摘要
运用微分方程定性与稳定性分析的方法研究了一类食饵-捕食者系统的定性行为,讨论了该系统的平衡点的性态,给出了该系统极限环不存在性存在性的充分条件以及至多存在一个极限环的充分条件,从而补充和推广了前人已有的结果.
A class of predator-prey system was considered by the method of Stability and qualitative analysis. the quality of the equilibrium was discussed; the sufficient condition of nonexistence of close orbit was given. The existence of the limit cycle were proved, and the previous conclusions are bettered.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第4期823-827,共5页
Pure and Applied Mathematics
基金
山东省自然科学基金(Y2007A17)
关键词
平衡点
极限环
稳定性
equilibrium, limit cycle, stability
