一类两种群均有收获率的生物捕食系统的定性分析  

Qualitative analysis of a kind of biological food-predator system with harvesting rates for two species groups

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：《兰州理工大学学报》2012年第1期157-162,共6页Journal of Lanzhou University of Technology

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)的资助

摘　　要：定性分析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,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,不存在的条件及开发研究的结果.Qualitative analysis of a kind of food-predator system with functional response of Holling Ⅲ and harvest rate for any two species groups was performed.By using ordinary differential equation characterization,stability and bifurcation theory,the characteristics and the conditions of the existence and nonexistence of the limit cycle of this system at equilibrium point were obtained.The investigation result was developed,also.

关 键 词：细焦点 极限环 存在性 

分 类 号：O175[理学—数学]