The Controllability And The Verification Of A Discrete Linear Model With Immigration Control For Population Evolution System

This paper studied the problem of population evolution, which has been studied quantifiably for more than 200 years. There has already developed several different models. The most popular model in theoretic field is a semi-discrete linear model, because it has both advantages in discrete model and continuous model. However, it has become easier to do the matrix computation, as the development of computer. That has made the discrete mode more practical.Thus, a discrete linear model for population evolution system with immigration was introduced in this paper. We have studied the controllability of the model under different conditions. The rationality was stated and the fitness was demonstrated by the simulation. At last, this paper has forecasted the population of U.S within 100 years, based on the 2000 Censor.