一类比率依赖Holling Ⅲ型捕食者-食饵系统的奇点稳定性分析  

On Equilibria Stability of a Ratio-dependent Holling Ⅲ Type Predator-prey System

作　　者：周宁[1] 路霞[2] 

机构地区：[1]昆明冶金高等专科学校文理学院,云南昆明650033 [2]北京科技职业学院基础部,北京102206

出　　处：《昆明冶金高等专科学校学报》2010年第5期84-90,共7页Journal of Kunming Metallurgy College

摘　　要：研究了一类比率依赖Holling Ⅲ型捕食者-食饵系统。给出了系统在原点处的一系列性质,说明原点是一个高次退化的奇点,描述了原点附近存在抛物型轨道、椭圆型轨道、双曲型轨道及其组合等多种拓扑结构。A ratio-dependent Holling type Ⅲ predator-prey system was studied. The qualitative behavior of the system at the origin in the interior of the first quadrant is given, and varieties of topologies existing around the origin, including parabolic orbits, elliptic orbits, hyperbolic orbits, and any combination of them were described.

关 键 词：捕食者-食饵系统 比率依赖 HOLLING Ⅲ型 高次奇点 

分 类 号：O175.14[理学—数学]