摘要
利用系统分析的方法研究了一类非线性红松林生态系统的稳定性,讨论了其鞍结分支和Hopf分支,且对Hopf分支周期解进行了详细的分析和计算,指出了红松林生态系统中松籽、鼠类和幼苗三种群数量具有周期波动的特征.
In this paper,a kind of nonlinear three-dimensional model of Pinus koraiensis forest ecological system including pine seeds,squirrels and seedlings is considered. Systematic analysis method is used to discuss the stability of the model.The saddle-node bifurcation and Hopf bifurcation are also discussed.Furthermore,computation formula and analysis for the periodic solution of the Hopf bifurcation is given in detail.The results show that the numbers of pine seeds,squirrels and seedlings in the pinus koraiensis forest ecological system will have a law fluctuation with time.
出处
《生物数学学报》
CSCD
北大核心
2010年第4期598-608,共11页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of China(11071011)
the National Water Pollution Control and Management Technology Major Projects(2008ZX07314-006 and 2009ZX07424-006)
from the Ministry of Science and Technology of China and the Natural Science Foundation of Beijing University of Civil Engineering and Architecture(101003707)
关键词
红松林
稳定性
鞍结分支
HOPF分支
周期解
Pinus koraiensis forest
Stability
Saddle-node bifurcation
Hopf bifurcation
Periodic solution
