Topic: Stationary Economic Agglomeration of a Spatial Solow Model with Labor Migration

Lecturer: Dr. Kong Fanze (University of Washington)

Time: April 21, 2025，9:00 - 12:00, UTC+8

Tencent Meeting ID: 343-736-727

Biography: Kong Fanze, who obtained his Ph.D from the University of Britishi Columbia in Canada, is now a postdoctoral fellow in the Department of Applied Mathematics at the University of Washington. His research areas are centered around the concentration phenomena of solutions to reaction-diffusion equations and mean-field game equations. In recent years, he has published more than ten academic papers in prestigious mathematical journals including JMPA, SLAM J. Math. Anal., Math. Models Methods Appl. Sci., Journal of Nonlinear Sciences, and JDE.

Abstract: The investigation of core-periphery economic patterns is a fundamental topic in spatial economic analysis, and labor mobility has emerged as a key factor of great significance. Taking into account wealth diffusion and labor migration, a spatial Solow PDE model was proposed to explore the spatio-temporal dynamics of economic growth. In this talk, the lecturer will introduce our theoretical studies on the formation of localized patterns in the spatial Solow model under the condition of a high capital-induced labor migration rate. The stability analysis of boundary and interior spikes indicates that intense capital-induced labor migration can drive and stabilize economic agglomerations, concentrating wealth and labor in specific areas. Numerical results reveal that additional complex behaviors, such as phase transitions and spike insertion, occur in the spatial Solow model.

All teachers and students are welcome to attend!

Rewritten by: Lin Qiaochu
Edited by: Li Tiantian
Source: School of Mathematics and Statistics