Coexistence and Separation of Two Residential Groups—An Interactional Spatial Dynamic Approach

This paper is concerned with the spatial and temporal distribution of residents in an urban area. The residents are classified into two groups, that is, black and white, according to their characteristics. A dynamic model is built to explain how the residents are distributed over time and space. The model consisting of a set of partial differential equations is similar to competition-diffusion equations in biology. We investigate conditions of coexistence and separation of the two groups.