effect of Social Response (2022)
  • Author(s): Dansu Emmanuel J.、Seno Hiromi
  • Journal Title: Interdisciplinary Information Sciences Volume: 28 Issue: 1 Pages: 75-93
  • DOI: 10.4036/iis.2022.R.03
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] A mathematical model of population dynamics about the internet gaming addiction (2021)
  • Author(s): Hiromi Seno
  • Journal Title: Nonlinear Analysis: Modelling and Control Volume: 26 Issue: 5 Pages: 861-883
  • DOI: 10.15388/namc.2021.26.24177
  • Peer Reviewed / Open Access
• [Journal Article] How many preys could coexist with a shared predator in the Lotka-Volterra system?: State transition by species deletion/introduction (2020)
  • Author(s): Seno Hiromi、Schneider Victor P、Kimura Toshihiko
  • Journal Title: Journal of Physics A: Mathematical and Theoretical Volume: 53 Issue: 41 Pages: 415601-415601
  • DOI: 10.1088/1751-8121/abadb8
  • Peer Reviewed
• [Journal Article] A type IV functional response with different shapes in a predator-prey model (2020)
  • Author(s): K?hnke Merlin C.、Siekmann Ivo、Seno Hiromi、Malchow Horst
  • Journal Title: Journal of Theoretical Biology Volume: 505 Pages: 110419-110419
  • DOI: 10.1016/j.jtbi.2020.110419
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] An SIS model for the epidemic dynamics with two phases of the human day-to-day activity (2020)
  • Author(s): Seno Hiromi
  • Journal Title: Journal of Mathematical Biology Volume: 80 Issue: 7 Pages: 2109-2140
  • DOI: 10.1007/s00285-020-01491-0
  • Peer Reviewed
• [Journal Article] A model for epidemic dynamics in a community with visitor subpopulation (2019)
  • Author(s): Emmanuel J. DANSU and Hiromi SENO
  • Journal Title: J. Theor. Biol. Volume: 478 Pages: 115-127
  • DOI: 10.1016/j.jtbi.2019.06.020
  • Peer Reviewed
• [Journal Article] A population dynamics model of mosquito-borne disease transmission, focusing on mosquitoes' biased distribution and mosquito repellent use (2019)
  • Author(s): Dipo ALDILA and Hiromi SENO
  • Journal Title: Bull. Math. Biol. Volume: 81(2) Issue: 12 Pages: 4977-5008
  • DOI: 10.1007/s11538-019-00666-1
  • Peer Reviewed / Int'l Joint Research
• [Presentation] A Population Dynamics Model for the Information Spread in a Community with the Heterogeneity of Individuality (2022)
  • Author(s): Hiromi Seno
  • Organizer: MPDEE 2022: Models in Population Dynamics, Ecology and Evolution
  • Int'l Joint Research
• [Presentation] 集団内での情報流布に関する個体群ダイナミクスモデル: 個性分布への依存性 (2022)
  • Author(s): 瀬野裕美
  • Organizer: 日本数理生物学会2022年年会
• [Presentation] An epidemic dynamics model for reinfectious disease: The influence of visitor acceptance (2022)
  • Author(s): Y. Xie, I. Ahmad, T.I.S. Ikpe, E.F. Sofia, H. Seno
  • Organizer: 日本数理生物学会2022年年会
• [Presentation] A Mathematical Model of Population Dynamics about The Internet Gaming Addiction (2021)
  • Author(s): Hiromi Seno
  • Organizer: The 12th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2021
  • Int'l Joint Research
• [Presentation] A Population Dynamics Model for Information Spread under The Effect of Social Response (2021)
  • Author(s): Emmanuel J. Dansu, Hiromi Seno
  • Organizer: The 12th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2021
  • Int'l Joint Research
• [Presentation] A mathematical model for the influence of the social insensitivity on the SIS epidemic dynamics: Occurrence of oscillatory behavior (2021)
  • Author(s): Ying Xie, Hiromi Seno
  • Organizer: 日本数理生物学会第31回大会
• [Presentation] A mathematical consideration on the effect of regional lockdown on the final epidemic size (2021)
  • Author(s): Zhiqiong Fu, Hiromi Seno
  • Organizer: 日本数理生物学会第31回大会
• [Presentation] A model for the effect of limited isolation capacity on the final epidemic size (2021)
  • Author(s): Ishfaq Ahmad, Hiromi Seno
  • Organizer: 日本数理生物学会第31回大会
• [Presentation] A mathematical consideration on the disease spread in a community with two activity classes (2021)
  • Author(s): Elza F. Sofia, Hiromi Seno
  • Organizer: 日本数理生物学会第31回大会
• [Presentation] 集団内での情報流布に関する個体群ダイナミクスモデル (2021)
  • Author(s): 瀬野裕美
  • Organizer: 日本数理生物学会第31回大会
• [Presentation] A Mathematical Model for The Influence of The Social Insensitivity on The Epidemic Dynamics (2020)
  • Author(s): Ying XIE and Hiromi SENO
  • Organizer: 日本数理生物学会第30回大会
• [Presentation] A Mathematical Model for The Dynamics of Information Spread under The Effect of Social Response (2020)
  • Author(s): Emmanuel J. DANSU and Hiromi SENO
  • Organizer: 日本数理生物学会第30回大会
• [Presentation] A Mathematical Model of Population Dynamics about The Internet Gaming Addiction (2020)
  • Author(s): 瀬野裕美
  • Organizer: 日本数理生物学会第30回大会
• [Presentation] An SIS model for the epidemic dynamics with two phases of the human day-to-day activity (2019)
  • Author(s): 瀬野裕美
  • Organizer: 日本数理生物学会第29回大会
• [Presentation] A population dynamics model for the spread of two competing pieces of information (2019)
  • Author(s): Emmanuel J. DANSU and Hiromi SENO
  • Organizer: 日本数理生物学会第29回大会
• [Presentation] An SIR Modeling with The Pathogen Population Dynamics of Disease Transmission (2018)
  • Author(s): Hiromi SENO
  • Organizer: Symposium on Biomathematics, SYMOMATH 2018
  • Int'l Joint Research / Invited
• [Presentation] Analysis of Vector-Bias and Blood Resource Dependence in Malaria Disease Model with Mosquito Repellent (2018)
  • Author(s): Dipo ALDILA and Hiromi SENO
  • Organizer: The 20th European Conference on Mathematics for Industry
  • Int'l Joint Research / Invited
• [Presentation] A Model for Epidemic Dynamics in A Community with Visitor Subpopulation (2018)
  • Author(s): Hiromi SENO and Emmanuel DANSU
  • Organizer: 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology
  • Int'l Joint Research
• [Book] A Primer on Population Dynamics Modeling: Basic Ideas for Mathematical Formulation (2022)
  • Author(s): Hiromi Seno
  • Total Pages: 462
  • Publisher: Springer, Singapore
  • ISBN: 9789811960161
• [Book] ねずみ算からはじめる数理モデリング (2021)
  • Author(s): 瀬野裕美
  • Total Pages: 224
  • Publisher: 共立出版
  • ISBN: 9784320009356