Research theme for competitive and other funds (13):
2022 - 2025 交差拡散を伴う数理生物学モデルの近平衡系に対する解析基盤の構築
2019 - 2023 ロトカ・ボルテラ系における交差拡散極限が導く定常解の多層構造の解明
2015 - 2019 非線形拡散を伴うSKTモデルに現れる定常パターンの大域分岐構造
2014 - 2019 Nonlinear analysis for a parabolic-parabolic chemotaxis-growth system of equations
2014 - 2018 Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method
2012 - 2015 Study on reaction-diffusion equations and related free boundary problems
2012 - 2015 Mathematical analysis for the Lotka-Volterra system with nonlinear diffusion
2009 - 2011 Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems
2009 - 2011 Study on spatial pattern solutions for the Lotka-Volterra system with advection
2006 - 2008 Research on the structure of solutions for nonlinear systems of reaction-diffusion equations
2006 - 2008 Study on the structure of solutions for the Lotka?Volterra system with cross?diffusion
2003 - 2005 Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
2000 - 2002 滑らかでない反応項を伴う非線型放物型方程式及び楕円型方程式の解構造の研究
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Papers (46):
Jumpei Inoue, Kousuke Kuto, Homare Sato. Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model. Journal of Differential Equations. 2023. 373. 48-107
Kousuke Kuto. Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model. Journal of Differential Equations. 2022. 333. 103-143
Kousuke Kuto, Kazuhiro Oeda. Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022. 152. 4. 965-988
Kousuke Kuto. Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 2021. 38. 6. 1943-1959
Jumpei Inoue, Kousuke Kuto. On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Discrete & Continuous Dynamical Systems - B. 2021. 26. 5. 2441-2450