捕食者数量反应具Leslies形式的捕食系统的Hopf分支  

The Hopf Bifurcation of Predator's Numerical Response has Leslies Form

作　　者：曹明[1] 

机构地区：[1]陕西学前师范学院数学系,陕西710100

出　　处：《吉林化工学院学报》2013年第7期86-90,共5页Journal of Jilin Institute of Chemical Technology

基　　金：陕西学前师范学院科研基金重点项目(2013KJ007)

摘　　要：讨论了捕食者数量反应具Leslies型的食饵-捕食系统,利用常微分定性与稳定性方法,以滞量为参数,得到了正平衡点全局稳定的充分条件以及系统在正平衡点附近产生Hopf分支.本文所研究的系统是对已有系统的推广.The predator＇s numerical response that has Leslies form is studied.The time delay as the parameter is chosen,the sufficient condition of positive equilibrium point is obtained and the existence of the Hopf bifurcation is also found by ordinary differential and stability method.This system of article is the promotion of the existing system.

关 键 词：Leslies型 正平衡点 HOPF分支 

分 类 号：O175[理学—数学]