(Ongoing project)
・Kernel-based interface dynamics in a nonlocal bistable equation
・Effect of the integral kernel on the asymptotic behavior for a linear nonlocal evolution equation
・Froced waves in competition systems
・Mathematical analysis for nonlocal advection-reaction-diffusion equations
・Pattern dynamics in reaction-diffusion systems on metric graphs,
・Heterogeneity effects
・Traveling wave type solutions to a time-fractional Fisher-KPP equation
・Asymptotic traveling wave solutions to a time-fractional Allen-Cahn equation
(Submitted)
[14] J.-S. Guo, K. Guo, H. Ishii
“TBA”
[13] H. Ishii, H. Murakawa, Y. Tanaka
“Relationship between haptotaxis and chemotaxis in cell dynamics”
[12] H. Ishii, Y. Tanaka
“Reaction-diffusion approximation of nonlocal interactions in high-dimensional Euclidean space”
arXiv: https://arxiv.org/abs/2504.15180
[11] H. Ishii, Y. Tanaka
“On the approximation of spatial convolutions by PDE systems”
arXiv: https://arxiv.org/abs/2412.19539
(Peer-reviewed)
[10] H. Ishii, R. Watanabe,
“Spot solutions to a neural field equation on oblate spheroids”
Communications in Nonlinear Science and Numerical Simulation, 152(A), (2026), 109172.
https://www.sciencedirect.com/science/article/pii/S1007570425005830?via%3Dihub
[9] T. Miura, H. Ishii, Y. Hata, H. Takigawa-Imamura, K. Sugihara, S.-I. Ei, X. Bai, E. Ihara, Y. Ogawa
“A mathematical model of human oesophageal motility function”
Royal Society Open Science, 12(8), (2025), 250491.
https://royalsocietypublishing.org/doi/10.1098/rsos.250491
[8] H. Ishii
“Propagating front solutions in a time-fractional Fisher-KPP equation”
Discrete and Continuous Dynamical Systems Series B, 30, 2460-2482 (2025).
https://www.aimsciences.org//article/doi/10.3934/dcdsb.2024173
[7] H. Ishii
“Asymptotic profiles of zero points of solutions to the heat equation”
Proceedings of the American Mathematical Society, 152, 4451-4461 (2024).
https://doi.org/10.1090/proc/16934
[6] Y. Naroda, Y. Endo, K. Yoshimura, H. Ishii, S.-I. Ei and T. Miura
“Noise-induced scaling in skull suture interdigitation model”
PLoS ONE 15(12): e0235802, 14 pages.
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0235802
[5] S.-I. Ei, H. Ishii
“The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect”
Discrete and Continuous Dynamical Systems Series B, 26(1), 173-190 (2021).
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020329
[4] S.-I. Ei, H. Ishii, S. Kondo, T. Miura, Y. Tanaka
“Effective nonlocal kernels on reaction-diffusion networks”
Journal of Theoretical Biology, 509, (2021), 110496, 17pages.
https://www.sciencedirect.com/science/article/pii/S0022519320303519
[3] S.-I. Ei, H. Ishii, M. Sato, Y. Tanaka, M. Wang, T. Yasugi
“A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices”
Journal of Mathematical Biology, 81, 981-1028 (2020).
https://doi.org/10.1007/s00285-020-01534-6
[2] S. Seirin-Lee, T. Sukekawa, T. Nakahara, H. Ishii, S-I. Ei
“Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell”
Journal of Mathematical Biology, 80, 1885-1917 (2020).
https://doi.org/10.1007/s00285-020-01484-z
[1] S.-I. Ei, J.-S. Guo, H. Ishii, and C.-C. Wu
“Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel”
Journal of Mathematical Analysis and Applications, 487(2) (2020) 124007, 14 pages.
https://www.sciencedirect.com/science/article/pii/S0022247X20301694
（Proceedings）
[3] 石井宙志，栄伸一郎
“非局所反応拡散方程式における定常フロント解同士の相互作用”
第17回数学総合若手研究集会-北海道大学数学講究録-, 北海道大学，180，pp. 471-478，2021.
[2] 栄伸一郎，Jong-Shenq Guo，石井宙志，Chin-Chin Wu
“符号変化する積分核を有する時間発展方程式における進行波解の存在について”
第16回数学総合若手研究集会-北海道大学数学講究録-, 北海道大学，178，pp. 473-480，2020.
[1] 石井宙志，栄伸一郎，佐藤純，八杉徹雄
“球面上における分化の波の数値計算”
第15回数学総合若手研究集会-北海道大学数学講究録-, 北海道大学，176，pp. 631-638，2019.
（Others）
・祐川翼，石井宙志，工藤勇，関元樹，長谷川蒼，波多野幸平，安孫子啓介，田嶌優，藤江克徳，牧田慎平
“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, 182, pp.1-850, 2022.
・三栖邦康，足利涼介，沖田誠悟，小山元希，桑田健，石井宙志，工藤勇，祐川翼，関元樹，長谷川蒼，波多野幸平
“第17回数学総合若手研究集会：数学の交叉点”
Hokkaido university technical report series in mathematics, 180, pp.1-585, 2021.
・豊川永喜，乙戸勇大，佐藤直飛，松坂公暉，山形颯，吉田啓佑，足利涼介，沖田誠悟，小山元希，桑田健，三栖邦康，石井宙志，祐川翼
“第16回数学総合若手研究集会：数学の交叉点”
Hokkaido university technical report series in mathematics, 178, pp.1-682, 2020.