污染环境下三种群随机互惠系统生存分析  

Survival analysis of stochastic cooperation system of three species in a polluted environment

作　　者：张笑玲 谢红梅 ZHANG Xiaoling;XIE Hongmei(College of Science, Shihezi University, Shihezi 832003, Chin)

机构地区：[1]石河子大学理学院,石河子832003

出　　处：《黑龙江大学自然科学学报》2018年第1期43-52,共10页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11161040)

摘　　要：研究污染环境下三种群随机互惠模型,利用随机分析中的随机比较定理、伊藤公式和行列式的依行依列展开规则,获得各种群趋于灭绝、随机非平均持久、随机弱平均持久及随机强平均持久的充分条件,得到各种群随机弱平均持久与趋于灭绝之间的阈值。By using the stochastic comparison theorem and Ito formula of stochastic analysis,and the row（ column） expansion formulations of determinant,stochastic cooperation model of three species in a polluted environment is studied. Sufficient conditions for stochastic extinction,stochastic non-persistence in the mean,stochastic weak persistence in the mean,and stochastic strong persistence in the mean for each population are obtained. The thresholds of weak persistence in the mean and extinction for each population are derived.

关 键 词：环境污染 三种群 随机互惠模型 生存分析 

分 类 号：O211[理学—概率论与数理统计]