Migration-Driven Aggregation Behaviors of Job Markets in a Multi-Group Environment

This paper introduces a new model describing the aggregate growth of job markets. We divide the job market in each city into two groups: native job market of size and an immigrant job market of size . A reversible migration of jobs exists in both groups. In addition, the interaction between these two groups creates both native and immigrant jobs. A loss of native jobs also takes place due to the interaction. Through studying initial conditions, job-creation rate, and job-loss rate we discover some meaningful results. The size change of native job market is closely related to that of the migration rate, native job-creation rate, and native job-loss rate. We assume that these rates are proportional to the sizes of two groups and find out that for certain initial conditions, immigrants influence native job markets positively. They create more jobs for both job markets. In addition, we can make conclusions about the future trend of the flow of jobs. People will move to places like big cities where there is a higher concentration of job opportunities