一类两种群均有收获率的稀疏效应捕食系统的定性分析  

The qualitative analysis of a kind of predator-prey system with scanty effect for the non-constant harvesting rates both of predator and prey

作　　者：蒋自国[1] 吴文权[1] 董彪[1] 

机构地区：[1]阿坝师范高等专科学校数学与财经系,四川郫县611741

出　　处：《西南民族大学学报（自然科学版）》2011年第2期176-181,共6页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：四川省教育厅自然科学基金(09ZC001);阿坝师专校级重点科研基金(ASA09-12)

摘　　要：对一类两种群均具有非常数收获率的稀疏效应捕食系统进行了定性分析,利用常微分方程定性和稳定性理论,得到了此类食饵-捕食系统平衡点的性态和极限环的存在和不存在的充分条件.包含和完善了已有的结果.A qualitative analysis is conducted on a kind of predator-prey system with scanty effect for the no-constant harvesting rates both of predator and prey, and by using ordinary differential equations qualitative, stability theory, the sufficient conditions for the existence, non-existence of the limit cycle are obtained. The present results include and improve some old results.

关 键 词：捕食系统 稀疏效应 极限环 全局渐近稳定 

分 类 号：O175[理学—数学]