一类两种群均有收获率的HollingⅢ类生物捕食系统的定性分析  

Qualitative Analysis of a Food-Predator System with Holling Ⅲ Functional Response and 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：《西安文理学院学报（自然科学版）》2010年第4期40-43,共4页Journal of Xi’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.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的平衡点的性态和极限环的存在、不存在的条件.对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,补充并完善了前人的结果.This paper gives a qualitative analysis of a food-predator system with Holling Ⅲ functional response and harvesting rates.We adopt ordinary differential equations and stability theory.An equilibrium is identified and the conditions of existence and nonexistence of the limit cycle in this system are obtained.This qualitative analysis of a food-predator system with outstanding harvesting rates is supposed to be more comprehensive than previous studies in the field.

关 键 词：细焦点 极限环 存在性 

分 类 号：O175[理学—数学]