具有脉冲扰动的随机周期单种群扩散模型(英文)  

A Stochastic Periodic Single-Species Diffusive Models with Impulsive Perturbations

作　　者：谭德君[1] 

机构地区：[1]集美大学教师教育学院,福建厦门361021

出　　处：《生物数学学报》2014年第1期23-33,共11页Journal of Biomathematics

摘　　要：文章研究一个具有脉冲与随机扰动的周期单种群扩散模型.通过构建合适的Lyapunov函数及利用脉冲微分方程比较定理与随机微分方程比较定理,获得种群灭绝和平均持续生存的条件.进而我们确定系统解的均值上界条件.In this paper,a periodic single-species diffusive models with stochastic and impulsive perturbations is studied.By constructing a suitable Lyapunov function and using comparison theorem of impulsive differential equation and stochastic differential equation,a set of sufficient conditions for extinction,persistence in the mean.Further,we estimate the conditions for upper bounded for the expectations for the solution of this system.

关 键 词：单种群扩散模型 随机扰动 脉冲效应 灭绝 平均持续生存 

分 类 号：O175.14[理学—数学]