一类基于比率的捕食-食饵系统的参数分析  

Parametric Analysis of a Ratio-dependent Predator-prey System

作　　者：鲁铁军[1] 王美娟[1] 刘妍[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《数学的实践与认识》2007年第17期98-104,共7页Mathematics in Practice and Theory

摘　　要：研究一类基于比率和具第Ⅲ类功能性反应的捕食-食饵系统.对系统进行较为完整的参数分析.得到了奇点全局渐近稳定的条件,并且指出,系统的持续生存不仅与参数有关,还与其初值有关.A ratio dependent predator-prey system with Holling type Ⅲ functional response is considered. We present parametric analysis of this system. We give the sufficient condition of the global asymptotic stability for the singular point, and point out that both predator and prey will extinct. Such extinction may occur in two cases. In one case, both species become extinct regardless of the initial data. In other case, both species wilt die out only if the parameter.

关 键 词：全局渐近稳定 比率 功能性反应 持续生存 

分 类 号：O193[理学—数学] Q141[理学—基础数学]