具收获率的一类食饵捕食系统的定性分析  

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

作　　者：何德明[1,2] 窦霁虹[1] 彭书新[1] 

机构地区：[1]西北大学数学系,陕西西安710127 [2]天水师范学院数学系,甘肃天水741001

出　　处：《西北大学学报（自然科学版）》2009年第1期19-22,共4页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2003A07)

摘　　要：目的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。方法常微分方程定性,稳定性及分支理论。结果得到此类生物捕食系统的平衡点的性态和极限环的存在性、不存在性的条件。结论对更具一般性的一类具有收获率的生物模型作了较为全面的定性分析,补充和完善了前人的结果。Aim To make a qualitative analysis of a kind of food-predator system with Holling Ⅱ functional response and harvesting rates. Methods Qualitative and stability theory of Differential Equations. Results The quality of the equilibrium is discussed, the conditions of existence and nonexistence of the limit cycle in this system are obtained. Conclusion A more comprehensive qualitative analysis of a more general kind of food-predator systemes with larvesting rates is considered, the conclusion is renewed.

关 键 词：细焦点 极限环 存在性 

分 类 号：O175[理学—数学]