一类生物捕食系统的定性分析  

A qualitative analysis of a kind of food-predator systems

作　　者：何德明[1] 何万生[1] 谢保利[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《纯粹数学与应用数学》2011年第2期248-252,255,共6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较为特殊的功能反应函数的食饵-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,此类生物捕食系统平衡点的性态和极限环的存在,不存在及唯一的条件,获得了一类食饵-捕食系统的定性分析结果.For a class of two kinds of groups have harvested the rate of functional response with more specificPrey-predator system for qualitative analysis, using ordinary differential equations characterization, stabilityand bifurcation theory, the quality of the equilibrium is discussed, the conditions of nonexistence,existence anduniqueness of the limit cycle in this system are obtained 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]