Yukio Kanon

Profile Information

Affiliation: Professor, Faculty of Education, Ehime University

Degree: 博士(理学)(広島大学)
理学修士(広島大学)

J-GLOBAL ID: 200901098979523120
researchmap Member ID: 1000039900

External link: http://www.ed.ehime-u.ac.jp/~kanon/www/

Research Interests

Research Areas

Education

- 1985

Hiroshima University
- 1985

Graduate School, Division of Natural Science, Hiroshima University
- 1982

Department of Mathematics, Faculty of Science, Hiroshima University
- 1982

Faculty of Science, Hiroshima University

Committee Memberships

Apr, 2021 - Mar, 2022

実行委員長, 第54回中国・四国算数・数学教育研究（松山）大会
2022

「数学通信」常任編集委員, 日本数学会
2022

全国区代議員（評議員）, 日本数学会
Oct, 2018 - Sep, 2020

応用数学分科会委員, 日本数学会
2007 - 2011

数学編集委員会編集委員, 日本数学会

Papers

Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system

Yukio Kan-on

Boundary Value Problems, 2023(1), Aug 30, 2023 Peer-reviewed
Short note on the position of bifurcation points for the limiting system arising from the two competing species model

Yukio Kan-on

Discrete and Continuous Dynamical Systems - B, 28(12) 6233-6247, 2023 Peer-reviewed
On the limiting system in the Shigesada, Kawasaki and Teramoto model with large cross-diffusion rates

Yukio Kan-on

Discrete Contin. Dyn. Syst., 40(6) 3561-3570, 2020 Peer-reviewedLead author
On the Structure of Positive Solutions for the Shigesada–Kawasaki–Teramoto Model with Large Interspecific Competition Rate

Yukio Kan-on

Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(1) 2050001, 2020 Peer-reviewedLead author
Structure on the Radially Symmetric Entire Positive Stationary Solution for a Competition-Diffusion System

KAN-ON Yukio

Far East J. Appl. Math., 97(6) 241-274, Dec, 2017 Peer-reviewed
Structure of radially symmetric positive stationary solutions for a reaction-diffusion system with competitive interaction

Yukio Kan-on

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 434(2) 1891-1908, Feb, 2016 Peer-reviewed
A uniqueness theorem of radially symmetric positive stationary solutions for a competition-diffusion system

Yukio Kan-on

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 422(1) 625-637, Feb, 2015 Peer-reviewed
On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system

Yukio Kan-on

NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 64 409-416, 2015 Peer-reviewed
Structure on the set of radially symmetric positive stationary solutions for a competition-diffusion system

Kan-on, Yukio

Discrete Contin. Dyn. Syst. 2013, Dynamical systems, differential equations and applications. 9th AIMS Conference. Suppl., 427-436, 2013 Peer-reviewed
A note on bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system III

Kan-on, Yukio

Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 18(5) 559-568, 2011 Peer-reviewed
Mathematical Models for Infectious Deseases

Kan-on Yukio

Bulletin of the Japan Society for Industrial and Applied Mathematics, 19(2) 126-127, 2009
A note on bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system

Kan-on, Yukio

Dyn. Contin. Discrete Impuls. Syst. Ser A, 15(1) 1-15, 2008 Peer-reviewed
Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion I: Numerical verification of local structure

Yukio Kan-on

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 201(2) 317-326, Apr, 2007 Peer-reviewed
On the bifurcation structure of positive stationary solutions for a competition-diffusion system

Kan-on, Yukio

Asymptotic Analysis and Singularities, Adv. Stud. Pure Math., 47-2, Math. Soc. Japan, Tokyo, 601-612, 2007 Peer-reviewed
Bifurcation structure of positive stationary solutions for a Lotka-Volterra competition model with diffusion II: Global structure

Y Kan-On

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 14(1) 135-148, Jan, 2006 Peer-reviewed
On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction

Y Kan-On

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 22(3) 385-402, Oct, 2005 Peer-reviewed
Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion

Y Kan-on

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 20(3) 285-310, Oct, 2003 Peer-reviewed
Global bifurcation structure of stationary solutions for a Lotka-Volterra competition model

Y Kan-on

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 8(1) 147-162, Jan, 2002 Peer-reviewed
On the structure of the set of stationary solutions for a Lotka-Volterra competition model with diffusion

Y Kan-on

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 8(2) 263-273, Jun, 2001
Note on propagation speed of travelling waves for a weakly coupled parabolic system

Y Kan-On

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 44(2) 239-246, Apr, 2001 Peer-reviewed

Misc.

弧度法と三角関数について

観音幸雄

愛媛県高等学校教育研究会数学部会数学部会誌, 61 2-7, Mar, 2021
二項分布の正規分布による近似

観音幸雄

愛媛県高等学校教育研究会数学部会数学部会誌, 56 2-8, Mar, 2016
２種競争系の解構造について

観音幸雄

応用数理, 19 2-13, 2009 Peer-reviewedInvited
Bifurcation Structure of Positive Stationary Solutions for a Lotka-Volterra Competition Model with Diffusion I : Numerical Verification of Local Structure(New Development of Dynamical Systems with Topological and Computational Methods)

Kan-on Yukio

RIMS Kokyuroku, 1485 50-58, Apr, 2006
２種競争系の定常解の分岐構造

観音幸雄

物性研究, 84(1) 37-58, 2005 Invited
Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with diffusion (Mathematical models and dynamics of functional equations)

Kan-on Yukio

RIMS Kokyuroku, 1372 135-138, Apr, 2004
Travelling waves for a Lotka-Volterra competition model with diffusion(translation of Sugaku 49(1997), no.4, 379-392)

Kan-on, Yukio

Sugaku Expositions, 13(1) 39-53, 2000 Invited
2種競争系の進行波について

観音幸雄

数学, 49 379-392, 1997 Peer-reviewedInvited

Presentations

重定-川崎-寺本モデルの定常解の大域的な解構造について

観音幸雄

研究集会「非線形偏微分方程式の理論と応用」, Sep 10, 2019 Invited
重定・川崎・寺本モデルから導出される極限系について

觀音幸雄

大阪市大・大阪府大合同南大阪応用数学セミナー, Dec 8, 2018 Invited
On limit systems and their solution structure for the Shigesada-Kawasaki-Teramoto model with large cross-diffusion rate

KAN-ON Yukio

The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jul 8, 2018 Invited
重定・川崎・寺本モデルから導出される極限系とその解構造について

觀音幸雄

松山解析セミナー 2018, Feb 3, 2018
重定・川崎・寺本モデルの正値定常解の解構造について

觀音幸雄

反応拡散方程式と非線形分散型方程式の解の挙動 RIMS共同研究（グループ型）, Sep 26, 2017 Invited
２種競争系の定常解の分岐構造について

觀音幸雄

阿波セミナー2016「非線形現象の数理解析」, Mar 9, 2016 Invited
２種競争系の球対称定常解の大域的な解構造について

觀音幸雄

数学と現象； Mathematics and Phenomena in Miyazaki 2014, Nov 15, 2014 Invited
２種競争系の球対称定常解の解構造について

觀音幸雄

研究集会「反応拡散系のパターンダイナミクス」, Nov 30, 2013 Invited
Structure on the set of radially symmetric positive stationary solutions for a competition-diffusion system

Kan-on, Yukio

2013 NIMS-KMRS PDE Conference on reaction diffusion equations for ecology and related problems, Oct 22, 2013 Invited
Bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system

KANON Yukio

The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jul 5, 2012
２種競争系の定常解の分岐構造について

觀音幸雄

ＲＤＳセミナー 2011, Nov 14, 2011 Invited
２種競争系の球対称全域解について

觀音幸雄

日本数学会２０１１年度秋季総合分科会応用数学分科会, Sep 30, 2011
On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system

Kan-on, Yukio

The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations, Sep 14, 2011
On bifurcation structure of radially symmetric stationary solutions for a reaction-diffusion system

Kan-on, Yukio

NCTS(TPE) and TIMS Joint PDE Seminar, Mar 26, 2010 Invited
反応拡散系の球対称定常解の解構造について

觀音幸雄

ミニワークショップ「反応拡散系をめぐる最近の話題」, Feb 20, 2010 Invited

Professional Memberships

Research Projects

On the structure of positive solutions for the limiting system deriving from the Shigesada-Kawasaki-Teramoto model

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2023
Global solution structure in a system of two competing species with nonlinear diffusion effect

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2020

Kan-on Yukio
密度依存型の拡散項をもつ2種競争系の解構造に関する研究

科学研究費補助金基盤研究（Ｃ）, 2010 - 2012

觀音幸雄
Diffusion and Geometry of Domain

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2008 - 2012

SAKAGUCHI Shigeru, MISAWA Masashi, MIKAMI Toshio, SHIBATA Tetsutaro, KANON Yukio, KAWAKAMI Tatsuki, ISHIGE Kazuhiro, OGAWA Takayoshi
密度依存型の拡散項をもつ反応拡散方程式の解の分岐構造

科学研究費補助金基盤研究（Ｃ）, 2007 - 2009

觀音幸雄
数値的検証法を用いた反応拡散方程式の定常解の大域的分岐構造の研究

科学研究費補助金基盤研究（Ｃ）, 2003 - 2005

觀音幸雄
密度依存型の拡散項をもつ反応拡散方程式の解の大域的挙動の研究

科学研究費補助金基盤研究（Ｃ）, 2000 - 2002

觀音幸雄
Construction Classification of weighing matrices of low order and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1999 - 2000

OHMORI Hiroyuki, SHIRAKURA Teruhiro, OKAMOTO Toshiaki, HIRATA Koichi, HAMADA Noboru
反応拡散方程式系の解の大域的挙動の研究

科学研究費補助金奨励研究（Ａ）, 1997 - 1998

觀音幸雄
反応拡散方程式系の定常解の安定性の研究

科学研究費補助金奨励研究（Ａ）, 1996 - 1996

觀音幸雄
線形偏微分方程式に対する初期値問題の適切性について

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1995 - 1995

北川桂一郎, 観音幸雄, 平田浩一, 岡本俊明, 大森博之
分類空間の安定的性質についての研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1994 - 1994

平田浩一, 觀音幸雄, 北川桂一郎, 岡本俊明, 大森博之
デザインの構成と分類に関する研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1993 - 1993

大森博之, 観音幸雄, 北川桂一郎, 岡本俊明, 平田浩一
線形偏微分方程式に対する初期値問題の適切性の為の条件について

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1993 - 1993

北川桂一郎, 観音幸雄, 平田浩一, 岡本俊明, 大森博之
分類空間の安定ホモトピー論の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1992 - 1992

平田浩一, 観音幸雄, 岡本俊明, 大森博之
デザインの研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1991 - 1991

大森博之, 石川廣美, 林昭, 観音幸雄, 平田浩一, 岡本俊明
デザインの研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1990 - 1990

大森博之, 石川広美, 林昭, 観音幸雄, 平田浩一, 岡本俊明
Asymptotic behavior of solutions for reaction-diffusion systems

1982

Academic Activities

Japan Journal of Industrial and Applied Mathematics, Editor

Review, evaluation, Peer review

The Japan Society for Industrial and Applied Mathematics, May, 2019 - Present
解析セミナー（愛媛大学），松山解析セミナー（愛媛大学）

Planning, management, etc.

2004 - Present
第54回中国・四国算数・数学教育研究（松山）大会

Planning, management, etc.

愛媛県算数数学教育連絡協議会，中国・四国地区数学教育会, Nov 11, 2021 - Nov 11, 2021

Social Activities

愛媛県高等学校教育研究会数学部会

Consultant

愛媛県高等学校教育研究会数学部会, 2015 - Present
助言・指導

Consultant

日本数学教育学会, 第 105 回全国算数・数学教育研究（青森）大会, Aug 10, 2023 - Aug 10, 2023
助言・指導

Consultant

愛媛県高等学校教育研究会数学部会, 東予地区研究会（三島高等学校）, Jun 20, 2023 - Jun 20, 2023
助言・指導

Consultant

日本数学教育学会，中国・四国地区数学教育会，島根県数学教育会，島根県算数・数学教育研究会, 第104回全国算数・数学教育研究（島根）大会, Aug 5, 2022 - Aug 5, 2022
助言・指導

Consultant

愛媛県高等学校教育研究会数学部会, 東予地区研究会（今治北高等学校）, Jun 8, 2022 - Jun 8, 2022
教員免許状更新講習

Lecturer

愛媛大学, 確率統計再入門, 2017 - 2020
統計セミナー

Lecturer

愛媛県統計協会, 2013 - 2015

Profile Information

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