一类两种群均有收获率的生物捕食系统的定性分析  

A qualitative analysis of a kind of food-predator systemes with harvesting rates

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：《西北师范大学学报（自然科学版）》2011年第3期5-10,共6页Journal of Northwest Normal University(Natural Science)

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

摘　　要：对一类两种群均有收获率的具Holling Ⅱ类功能反应的食饵-捕食者系统作定性分析,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存在和不存在的条件.A qualitative analysis of a kind of food-predator system with two kinds of groups having harvest rate and Holling type Ⅱ functional response is considered by using ordinary differential equations characterization,stability and bifurcation theory.The quality of the equilibrium is discussed,and the conditions of existence and nonexistence of the limit cycle are obtained.

关 键 词：细焦点 极限环 存在性 捕食系统 收获率 

分 类 号：O175[理学—数学]