非线性密度制约下的食饵—捕食系统的细焦点与极限环  

The Fine Focus and Limit Cycle of Prey-predator System Based on the Nonlinear Density Dependent Prey

作　　者：胡满佳[1] 李日红[1] 陶霞[1] 

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2013年第3期20-25,89,共7页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅一般项目(13C366);湖南理工学院校级科研项目(2013Y11)

摘　　要：根据常微分方程定性及分支理论,对一类两种群均具有非常数收获率的、且具HollingⅡ类功能反应函数的、基于食饵种群的非线性密度制约的食饵—捕食系统进行定性分析,得出该系统平衡点的性态和极限环存在与否的条件,还分析了多极限环的情形.Using qualitative and bifurcation theory of ordinary differential equations, in this paper, a HollingⅡ prey-predator system was investigated based on the nonlinear density dependent prey and the two species with variant harvest rate. The behavior of the equilibrium-point of the system and the conditions where its limit cycle exists or not, was obtained.

关 键 词：非线性密度制约 食饵-捕食系统 平衡点 极限环 

分 类 号：O175.1[理学—数学]