Logistic人口增长模型离散化的数学现象  

Mathematical Phenomenon of Discretization of Population Growth Model

作　　者：李娟[1] LI Juan(Longnan Teachers College, Chengxian 742500,Gansu, Chin)

机构地区：[1]陇南师范高等专科学校,甘肃成县742500

出　　处：《兰州文理学院学报（自然科学版）》2017年第5期28-30,共3页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：陇南师范高等专科学校2016年度教学改革项目(JXGG201641)

摘　　要：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.

关 键 词：LOGISTIC模型 离散化 2n倍周期收敛 混沌 

分 类 号：O172.2[理学—数学]