一类具有收获率的食饵-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] 邵海琴[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：《延安大学学报（自然科学版）》2010年第3期16-20,共5页Journal of Yan'an University：Natural Science Edition

基　　金：甘肃省教育厅科研基金(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HollingⅢ类功能反应的食饵-捕食系统作了定性分析。应用常微分方程定性,稳定性及分支理论,得到此类生物捕食系统的平衡点的性态和极限环的存在、不存在的条件。对更具一般性的一类具有非常数收获率的食饵-捕食系统作了较为全面的定性分析,补充和完善了前人的结果。A qualitative analysis of a kind of food-predator systemes with Holling II functional resonse and harvesting rates is considered. Using qualitative and stability theory of differential equations,the quality of the equilibrium is discussed,the conditions of existence and nonexistence of the limit cycle and conclusions of research and development in this system are obtained. A more comprehensive qualitative analysis of a more general kind of food -preda-tor systemes with harvesting 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]