一个离散半比率依赖捕食-食饵系统的持久性  

A Study on the Permanence of a Discrete Semi-Ratio-Dependent Predator-Prey System

作　　者：卢春[1] 张立杰[1] 

机构地区：[1]青岛理工大学理学院,青岛266520

出　　处：《青岛理工大学学报》2009年第1期117-120,共4页Journal of Qingdao University of Technology

基　　金：黑龙江省教育厅科学技术厅研究项目(11531428)

摘　　要：研究了一个带有Holling II类功能反应和时间延迟的离散半比率依赖捕食-食饵系统,Holling II功能性反应函数被称为无脊椎动物型;时间延迟是由于负反馈现象引起的.通过分析,给出了该系统保持持久性的充分条件,保证了捕食者和食饵长期时间内不会灭绝,也不会无限的繁殖下去,同时说明该生物种群对环境有很强的适应性.In this paper, we investigate a discrete semi-ratio dependent predator-prey system with Holling Ⅱ type functional response called invertebrate animal type and time delay due to negative feedback. By utilizing analytic method, sufficient conditions which ensure the permanence of the system are obtained. The theoretical result not only implies predator and prey won＇t extinct and breed infinitely, but also indicates their adaptable capacity to the environment.

关 键 词：半比率依赖捕食-食饵系统 时间延迟 离散 

分 类 号：O175.14[理学—数学]