[ 19 ]   Y. Ichida, Geometric structure of stationary problem for spatial 1D self-diffusion equation with logistic growth, to appear in Int. J. Appl. Comput. Math. xxx, No. xxx, Paper No. xxx, xx p. (2026)

 　　　[ Jounal ]　　（Doi: xxx） available on arXiv: 2509.24752  [ arXiv ]　※ Corresponding author

[ 18 ]   Y. Ichida, Traveling waves for a Fisher-KPP equation with power nonlinear degenerate diffusion, J . Elliptic Parabol. Equ, 11 (2025), no. 2, pp. 1725--1746.

 　　      [ Jounal ]　　（Doi: 10.1007/s41808-025-00392-x） ※ Corresponding author

[ 17 ]    Y. Ichida, R. Yamada, S. Kato, Y. Kamaya, M. Kosuge, M. Aizawa, T.O. Sakamoto, S. Yazaki, A simple mathematical model for evaluation of non-fragmentation property of injectable calcium-phosphate cement, Sci Rep 15 (2025), 21571.

                [ Jounal ]　　（Doi: 10.1038/s41598-025-06039-0）[ Source code へのアクセスはこちら ]    ※ Corresponding author

[ 16 ]    Y. Ichida, Classification of weak and unbounded traveling wave solutions for a Porous-Fisher-KPP equation, SN Partial differ. Equ. Appl. 6 (2025), No. 3, Paper No. 25,  24 pp.

                [ Jounal ]　　（Doi: 10.1007/s42985-025-00335-0）   ※ Corresponding author

[ 15 ]    Y. Ichida, S. Motonaga,  Geometric structure of the traveling waves for 1D degenerate parabolic equation, J. Dyn.Differ.Equations  37 (2025), no. 4, 2931--2949.

                 [ Jounal ]　　（Doi: 10.1007/s10884-024-10389-0）   ※ Corresponding author

[ 14 ]    Y. Ichida, Y. Nakata,  Global dynamics of a simple model for wild and sterile mosquitoes, Math.  Biosci. Eng., 21 (2024), issue 9, pp.7016--7039.

               [ Jounal ]　　（Doi: 10.3934/mbe.2024308）   ※ Corresponding author

[ 13 ]    Y. Ichida, T.O. Sakamoto,  Classification of nonnegative traveling wave solutions for certain 1D degenerate parabolic equation and porous medium type equation, Discrete Contin. Dyn. Syst., 44 (2024), no. 8, pp. 2342 -- 2367. 

                [ Jounal ]　　（Doi: 10.3934/dcds.2024030）  available on arXiv: 2304.00802    [ arXiv ]     ※ Corresponding author

[ 12 ]    Y. Ichida, A characterization of nonnegative stationary solutions for certain 1D degenerate parabolic equations and their applications, Commun. Pure Appl. Anal. 23 (2024), no. 6, pp. 873--894.

　      　[ Journal ] 　（Doi: 10.3934/cpaa.2024038）※ Corresponding author

[ 11 ]   Y. Ichida, T.O. Sakamoto, Geometric approach to the bifurcation at infinity: A case study,  Qual. Theory Dyn. Syst. 23 (2024), no. 3, Paper No. 109, 24 pp.

　      　[ Journal ] 　（Doi: 10.1007/s12346-024-00966-5）※ Corresponding author

[ 10 ]    Y. Ichida, Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach, Discrete Contin. Dyn. Syst., 43 (2023), no. 5, pp. 1975--2001. 

                [ Journal ]         (Doi: 10.3934/dcds.2022188)   ※ Corresponding author

[ 9 ]    Y. Ichida, Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations, Discrete Contin. Dyn. Syst., Ser. B, 28 (2023), no. 2, pp. 1116--1132.

                [ Journal ]         (Doi: 10.3934/dcdsb.2022114)    ※ Corresponding author

[ 8 ]    Y. Ichida, Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity, Electron. J. Differ. Equ, 2023 (2023), no. 5, 1--20.

               [ Journal ]       ※ Corresponding author

[ 7 ]    Y. Ichida, T.O. Sakamoto, Radially symmetric stationary solutions for a MEMS type reaction-diffusion equation with fringing field, Nonlinearity, 36 (2023), no. 1, pp. 71--109.

                [ Journal ]         (Doi: 10.1088/1361-6544/ac9bc3)

[ 6 ]     Y. Ichida, T.O. Sakamoto, Stationary solutions for a 1D pde problem with gradient term and negative powers nonlinearity, J . Elliptic Parabol. Equ, 8 (2022), no. 2, pp. 885--918.

                 [ Journal ]    （Doi : 10.1007/s41808-022-00180-x)    ※ Corresponding author

[ 5 ]    Y. Ichida, On global behavior of a some SIR epidemic model based on the Poincar\'e compactification,  JSIAM Lett. 14 (2022), pp. 65--68.

                Open access :   [ Journal ]        (Doi: 10.14495/jsiaml.14.65)        available on arXiv: 2201.05321  [ arXiv ]     ※ Corresponding author

[ 4 ]    Y. Ichida, T.O. Sakamoto, Radial symmetric stationary solutions for a MEMS type reaction-diffusion equation with spatially dependent nonlinearity, Jpn. J. Ind. Appl. Math. 38 (2021), no.1, pp. 297--322.

                [ Journal ]        (Doi: 10.1007/s13160-020-00438-8)

[ 3 ]    Y. Ichida, K. Matsue, T.O. Sakamoto, A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations,  JSIAM Lett. 12 (2020), pp. 65--68

               Open access :  [ Journal ]        (Doi: 10.14495/jsiaml.12.65)        available on arXiv: 2008.00174   [arXiv]     ※ Corresponding author

[ 2 ]    Y. Ichida, T.O. Sakamoto, Traveling wave solutions for degenerate nonlinear parabolic equations, , J. Elliptic Parabol. Equ. 6 (2020), no.2, pp. 795--832.

              [ Journal ]    （Doi : 10.1007/s41808-020-00080-y）    [ Correction ] 

[ 1 ]    Y. Ichida, T. O.  Sakamoto, Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity. Proc. Japan Acad. Ser.A Math Sci. 96 (2020), no.1, pp. 1--6. 

Open access  :  [ Journal ]   （Doi : 10.3792/pjaa.96.001）

[ 1 ]    Y. Ichida, Traveling waves in the spatial 1D Fisher-KPP equation with Allee effect, submitted.

 J.-S. Guo, Y. Ichida, C.-C. Wu, S. Yotsutani, Bifurcation diagram for boundary value problem arising in the polarized ionic conductor, in preparation.

Y. Ichida, The minimal speed of the unbounded traveling wave solutions for one-dimensional reaction-diffusion equation and their relationship with the dynamics at infinity, in preparation

Y. Ichida, Unbounded Traveling Wave Solution, on going

Y. Ichida, Y. Tanaka, chemotaxis, on going.

Y. Ichida, H. Izuhara, chemotaxis, on going.

Y. Ichida, H. Izuhara, self-diffusion equation, on going.

Y. Ichida, D. Yamane, K. Kakuno, MEMS, on going.

T. Ishiwata, Y. Ichida, Y. Nakata, delay & blow-up, on going

[ 4 ]    市田 優，微分方程式の無限遠ダイナミクスといくつかの応用，数学と現象 in 宮崎，2024, 11p.   [ HPへ ] 

[ 3 ]    市田 優，坂元 孝志，MEMS型反応拡散方程式へのポアンカレ型コンパクト化の応用（偏微分方程式の幾何学的様相），京都大学数理解析研究所講究録（RIMS Kokyuroku） No. 2251 (2023.5),  63--73.     [ HPへ ] 

[ 2 ]    市田 優，無限遠ダイナミクスが導くある走化性方程式系の球対称定常解，第43回発展方程式若手セミナー報告集 (2022)，33--40.

[ 1 ]    市田 優，相空間のコンパクト化に基づく空間1次元退化放物型方程式における非負の進行波解の分類，第18回 数学総合若手研究集会：数学の交叉点，Hokkaido University Technical Report Series in Mathematics（北海道大学数学講究録）182 (2022), 737--745.      [ HPへ ] 

[ 2 ]   市田 優，数学の防災，防災の数学，『理』（コトワリ），76号（2025年10月），関西学院大学出版会，4--5.

[ 1 ]   市田 優，数式たちは防災している!? 数理モデリング，力学系理論の観点からの防災数学 ，数学セミナー，749号（2024年3月号），日本評論社，15 -- 17.

[ 1 ]  2024/10/4公開「月と窓」関西学院大学ウェブ広報誌，"いつかは自然災害の予測も．身の回りに潜む"災い"を数理モデルで予測・制御する「防災数学」への期待"：[ 月と窓のHP ]