一个稳态人口发展方程的分析

Analysis of the steady-state population development equation

对于一般的人口发展方程,不考虑人口的迁移活动,将时间区间单位化,得到一个简化的稳态人口方程模型.用线性算子理论将稳态人口发展方程模型转化为抽象的Cauchy问题,证明了所得到的人口算子为闭的、稠定算子,且可以生成一个压缩(C0)半群.

A simplified model of the steady-state population equation is received,the time interval is standardized for the general population development equation without regard to the migration of population activities.With the theory of linear operator,we transform model of the steady-state population equation to the Abstract Cauchy problem.The population of the operator to be closed and densely defined are proved.The population of the operator can generate a compression semigroup of class C0.