Logistic人口增长模型离散化的数学现象

Mathematical Phenomenon of Discretization of Population Growth Model

以人口预测为背景建立了人口增长的微分方程模型,考虑它的离散化,得到相应的差分方程模型,将其迭代格式进行简化,讨论了模型的稳态解及倍周期解直至混沌,并模拟了其相应参数不同取值下的图形.

Based on the population forecasting,the differential equation model of population growth is established in this paper.First,by discretization,the corresponding difference equation model is obtained,and the iterative scheme is simplified.Then,the steady state solution,the periodic solution of the model and chaos are discussed.Finally the graphics are simulated under different values of the corresponding parameters.