Researcher in residence at the Maison Suger | May - August 2024
Toshiyuki Ogawa is Professor of Applied Mathematics at Meiji University, Tokyo. He received his PhD in 1993 at Hiroshima University. His research focuses on pattern formation in mathematical models spanning ecology, chemical reactions, physiology, and opinion dynamics. Through mathematical modeling, he explores the underlying principles governing these phenomena.
The project
Title: Opinion dynamics through reaction-diffusion system approach
"Social dynamics play a crucial role in shaping the opinions, beliefs, and behaviors of individuals within a society. With the increasing prevalence of social media and online platforms, understanding the emergence and evolution of opinions has become essential. On the other hand, opinion dynamics share similarities with ecological systems, where interactions of species play significant roles. And a lot of knowledge has been accumulated in mathematical ecologies. By applying these various mod- eling methods to the modeling of opinion dynamics, we aim to understand various social behaviors from a deeper perspective."
Hosting institution: École des hautes études en sciences sociales (EHESS)
Selective Bibliography
Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa, Bifurcation of co-existing traveling wave solutions in a three-component competition-diffusion system, Physica D: Nonlinear Phenomena, 448 133703-133703, Jun, 2023
Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa, Alien invasion into the buffer zone between two competing species, Discrete and Continuous Dynamical Systems - B, 2023
Mari Kawamura, Kei Sugihara, Hisako Takigawa-Imamura, Toshiyuki Ogawa, Takashi Miura, Mathematical Modeling of Dynamic Cellular Association Patterns in Seminiferous Tubules, Bulletin of Mathematical Biology, 83(4) 33-33, Apr, 2021
Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka-Volterra system of three competing species, Nonlinearity, 33(10) 5080-5110, Oct, 2020