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Mathematical Analysis on Stability and Unstable Phenomena of Immune Models

Research Project

Project/Area Number 26400211
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionAoyama Gakuin University

Principal Investigator

TAKEUCHI Yasuhiro  青山学院大学, 理工学部, 教授 (20126783)

Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords数理モデル / ウィルス免疫系 / 数理生物学 / 時間遅れ / 免疫 / ガン / 安定性 / 分岐現象 / 癌 / カオス
Outline of Final Research Achievements

The purpose of the research is to make clear the relationship between the structure and function of virus infection versus immune response of human. Particular we focus on the unstable phenomena of the immune dynamics. First, we construct a general mathematical models ofimmune systems describing virus infection process and activating process of our immune systems. Further, we introduce the time delays into the model to express the time duration for the infected cell to produce the virus particles and for the immune systems to be activated. We consider the effects of the these time delays on the dynamics of the mathematical models. Especially we investigate the effect of the time delays on the global stability of the model and unstable dynamics.

Academic Significance and Societal Importance of the Research Achievements

デング熱感染におけるT細胞の適応免疫細胞としての役割を考慮した数理モデルを構築し,デング熱ウイルスとの闘いにおけ るT細胞の役割を解析 した.またT細胞を活性化させる免疫療法の効果を議論した.また富栄養化のパラドクスとして知られている有名な個体群生態学におけ る数理モデルに対して, 捕食者の成長段階を考慮(捕食者の成長に対する時間遅れ)した数理モデルに拡張し,ダイナミクスを考察した.この時間遅れによっ て,富栄養化のパラドクス が消滅することを証明した.

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (65 results)

All 2019 2018 2017 2016 2015 2014 Other

All Journal Article (32 results) (of which Int'l Joint Research: 24 results,  Peer Reviewed: 31 results,  Open Access: 17 results,  Acknowledgement Compliant: 11 results) Presentation (30 results) (of which Int'l Joint Research: 20 results,  Invited: 20 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Global dynamics of a latent HIV infection model with general incidence function and multiple delays2019

    • Author(s)
      Yang Yu、,School of Science and Technology, Zhejiang International Studies University, Hangzhou 310023, China、Dong Yueping、Takeuchi Yasuhiro、,Faculty of Engineering, Kyushu University, Fukuoka 819-0395, Japan、,College of Science and Engineering, Aoyama Gakuin University, Kanagawa 252-5258, Japan
    • Journal Title

      Discrete & Continuous Dynamical Systems - B

      Volume: 24 Issue: 2 Pages: 783-800

    • DOI

      10.3934/dcdsb.2018207

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A mathematical model for pest management in Jatropha curcas with integrated pesticides - An optimal control approach,2019

    • Author(s)
      J. Chowdhury, F. Al Basir, Y. Takeuchi, Mini Ghosh, Priti Kumar Roy,
    • Journal Title

      Ecological Complexity

      Volume: 37 Pages: 24-31

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] T-cell mediated adaptive immunity and antibody-dependent enhancement in secondary dengue infection, , ,.2019

    • Author(s)
      Sourav Kumar Sasmal, Yasuhiro Takeuchi, Shinji Nakaoka
    • Journal Title

      Journal of Theoretical Biology

      Volume: 470 Pages: 50-63

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Calculation of final size for vector-transmitted epidemic model2019

    • Author(s)
      Tsubouchi Yu、Takeuchi Yasuhiro、Nakaoka Shinji
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 16 Issue: 4 Pages: 2219-2232

    • DOI

      10.3934/mbe.2019109

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] AN AGE-STRUCTURED VIRUS MODEL WITH TWO ROUTES OF INFECTION IN HETEROGENEOUS ENVIRONMENTS, .2018

    • Author(s)
      CHANG-YUAN CHENG, YUEPING DONG AND YASUHIRO TAKEUCHI,
    • Journal Title

      Nonlinear Analysis Series B: Real World Applications

      Volume: 39 Pages: 464-491

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Influence of Allee effect in prey populations on the dynamics of two-prey-one-predator model,2018

    • Author(s)
      Moitri Sen, Malay Banerjee and Y. Takeuchi,
    • Journal Title

      Mathematical Biosciences and Engineering,

      Volume: 15 Pages: 883-904

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modeling the effect of time delay in budget allocation to control an epidemic through awareness,2018

    • Author(s)
      A. K. Misra, Rajanish Kumar Rai, Yasuhiro Takeuchi,
    • Journal Title

      International Journal of Biomathematics

      Volume: 11 Pages: 1850027-1850027

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modeling the control of infectious diseases: Effects of TV and Social Media Advertisements,2018

    • Author(s)
      A.K. Misra, Rajanish Kumar Rai, Yasuhiro Takeuchi
    • Journal Title

      MATHEMATICAL BIOSCIENCES AND ENGINEERING

      Volume: 15 Pages: 1315-1343

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stabilizing effect of intra-specific competition on prey-oredator dynamics with intraguild predation2018

    • Author(s)
      Toshiyuki Namba, Yasuhiro Takeuchi, Malay Banerjee
    • Journal Title

      Mathematical Modelling of Natural Phenomena

      Volume: 印刷中 Issue: 3 Pages: 29-29

    • DOI

      10.1051/mmnp/2018033

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A mathematical model of multiple delayed feedback control system of the gut microbiota-Antibiotics injection controlled by measured metagenomic data,2018

    • Author(s)
      Yueping Dong, Yasuhiro Takeuchi, and Shinji Nakaoka,
    • Journal Title

      Nonlinear Analysis RWA,

      Volume: 43 Pages: 1-17

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mathematical modeling and analysis of T and NK cell mediated tumor immunotherapy, . .2018

    • Author(s)
      Naoki Nakada, Mizuho Nagata, Yueping Dong, Yasuhiro Takeuchi, Shinji Nakaoka,
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: .9

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] }Delayed feedback induced complex dynamics in an Escherichia coli and Tetrahymena system,2018

    • Author(s)
      Yueping Dong, Moitri Sen, Malay Banerjee, Yasuhiro Takeuchi, Shinji Nakaoka,,
    • Journal Title

      Nonlinear Dynamics

      Volume: 94, Pages: 1447-1466

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Emergence of Spatial Patterns in a Damaged Diffusive Eco-Epidemiological System2018

    • Author(s)
      Upadhyay Ranjit Kumar、Datta Jyotiska、Dong Yueping、Takeuchi Yasuhiro
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 28 Issue: 09 Pages: 1830028-1830028

    • DOI

      10.1142/s0218127418300288

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Influence of Allee effect in prey populations on the dynamics of two-prey-one-predator model2018

    • Author(s)
      Sen Moitri、,、Banerjee Malay、Takeuchi Yasuhiro、,
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 15 Issue: 4 Pages: 883-904

    • DOI

      10.3934/mbe.2018040

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] AN AGE-STRUCTURED VIRUS MODEL WITH TWO ROUTES OF INFECTION IN HETEROGENEOUS ENVIRONMENTS2018

    • Author(s)
      CHANG-YUAN CHENG, YUEPING DONG AND YASUHIRO TAKEUCHI
    • Journal Title

      Nonlinear Analysis Series B: Real World Applications

      Volume: 39 Pages: 464-491

    • Related Report
      2017 Research-status Report
  • [Journal Article] A mathematical model of multiple delayed feedback control system of the gut microbiota-Antibiotics injection controlled by measured metagenomic data2018

    • Author(s)
      Yueping Dong, Yasuhiro Takeuchi, and Shinji Nakaoka
    • Journal Title

      Nonlinear Analysis RWA

      Volume: 43, Pages: 1-17

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamics for Phytoplankton-Zooplankton System with Time Delays2017

    • Author(s)
      Zhichao Jiang, Wanbiao Ma and Y. Takeuchi
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 60 Pages: 279-304

    • NAID

      130006251648

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models2017

    • Author(s)
      Malay Banerjee, Yasuhiro Takeuchi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 412, Pages: 154-171

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Modeling the Role of Information and Limited Optimal Treatment on Disease Prevalence2017

    • Author(s)
      Anuj Kumar, Prashant K Srivastava and Y. Takeuchi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 414, Pages: 103-119

    • Related Report
      2017 Research-status Report 2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dual role of delay effects in a tumor immune system2017

    • Author(s)
      Min Yu, Yueping Dong and Y. Takeuchi
    • Journal Title

      Journal of Biological Dynamics

      Volume: 11

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Mathematical modeling on T-cell mediated adaptive immunity in primary dengue infections2017

    • Author(s)
      Sourav Kumar Sasmal, Yueping Dong and Y. Takeuchi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 429 Pages: 229-240

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models2017

    • Author(s)
      Malay Banerjee1, Yasuhiro Takeuchi
    • Journal Title

      Journal of Theoretical Biology

      Volume: 412 Pages: 154-171

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Stability analysis in delayed within-host viral dynamics with both viral and cellular infections2016

    • Author(s)
      Shyan-Shiou Chen, Chang-Yuan Cheng, Yasuhiro Takeuchi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 422

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dual role of delay effects in a tumor immune system2016

    • Author(s)
      Min Yu, Yueping Dong and Y. Takeuchi
    • Journal Title

      Journal of Biological Dynamics

      Volume: 印刷中 Issue: sup2 Pages: 334-347

    • DOI

      10.1080/17513758.2016.1231347

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Chronic Inflammation in the Epidermis: A Mathematical Model2016

    • Author(s)
      S. Nakaoka, S. Kuwahara, Chang Lee, Hyejin Jeon, Junho Lee, Y. Takeuchi, Yangin Kim
    • Journal Title

      Applied Sciences

      Volume: 6 Pages: 252-252

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dynamics in a tumor immune system with time delays2015

    • Author(s)
      Yueping Dong, Gang Huang, Rinko Miyazaki, Yasuhiro Takeuchi
    • Journal Title

      Applied Mathematics and Computation

      Volume: 252 Pages: 99-113

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dynamical behavior of combinational immune boost against tomor2015

    • Author(s)
      M. Nagata, Y. Furuta, Y.Takeuchi and S. Nakaoka
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 32

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A conservation law for virus infection kinetics in vitro2015

    • Author(s)
      Yusuke Kakizoe, Satoru Morita, Shinji Nakaoka, Yasuhiro Takeuchi, Kei Sato, Tomoyuki Miura, Catherine A Beauchemin and Shingo Iwami
    • Journal Title

      Journal of Theoretical Biology

      Volume: 376 Pages: 39-47

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models2015

    • Author(s)
      Tsuyoshi Kajiwara, Toru Sasaki and Yasuhiro Takeuchi
    • Journal Title

      Mathematical Biosciences and Engineering

      Volume: 12 Pages: 117-133

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] }Dynamics of the Density Dependent and Nonautonomous Predator-Prey System with Beddington-DeAngelis Functional Response2015

    • Author(s)
      Haiyin Li and Y. Takeuchi
    • Journal Title

      DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B

      Volume: 20

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Apoptosis in Virus Infection Dynamics Models2014

    • Author(s)
      Ruili Fan, Yueping Dong, Gang Huang and Yasuhiro Takeuchi
    • Journal Title

      Journal of Biological Dynamics

      Volume: 8 Pages: 20-41

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A mathematical model helper T cells in a tumor immune system2014

    • Author(s)
      Yueping Dong, Rinko Miyazaki and Yasuhiro Takeuchi
    • Journal Title

      DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B

      Volume: 19 Pages: 55-72

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models,2018

    • Author(s)
      Yasuhiro Takeuchi,
    • Organizer
      The Chinese Society for Mathematical Biology’s (CSMB) 6th International Conference on Mathematical Biology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models, ,2018

    • Author(s)
      Yasuhiro Takeuchi,
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Annual Research Report
  • [Presentation] HARMLESS MATURATION DELAY IN PREY-PREDATOR TYPE INTERACTIONS2017

    • Author(s)
      Malay Banerjee
    • Organizer
      Eighth Workshop Dynamical Systems Applied to Biology and Natural Sciences
    • Place of Presentation
      Evora, Portugal
    • Year and Date
      2017-01-31
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Revisited: Rosenzweig-MacArthur model and Lotka-Volterra prey-predator model2017

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      6th China India Japan Korea Mathematical Biology Colloquium
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Rosenzweig-MacArthur model and Lotka-Volterra prey-predator model2017

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      Xi’an Jiaotong University
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modelling of Tumor immune system interaction2017

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      Xi’an Jiaotong University
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Revisited: Rosenzweig-MacArthur model and Lotka-Volterra prey-predator model2017

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The Fourth International Workshop on Biomathematics Modelling and Its Dynamical Analysis
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A mathematical modelof multiple delayed feedback control system of the gut microbiota2017

    • Author(s)
      Y. Dong
    • Organizer
      第27回数理生物学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] Data analysis of intestinal microbiota and preparation for construction of mathematical model2017

    • Author(s)
      鈴木憲幸
    • Organizer
      第27回数理生物学会年会
    • Related Report
      2017 Research-status Report
  • [Presentation] Revisited: paradox of Enrichment2017

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      第1回松江数理生物学・現象数理ワークショップ
    • Related Report
      2017 Research-status Report
  • [Presentation] 時間遅れフィードバックによる細菌叢個体群制御モデルの数理解析2016

    • Author(s)
      中岡慎治
    • Organizer
      2016年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Year and Date
      2016-12-15
    • Related Report
      2016 Research-status Report
  • [Presentation] Maturation delay can stabilize the prey-predator dynamics2016

    • Author(s)
      M. Banerjee
    • Organizer
      The 2016 (26th) annual meeting of the Japanese Society for Mathematical Biology
    • Place of Presentation
      Kyushu University
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Dual role of delay effects in a tumor immune system2016

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      International Conference On“Mathematical Modeling and Simulation
    • Place of Presentation
      Banaras Hindu University
    • Year and Date
      2016-08-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Dual role of delay effects in a tumor immune system2016

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The Third International Workshop on Biomathematics Modelling and Its Dynamical Analysis
    • Place of Presentation
      Heilongjiang University, Harbin China
    • Year and Date
      2016-08-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Maturation delay for the predators can enhance stable coexistence in prey-predator model with Allee effect2016

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      CMSサマーミーティング
    • Place of Presentation
      アルバータ大学
    • Year and Date
      2016-06-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Modeling the Role of Information and Limited Optimal Treatment on Disease Prevalence2016

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      International workshop on Current Topics in Epidemic Dynamics
    • Place of Presentation
      安陽工学院, 中国
    • Year and Date
      2016-06-15
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Maturation delay for the predators can enhance stable coexistence in prey-predator model with Allee effect2016

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      Beijing University of Civil Engineering and Architecture
    • Place of Presentation
      Beijing University of Civil Engineering and Architecture
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability Analysis of Viral Dynamics Model with Intracellular Delay and Immune Activation Delay2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      研究集会「数学と現象: Mathematics and Phenomena      in Miyazaki 2015 (略称:MPM2015)」
    • Place of Presentation
      宮崎大学(木花キャンパス)
    • Year and Date
      2015-11-13
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Stability of Viral Dynamics Model with Intracellular Delay and Immune Activation Delay2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The International Symposium on BioMathematics (Symomath) 2015
    • Place of Presentation
      Institut Teknologi Bandung, Bandung, West Java, Indonesia
    • Year and Date
      2015-11-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modelling and analysis of Tumor/Immune Delayed System2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      ICMA-V
    • Place of Presentation
      West Ontario, London, Canada
    • Year and Date
      2015-10-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Effect of Intracellular Delay, Immune Activation Delay and Nonlinear Incidence on Viral Dynamics2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      2015 Joint Meeting of JSMB and CJK Colloquium on Mathematical Biology
    • Place of Presentation
      Ryo-shin Kan, Imadegawa Campus, Doshisha University
    • Year and Date
      2015-08-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Global Analysis on Delay Epidemiological Dynamic Models2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      2015 Joint Meeting of JSMB and CJK Colloquium on Mathematical Biology
    • Place of Presentation
      Ryo-shin Kan, Imadegawa Campus, Doshisha University
    • Year and Date
      2015-08-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Delay induced enhancement of stability domain in a prey-predator model with Allee effect2015

    • Author(s)
      M. Banerjee
    • Organizer
      2015 Joint Meeting of JSMB and CJK Colloquium on Mathematical Biology
    • Place of Presentation
      Ryo-shin Kan, Imadegawa Campus, Doshisha University
    • Year and Date
      2015-08-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical modelling of Tumor/Immune System Interaction2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The Second International Workshop on Biomathematics Modelling and Its Dynamical Analysis
    • Place of Presentation
      Heilongjiang University, Harbin China
    • Year and Date
      2015-08-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Impact of Intracellular Delay, Immune Activation Delay and Nonlinear Incidence on Viral Dynamics2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015)
    • Place of Presentation
      China National Convention Center
    • Year and Date
      2015-08-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of Intracellular Delay, Immune Activation Delay and Nonlinear Incidence on Viral Dynamics2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      10th Colloquium on the qualitative Theory of Differential Equations
    • Place of Presentation
      Szeged, Hungary
    • Year and Date
      2015-07-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical modelling of Tumor/Immune System Interaction, International Conference on Mathematical and Computational Biology2015

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      International Conference on Mathematical and Computational Biology
    • Place of Presentation
      Indian Institute of Technology, Kanpur
    • Year and Date
      2015-02-28 – 2015-03-03
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 腫瘍・免疫系の数理モデリング2014

    • Author(s)
      竹内 康博
    • Organizer
      第11回RIMS研究集会「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
    • Year and Date
      2014-09-16 – 2014-09-19
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Global Analysis on Delay Epidemiological Dynamic Models2014

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The Joint Annual Meeting of the Japanese Society for Mathematical Biology and the Society for Mathematical Biology
    • Place of Presentation
      大阪国際会議場
    • Year and Date
      2014-07-28 – 2014-08-01
    • Related Report
      2014 Research-status Report
  • [Presentation] Impact of Intracellular Delay, Immune Activation Delay and Nonlinear Incidence on Viral Dynamics2014

    • Author(s)
      Yasuhiro Takeuchi
    • Organizer
      The Joint Annual Meeting of the Japanese Society for Mathematical Biology and the Society for Mathematical Biology
    • Place of Presentation
      大阪国際会議場
    • Year and Date
      2014-07-28 – 2014-08-01
    • Related Report
      2014 Research-status Report
  • [Book] 常微分方程式とロトカ・ヴォルテラ方程式2018

    • Author(s)
      今 隆助、竹内 康博
    • Total Pages
      304
    • Publisher
      共立出版
    • ISBN
      9784320113480
    • Related Report
      2018 Annual Research Report
  • [Book] ウイルス感染と常微分方程式2017

    • Author(s)
      岩見真吾、佐藤佳、竹内康博
    • Total Pages
      172
    • Publisher
      共立出版
    • Related Report
      2016 Research-status Report
  • [Remarks] 青山学院大学研究者情報

    • URL

      http://raweb1.jm.aoyama.ac.jp/aguhp/KgApp?kojinId=aebfgi

    • Related Report
      2016 Research-status Report 2015 Research-status Report

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Published: 2014-04-04   Modified: 2020-03-30  

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