Construction of general purpose model of dynamical networks and its general theory

• Project/Area Number: 18K03453
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: Shizuoka University
• Principal Investigator: Morita Satoru 静岡大学, 工学部, 教授 (20296750)
• Co-Investigator(Kenkyū-buntansha): 吉村 仁 静岡大学, 工学部, 教授 (10291957) ; 伊東 啓 長崎大学, 熱帯医学研究所, 助教 (80780692) ; 泰中 啓一 静岡大学, 創造科学技術大学院, 客員教授 (30142227)
• Project Period (FY): 2018-04-01 – 2021-03-31
• Project Status: Completed (Fiscal Year 2020)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 複雑ネットワーク / 感染症モデル / ネットワーク科学 / 確率モデル / 社会ネットワーク / 基本再生産数 / 生態系モデル / 冪乗分布 / 伝播モデル / 進化ゲーム

Outline of Final Research Achievements

In this research project, we focus on the diffusion phenomenon on the ubiquitous network in society and nature. We formulated the basic reproduction number and its extension, the type-reproduction number, for the epidemic model that has become particularly well known because of covid-19. The results are more accurate than previously known formulas. We have also successfully formulated the formulas taking into account the degree correlation, which means the correlation between the links in the real network. We have also applied these researches to a more realistic model for sexually transmitted diseases.

Academic Significance and Societal Importance of the Research Achievements

興感染症の出現によって複雑ネットワーク上の感染症モデルの解析は，今日もっとも注目を浴びている分野の一つとなっている．本研究課題はその基盤となる知見を提供している．基本再生産数は感染症等が拡散する強さを測る重要な指標であるが，この基本再生産数がネットワークを変化によって（つまり人為的な感染症対策をおこなうことで）どのように変化するかを明らかにすることは，感染防御政策を決めるにあたって必要な知見を与える．今後ますます社会的意義の増していく基本研究であると言えるだろう．

Research Products

• [Journal Article] Solvable epidemic model on degree-correlated networks (2021)
  • Author(s): Morita Satoru
  • Journal Title: Physica A: Statistical Mechanics and its Applications Volume: 563, 125419 Pages: 1-7
  • DOI: 10.1016/j.physa.2020.125419
  • NAID: 120007166726
  • Peer Reviewed
• [Journal Article] Improving environment drives dynamical change in social game structure (2021)
  • Author(s): Chiba Erika、Cuaresma Diane Carmeliza N.、Rabajante Jomar F.、Tubay Jerrold M.、Areja Gavina Maica Krizna、Yamamoto Tatsuki、Yoshimura Jin、Morita Satoru、Ito Hiromu、Okabe Takuya
  • Journal Title: Royal Society Open Science Volume: 8 Issue: 5 Pages: 1-7
  • DOI: 10.1098/rsos.201166
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Energetic requirements of the transition from solitary to group living (2020)
  • Author(s): Sumaiya Rahila I.K.、Nii Momoka、Okabe Takuya、Ito Hiromu、Pulungan Muhammad Almaududi、Morita Satoru、Kobayashi Kazuya、Setou Mitsutoshi、Iwabuchi Kikuo、Matsuura Kenji、Yoshimura Jin
  • Journal Title: Ecological Complexity Volume: 44, 100874 Pages: 1-5
  • DOI: 10.1016/j.ecocom.2020.100874
  • NAID: 120006980769
  • Peer Reviewed / Open Access
• [Journal Article] The type-reproduction number of sexually transmitted infections through heterosexual and vertical transmission (2019)
  • Author(s): Ito Hiromu、Yamamoto Taro、Morita Satoru
  • Journal Title: Scientific Reports Volume: 9 (17408) Issue: 1 Pages: 1-13
  • DOI: 10.1038/s41598-019-53841-8
  • NAID: 120006988360
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Is the network of heterosexual contact in Japan scale free? (2019)
  • Author(s): Ito Hiromu、Tamura Kazuhiro、Wada Takayuki、Yamamoto Taro、Morita Satoru
  • Journal Title: PLOS ONE Volume: 14 (e0221520) Issue: 8 Pages: 1-12
  • DOI: 10.1371/journal.pone.0221520
  • NAID: 120006988420
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Demography of sexually transmitted infections with vertical transmission (2019)
  • Author(s): Hiromu Ito, Taro Yamamoto, Satoru Morita
  • Journal Title: Applied Mathematics and Computation Volume: 348 Pages: 363-370
  • DOI: 10.1016/j.amc.2018.12.002
  • NAID: 120006987869
  • Peer Reviewed / Open Access
• [Journal Article] A single ‘weight-lifting’ game covers all kinds of games (2019)
  • Author(s): Yamamoto Tatsuki、Ito Hiromu、Nii Momoka、Okabe Takuya、Morita Satoru、Yoshimura Jin
  • Journal Title: Royal Society Open Science Volume: 6 Issue: 11 Pages: 191602-191602
  • DOI: 10.1098/rsos.191602
  • NAID: 120006988349
  • Peer Reviewed / Open Access
• [Journal Article] Bankruptcy is an inevitable fate of repeated investments with leverage (2019)
  • Author(s): Nii Momoka、Okabe Takuya、Ito Hiromu、Morita Satoru、Yasuda Yosuke、Yoshimura Jin
  • Journal Title: Scientific Reports Volume: 9 (13745) Issue: 1 Pages: 1-5
  • DOI: 10.1038/s41598-019-50237-6
  • NAID: 120006988398
  • Peer Reviewed / Open Access
• [Journal Article] Grazing enhances species diversity in grassland communities (2019)
  • Author(s): Pulungan Muhammad Almaududi、Suzuki Shota、Gavina Maica Krizna Areja、Tubay Jerrold M.、Ito Hiromu、Nii Momoka、Ichinose Genki、Okabe Takuya、Ishida Atsushi、Shiyomi Masae、Togashi Tatsuya、Yoshimura Jin、Morita Satoru
  • Journal Title: Scientific Reports Volume: 9 (11201) Issue: 1 Pages: 1-8
  • DOI: 10.1038/s41598-019-47635-1
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Mass killing by female soldier larvae is adaptive for the killed male larvae in a polyembryonic wasp (2019)
  • Author(s): Otsuki Takahiro、Uka Daisuke、Ito Hiromu、Ichinose Genki、Nii Momoka、Morita Satoru、Sakamoto Takuma、Nishiko Maaya、Tabunoki Hiroko、Kobayashi Kazuya、Matsuura Kenji、Iwabuchi Kikuo、Yoshimura Jin
  • Journal Title: Scientific Reports Volume: 9 (7357) Issue: 1 Pages: 1-7
  • DOI: 10.1038/s41598-019-43643-3
  • NAID: 120006764368
  • Peer Reviewed / Open Access
• [Journal Article] Power-law Exponent in Multiplicative Langevin Equation with Temporally Correlated Noise (2018)
  • Author(s): Satoru Morita
  • Journal Title: J. Phys. Soc. Jpn. 87, 053801 (2018) Volume: 87 Issue: 5 Pages: 1-4
  • DOI: 10.7566/jpsj.87.053801
  • NAID: 210000134808
  • Peer Reviewed
• [Journal Article] Long-term persistence of agricultural pest insects by risk-spreading dispersal (2018)
  • Author(s): Maica Krizna Areja Gavina, Kotaro Aoki, Genki Ichinose, Jomar Fajardo Rabajante, Hiromu Ito, Satoru Morita, Vincent A. A. Jansen, Jin Yoshimura
  • Journal Title: Ecological Research Volume: 33 Issue: 5 Pages: 1031-1037
  • DOI: 10.1007/s11284-018-1615-z
  • NAID: 40021665058
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Presentation] 数理モデルから考察する性感染症の存続性とヒト社会への適応 (2020)
  • Author(s): 伊東啓
  • Organizer: 第16回ネットワーク生態学シンポジウム
  • Invited
• [Presentation] Basic Reproduction Number of Sexually Transmitted Infections with Mother-to-Child Infection (2020)
  • Author(s): Satoru Morita, Hiromu Ito, Taro Yamamoto
  • Organizer: International school and Conference on Network Science
  • Int'l Joint Research
• [Presentation] 母子感染と性ネットワークを考慮した性感染症拡散モデル (2019)
  • Author(s): 伊東啓，山本太郎，守田智
  • Organizer: 第35回個体群生態学会大会
• [Presentation] 母子感染を考慮した性感染ネットワーク拡散モデル (2019)
  • Author(s): 守田智，伊東啓，山本太郎
  • Organizer: 2019年度日本数理生物学会大会
• [Presentation] 直感染を含む性感染伝播のネットワーク拡散モデル (2019)
  • Author(s): 守田智，伊東啓，山本太郎
  • Organizer: 日本物理学会2019年秋季大会
• [Presentation] 複雑ネットワーク上の伝播現象について (2019)
  • Author(s): 守田智
  • Organizer: 第２回数理生物学夏の学校
  • Invited
• [Presentation] Sexually transmitted infection models with mother-to-child infection (2019)
  • Author(s): Satoru Morita
  • Organizer: The 7th China-India-Japan-Korea International Conference on Mathematical Biology
  • Int'l Joint Research / Invited