一类生物捕食系统的定性分析  

A qualitative analysis of a class of food-predator system

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》2013年第6期156-160,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省教育厅科研基金(0608-04)

摘　　要：对一类两种群均有收获率的具有较为特殊的功能反应函数的食饵-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,不存在的条件及开发研究的结果.Qualitative analysis of a class of food-predator system with two kinds of groups having harvest rate and more special functional resonance was carried out and by using ordinary differential equations characterization,stability and bifurcation theory,the characteristics of its equilibrium was obtained,so that the conditions of existence and nonexistence of the limit cycle and the research cconclusions were obtained for this class of food-predator system.

关 键 词：细焦点 极限环 存在性 

分 类 号：O175[理学—数学]