环境毒素对生物种群影响的随机延迟微分方程模型分析  

Model analysis of stochastic delay differential equations for the effect of environmental toxin to species population

作　　者：于辉[1] 袭杨[1] 李艳凤[1] 李欣[1] 朱桂英[1] 

机构地区：[1]黑龙江八一农垦大学理学院,黑龙江大庆163319

出　　处：《高师理科学刊》2016年第3期5-9,共5页Journal of Science of Teachers＇College and University

基　　金：黑龙江八一农垦大学学成;引进人才科研启动计划项目(XDB2014-16)--随机微分方程的数值解法及其应用;大庆市指导性科技计划项目(szdfy-2015-48)--环境毒素对生物种群影响的随机模型研究;大庆哲学社会科学规划研究项目--大庆产业转型模式的分析及其随机模型的构建

摘　　要：在环境毒素对生物种群影响的经典模型基础上,引入布朗运动模拟客观存在的随机干扰因素,且考虑到延迟因素,从而构造了环境毒素对生物种群影响的随机延迟微分方程模型,并证明了该模型全局正解的存在性、随机有界性和渐近性质.On the basis of the classical models of the effect of environmental toxin to species population,the model of stochastic delay differential equations for the effect of environmental toxin to species population was constructed in the presence of Brown motion to simulate the objective stochastic factors and in consideration of the delay.The existence of the global positive solutions,stochastic boundedness and the asymptotic property was then given for such model.

关 键 词：环境毒素 生物种群 随机微分方程 延迟 

分 类 号：O211.63[理学—概率论与数理统计]