IZUHARA Hirofumi

写真a

Affiliation

Engineering educational research section Science Center for Engineering Education

Title

Professor

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Degree 【 display / non-display

  • Doctor (Science) ( 2008.3   Hiroshima University )

  • 修士(理学) ( 2005.3   広島大学 )

Research Areas 【 display / non-display

  • Natural Science / Basic mathematics

  • Natural Science / Basic mathematics  / Applied mathematics

  • Natural Science / Applied mathematics and statistics

 

Papers 【 display / non-display

  • An instability framework of Hopf–Turing–Turing singularity in 2-component reaction–diffusion systems Reviewed

    Izuhara H., Kobayashi S.

    Japan Journal of Industrial and Applied Mathematics   42 ( 1 )   63 - 112   2025.1

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:Japan Journal of Industrial and Applied Mathematics  

    This paper investigates pattern formation in 2-component reaction–diffusion systems with linear diffusion and local reaction terms. We propose a novel instability framework characterized by 0-mode Hopf instability, m and m + 1 mode Turing instabilities in 2-component reaction–diffusion systems. A normal form for the codimension 3 bifurcation is derived via the center manifold reduction, representing one of the main results in this paper. Additionally, we present numerical results on the bifurcation of certain reaction–diffusion systems and on the chaotic behavior of the normal form.

    DOI: 10.1007/s13160-024-00668-0

    Scopus

  • CROSS-DIFFUSION PREDATOR–PREY MODEL DERIVED FROM THE DICHOTOMY BETWEEN TWO BEHAVIORAL PREDATOR STATES Reviewed

    Iida M., Izuhara H., Kon R.

    Discrete and Continuous Dynamical Systems - Series B   28 ( 12 )   6159 - 6178   2023.12

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:Discrete and Continuous Dynamical Systems - Series B  

    Cross-diffusion may be an important driving force of pattern formation in population models. Recently, a relation between cross-diffusion and reaction-diffusion systems has been revealed from the mathematical modeling point of view. In this paper, we derive a predator–prey model with cross-diffusion from a simple reaction-diffusion system with two behavioral states in the predator population and examine whether cross-diffusion can induce spatial patterns in predator–prey models. We assume that the predators have identical behavioral characteristics except for their mobility and searching activity for preys: we consider two states, namely less mobile predators searching for preys more actively than mobile predators. Our analysis shows that cross-diffusion derived in this situation can induce spatial patterns if the prey-density-dependent conversion rate from less mobile state to mobile one increases more rapidly than that from mobile to less mobile at high prey density.

    DOI: 10.3934/dcdsb.2023098

    Scopus

  • SPATIAL SEGREGATION OF MULTIPLE SPECIES: A SINGULAR LIMIT APPROACH Reviewed International coauthorship

    Izuhara H., Monobe H., Wu C.H.

    Discrete and Continuous Dynamical Systems - Series B   28 ( 12 )   6208 - 6232   2023.12

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:Discrete and Continuous Dynamical Systems - Series B  

    The spatial segregation of the populations occurs commonly in ecology. One typical way to understand this phenomenon is to consider strong competition in some species. In this paper, we shall consider multiple-species competition-diffusion models. Under the condition that some interspecies competition rates are large, we show that the segregation phenomenon occurs. Furthermore, we derive some two-phase Stefan-like problems appearing as the singular limit, which may provide some modeling interpretation for free boundary problems studied in the literature.

    DOI: 10.3934/dcdsb.2022215

    Scopus

  • PARTIALLY OVERLAPPING TRAVELLING WAVES IN A PARABOLIC-HYPERBOLIC SYSTEM Reviewed International coauthorship

    Bertsch M., Izuhara H., Mimura M., Wakasa T.

    Discrete and Continuous Dynamical Systems - Series B   28 ( 12 )   5934 - 5966   2023.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Discrete and Continuous Dynamical Systems - Series B  

    We study the existence of travelling wave solutions of a one-dimensional parabolic-hyperbolic system for u(x, t) and v(x, t), which arises as a model for contact inhibition of cell growth. Compared to the scalar Fisher-KPP equation, the structure of the travelling wave solutions is surprisingly rich and strongly parameter-dependent. In the present paper we consider a parameter regime where the minimal wave speed is positive. We show that there exists a branch of travelling wave solutions for wave speeds which are larger than the minimal one. But the main result is more surprising: for certain values of the parameters the travelling wave with minimal wave speed is not segregated (a solution is called segregated if the product uv vanishes almost everywhere) and in that case there exists a second branch of “partially overlapping” travelling wave solutions for speeds between the minimal one and that of the (unique) segregated travelling wave.

    DOI: 10.3934/dcdsb.2023076

    Scopus

  • A new instability framework in 2-component reaction-diffusion systems

    Hirofumi Izuhara, Shunsuke Kobayashi

    arXiv   2023.11

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.48550/arXiv.2311.07045

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Books 【 display / non-display

  • 線形代数入門

    辻川 亨, 出原 浩史( Role: Joint author)

    学術図書出版社  2024.3  ( ISBN:9784780612400

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    Language:Japanese Book type:Scholarly book

    CiNii Books

  • 微分積分の押さえどころ

    辻川 亨, 大塚 浩史, 出原 浩史, 伊藤 翼, 矢崎 成俊

    学術図書出版社  2019 

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    Language:Japanese

    CiNii Books

  • 線形代数入門

    辻川 亨, 出原 浩史( Role: Joint author)

    学術図書出版社  2017.11 

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    Language:Japanese Book type:Scholarly book

    CiNii Books

  • パターン形成の数理とバイオメディカルへの応用

    Murray J. D. (James Dickson), 勝瀬 一登, 三村 昌泰, 瀬野 裕美, 吉田 雄紀, 青木 修一郎, 宮嶋 望, 半田 剛久, 清田 正紘, 河内 一樹, 中口 悦史, 梯 正之, 川崎 廣吉, 池田 幸太, 森下 喜弘, 出原 浩史, 関村 利朗, 昌子 浩登, 柴田 達夫, 上田 肇一, 本多 久夫, 稲葉 寿( Role: Joint translator)

    丸善出版  2016 

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    Language:Japanese Book type:Scholarly book

    CiNii Books

MISC 【 display / non-display

  • 第31回日本数理生物学会大会報告

    飯田雅人, 今隆助, 出原浩史

    日本数理生物学会ニュースレター   ( 96 )   2 - 5   2022.2

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    Language:Japanese   Publishing type:Meeting report  

  • 半乾燥地域における植生パターンと数理モデル Invited

    出原浩史

    数理科学 数理モデリングと生命科学   59 ( 9 )   51 - 57   2021.9

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)  

Presentations 【 display / non-display

  • 反応拡散系に現れる複雑ダイナミクス:分岐構造から探る起源 Invited

    出原浩史

    北陸応用数り研究会 

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    Event date: 2025.2.20 - 2025.2.22

    Presentation type:Oral presentation (invited, special)  

  • 2成分反応拡散系における複雑ダイナミクスの起源 Invited

    出原浩史

    数学と現象 in 清里 

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    Event date: 2025.2.2 - 2025.2.4

    Presentation type:Oral presentation (invited, special)  

  • 遅延を含むFisher-KPP方程式のsemi-waveについて Invited

    出原浩史

    RIMS共同研究「時間遅れ系と数理科学:理論と応用の新たな展開に向けて」 

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    Event date: 2024.11.13 - 2024.11.15

    Presentation type:Oral presentation (invited, special)  

  • 遅延を含むFisher-KPP方程式のsemi-waveについて−数値計算の視点から− Invited

    出原浩史

    日本応用数理学会2024年度年会 正会員OS「時間遅れと数理」 

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    Event date: 2024.9.14 - 2024.9.16

    Presentation type:Oral presentation (invited, special)  

  • 2成分反応拡散系の解の構造 Invited

    出原浩史

    数学と現象 in 伊香保 

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    Event date: 2024.8.30 - 2024.9.1

    Presentation type:Oral presentation (invited, special)  

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Awards 【 display / non-display

  • 熱コレ2022 最優秀動画賞

    2022.10   日本機械学会 熱工学コンファレンス2022   様々な紙の燃え方

    中村 愛美, 小林 温斗, 鈴木 啓介, 松岡 常吉, 出原 浩史, 桑名 一徳, 中村 祐二

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    Award type:Award from Japanese society, conference, symposium, etc. 

Grant-in-Aid for Scientific Research 【 display / non-display

  • 不安定な燃え拡がり挙動の評価指標の検討

    Grant number:24K07960  2024.04 - 2027.03

    独立行政法人日本学術振興会  科学研究費基金  基盤研究(C)

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    Authorship:Coinvestigator(s) 

  • 個体群の広がりを抑制する障害物問題とその解析

    Grant number:23K03216  2023.04 - 2026.03

    独立行政法人日本学術振興会  科学研究費基金  基盤研究(C)

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    Authorship:Coinvestigator(s) 

  • 狭い空間における燃焼の数理モデルと理論解析

    Grant number:21K03353  2021.04 - 2025.03

    独立行政法人日本学術振興会  科学研究費基金  基盤研究(C)

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    Authorship:Principal investigator 

  • 燃焼限界近傍における火炎の燃え拡がり方向を決めるメカニズムの解明

    Grant number:20K05001  2020.04 - 2023.03

    独立行政法人日本学術振興会  科学研究費補助金  基盤研究(C)

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    Authorship:Coinvestigator(s) 

  • 燃焼モデルに現れるパターンの計算機支援解析

    Grant number:17K14237  2017.04 - 2022.03

    科学研究費補助金  若手研究(B)

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    Authorship:Principal investigator 

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