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Study on the existence of pseudo almost periodic solutions of difference equations and due to the numerical analytical methods of functional ED (Erectile dysfunction) model by the radiation

Research Project

Project/Area Number 26400181
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical analysis
Research InstitutionOkayama University of Science

Principal Investigator

Hamaya Yoshihiro  岡山理科大学, 総合情報学部, 教授 (40228549)

Co-Investigator(Kenkyū-buntansha) 澤見 英男  岡山理科大学, 総合情報学部, 教授 (70098581)
榊原 道夫  岡山理科大学, 総合情報学部, 教授 (70215614)
河野 敏行  岡山理科大学, 総合情報学部, 准教授 (90309534)
Research Collaborator SAITO Kaori  岩手県立大学, 宮古短期大学部, 講師
NAGAI Atsushi  川崎医科大学, 医学部泌尿器科, 教授
JO Yoshimasa  川崎医科大学, 医学部泌尿器科, 講師
HIRATSUKA Junichi  川崎医科大, 医学部放射線医学, 教授
YODENN Eisaku  川崎医科大, 医学部放射線医学, 准教授
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords時間の遅れを持つ関数差分方程式 / 擬概周期解 / 概周期族の解 / 機能性EDモデル / テストステロンモデル / 解の安定性の判定条件 / Liapunovp汎関数 / 放射能汚染モデル / 概周期解 / 漸近安定性定理 / 時間遅れを持つ制御モデル / ED制御モデル / 数値実験の可視化 / 前処理付き反復法 / 概周期解と概周期族解(ポーランド) / Favardタイプの存在定理(アメリカ) / テストステロン分泌の時間遅れを持つ制御モデル / 微小放射能反応項を持つ時間遅れED制御モデル / 前処理付反復法 / GPU
Outline of Final Research Achievements

For constructing the ED model, we show the asymptotic stability of the blood and lymph model of infectious diseases in a body and the reaction diffusion partial differential equations with finite delay. Moreover, we study the existence theorem of almost periodic solutions and the asymptotic stability of control model with a time lag of testosterone secretion, announced at the International Conference of Poland and submitted a paper.
In 2016, Osaka Prefecture University, Professor Matsunaga in joint International Conference on Difference Equation and Applications held in Osaka and, the Satellite Conference held in the institution, Okayama University of science, in Okayama.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (11 results)

All 2017 2016 2015

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 4 results,  Acknowledgement Compliant: 3 results) Presentation (4 results) (of which Int'l Joint Research: 3 results) Funded Workshop (2 results)

  • [Journal Article] Preconditioned iterative method for regular splitting2017

    • Author(s)
      Toshiyuki Kohno
    • Journal Title

      Advances in Pure Mathematics

      Volume: 7 Pages: 180-187

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Global asymptotic stability of a delayed SIR epidemic model with diffusion2016

    • Author(s)
      Yoshihiro Hamaya and Kaori Saito
    • Journal Title

      Libertas Math.

      Volume: 36 Pages: 53-72

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Global stability properties of virus dynamics of a diffusive model2016

    • Author(s)
      Kaori Saito, Toshiyuki Kohno and Yoshihiro Hamaya
    • Journal Title

      International Journal of Mathematical Analysis

      Volume: 10 Pages: 1109-1127

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Almost periodic solutions of nonlinear Volterra difference equations with unbounded delay2015

    • Author(s)
      Y. Hamaya T. Itokazu and K. Saito
    • Journal Title

      Axioms

      Volume: 4 Pages: 345-364

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global asymptotically stable of a non‐autonomous discrete Ricker competition system2015

    • Author(s)
      Y. Hamaya
    • Journal Title

      Advances and Applications in Mathematical Sciences

      Volume: 14.1 Pages: 1-12

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] On the stability of an SIR epidemic discrete model2016

    • Author(s)
      Kaori Saito
    • Organizer
      The 22th International Conference on Difference Equations and Applications
    • Place of Presentation
      Osaka
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the behavior of the error in numerical iterative method for PDE2016

    • Author(s)
      Toshiyuki Kohno
    • Organizer
      The 22th International Conference on Difference Equations and Applications
    • Place of Presentation
      Osaka
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Survey2016

    • Author(s)
      Yoshihiro Hamaya
    • Organizer
      The second Satellite Conference of the 22th International Conference on Difference Equations and Applications
    • Place of Presentation
      Okayama
    • Related Report
      2016 Annual Research Report
  • [Presentation] Existence of almost periodic solutions of a feedback delay model for the control of testosterone secretions2015

    • Author(s)
      Y.Hamaya
    • Organizer
      ICDEA2015
    • Place of Presentation
      ポーランドBialystok
    • Year and Date
      2015-07-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Funded Workshop] The 22th Internatuonal Conference on Difference Equations and Applications2016

    • Place of Presentation
      Osaka
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] The Second Satillate Conference of the 22th International Conference on Difference Equations and Applications2016

    • Place of Presentation
      Okayama University of science
    • Related Report
      2016 Annual Research Report

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Published: 2014-04-04   Modified: 2018-03-22  

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