不确定人口模型的性质  

The Property of Uncertain Population Model

作　　者：高采文 张志强 卢永红 赵深淼 GAO Cai-wen;ZHANG Zhi-qiang;LU Yong-hong;ZHAO Shen-miao(School of Mathematics and Statistics,Shanxi Datong University,Datong Shanxi,037009)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2022年第2期30-32,88,共4页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：山西省哲学社会科学规划项目[2020YJ132];大同市应用基础研究项目[2021157]。

摘　　要：在人口模型的研究中,微分方程是一个重要工具,但大多数用微分方程描述的人口模型并没有考虑不确定因素,而现实的人口动态变化必然受到诸多不确定性因素的影响。考虑到这些不确定因素的影响,文章研究不确定人口模型的α轨道,并讨论解的逆不确定分布以及有限时间内模型的p阶矩稳定性。此外,文中还给出数值算例来说明所得的结果。The differential equation is an important tool in population model research, but most of the population models described by differential equations do not consider the uncertain factors, and the actual dynamic change of population is bound to be affected by many uncertain factors. Considering the influence of uncertain factors, this paper studies the path of uncertain population model and discusses the inverse uncertain distribution of solution. The stability in p-th moment of the model in finite time is also researched. In addition, some numerical examples are given to illustrate the results.

关 键 词：不确定人口模型 不确定微分方程 Liu过程 稳定性 

分 类 号：O193[理学—数学]