一类具有非单调增长率和功能反应的捕食者-食饵系统的定性分析  

Qualitative Analysis of a Kind of Predator-Prey System With Non-monotony Increase Rate and Functional Response

作　　者：陈晓鹰[1] 

机构地区：[1]福建工程学院基础学科教研部,福建福州350000

出　　处：《生物数学学报》2005年第1期122-127,共6页Journal of Biomathematics

摘　　要：考虑一类食饵密度具有非单调增长率,捕食者具有功能性反应的捕食者-食饵系 统,得到系统在第一象限内正平衡点的区域稳定的条件和极限环存在唯一的条件,完整地讨论了 系统(1)的拓扑结构.Considering a kind of predator-prey system which the prey have non-monotony increase rate and the predator have a functional response, we get the conditions under which the positive equilibrium point of the system is areal stable in the first quadrant or there is one and only one limit cycle of the system in the same quadrant, in the same time, the topology structure of the system have been discussed perfectly.

关 键 词：非单调增长率 功能性反应 平衡点 极限环 拓扑结构 

分 类 号：O175[理学—数学]