Abstract
In recent years, the rapid aging of china’s population and continued emergence of aging problem in some areas have resulted in a series of pressing social problems. These problems have already aroused great attention in our society. This thesis tends to make some model projections on the problem of aging in shanghai and China. This thesis mainly adopts Leslie matrix based on the development model of population dynamics to forecast and analyze China’s aging problem. Differential equations are used to get some forecasting statistics of the aging problem in Shanghai for the sake of relevant department’s further improvement of pension system. Therefore, this issue has a certain role in the future.
Keywords: Leslie matrix，Differential equation，Ageing，Matlab
