%0 Journal Article
%T Migration-Driven Aggregation Behaviors of Job Markets in a Multi-Group Environment
%A Ruoyan Sun
%J Economics Research International
%D 2013
%I Hindawi Publishing Corporation
%R 10.1155/2013/250717
%X 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. 1. Introduction Much research has been done on the aggregation process in the past few decades. This enthusiasm starts from natural scientists, according to [1¨C3] and references therein. Biologists find it possible to study the behavior of species via aggregation process [2], and physicists use it to look at dynamics of different systems [1, 3]. With the development of knowledge about networks, aggregation process has been applied to solve many networking problems. These problems vary from population migration [4] to social network about individual interactions in [5, 6]. Some people have introduced this method to social sciences as well, such as [7, 8]. Another field where aggregation process is vastly applied is population dynamics [9¨C11]. Population groups are viewed as aggregates, and the interaction among them can be assimilated to the ones among aggregates with different sizes. Immigration phenomenon is studied through aggregation process as well, such as in [12, 13]. Here immigration leads to two major effects: catalyzed birth and death rates on the original group. The relative dominance of one effect over the other is analyzed through the growth of the aggregates. Some assume an irreversible reaction scheme when dealing with aggregates: in [1]. Here, is an aggregate with size , and is the rate of migration from to . This scheme shows that for each individual monomer, it prefers larger aggregates and always moves from the smaller ones to the bigger aggregates. However, a more general reversible reaction
%U http://www.hindawi.com/journals/ecri/2013/250717/