一类两种群均有收获率的HollingⅡ类生物捕食系统的定性分析  

A qualitative analysis of a kind of food-predator systemes with HollingⅡ functional resonse and harvesting rates

作　　者：何德明[1] 窦霁红[2] 何万生[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741000 [2]西北大学数学系,陕西西安710069

出　　处：《纯粹数学与应用数学》2009年第4期752-759,共8页Pure and Applied Mathematics

基　　金：甘肃省教育厅科研项目(0608-04);天水师范学院中青年教师科研资助项目(TSA0932)

摘　　要：对一类两种群均有收获率的具HollingⅡ类功能反应的食饵-捕食系统作定性分析,利用常微分方程定性,稳定性及分支理论,得到此类生物捕食系统平衡点的性态和极限环的存在,不存在的条件及开发研究的结论,补充和完善了前人的结果.For a class of two kinds of groups have harvested the rate of functional response with HollingII Prey-predator system for qualitative analysis, using ordinary differential equations characterization, stability and bifurcation theory, to be such a biological predator-prey system behavior of the equilibrium point and limit cycle The existence of non-existent conditions and the conclusions of research and development to complement and improve the results of their predecessors.

关 键 词：细焦点 极限环 存在性 

分 类 号：O175[理学—数学]