摘要
本论文研究了一类高维时滞松籽,鼠类和幼苗的红松生态系统的动力学行为,讨论了时滞对平衡点的稳定性和Hopf分支影响,指出了随着时滞的变化,平衡点由稳定变为不稳定,产生Hopf分支现象且一定条件下会出现分支周期解.数值模拟例证了分析结果.
In this paper,a kind of Pinus koraiensis ecological system with time delay including pine seeds,squirrels and seedlings is considered.The effect of time delay on stability of the equilibrium and Hopf bifurcation has been studied.And the results show that the delay may cause a stable equilibrium to become unstable,Hopf bifurcation occurs and the periodic solution of Hopf bifurcation is given under certain conditions.Numerical simulation with some hypothetical sets of data has been done to support the analytical findings.
出处
《生物数学学报》
2014年第4期577-585,共9页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of China(11371048,11071011)
the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality(PHR201107123)
the Plan Project of Science and Technology of BeijingMunicipal Education Committee(KM201210016007)
关键词
红松
时滞
稳定性
HOPF分支
数值模拟
Pinus koraiensis
Delay
Stability
Hopf bifurcation
Numerical simulation
