中北大学学报（自然科学版）2017，Vol.38Issue(6)：569-575,7.DOI:10.3969/j.issn.1673-3193.2017.06.003
具Holling-typeⅡ型功能反应的随机时滞捕食系统的研究
Research of the Stochastic Delay Predator-Prey System with Holling-type Ⅱ Functional Response
摘要
Abstract
A stochastic delay predator-prey system with Holling-type Ⅱ functional response was consid-ered.By constructing the appropriate Lyapunov function and using the It? formula,the dynamical be-haviors of the stochastic system were discussed.It is proved that there exists a unique global positive so-lution for any given positive initial condition.Furthermore,the validity of the stochastic system is guar-anteed by stochastic ultimate boundedness of the analyzed solution.Finally,the asymptotic moment es-timation of the solution was given.It draws the conclusion that even a small random disturbance can guarantee the boundedness of population.These properties of the solution can provide theoretical sup-port for biological resource management.关键词
Holling-typeⅡ型功能反应/随机时滞捕食系统/全局正解/随机最终有界性/解的渐近矩Key words
Holling-type Ⅱ functional response/stochastic delay predator-prey system/entire positive solution/stochastic ultimate boundedness/gradual moment of solution分类
数理科学引用本文复制引用
王晓燕,董玲珍,王素霞..具Holling-typeⅡ型功能反应的随机时滞捕食系统的研究[J].中北大学学报（自然科学版）,2017,38(6):569-575,7.基金项目
教育部科学技术研究重点项目(210030) （210030）
山西省自然科学基金资助项目(2013011002-3) （2013011002-3）
