摘要
研究以Lotka-Volterra竞争方程为基础的一个时滞网站竞争系统,将时滞作为分支参数,通过分析共存平衡解的特征方程,研究系统的线性稳定性和Hopf分支.进一步利用正规化理论和中心流形定理确定分支方向和分支周期解的稳定性.给出数值模拟的例子.
A delayed competitive web-site system was investigated, based on the Lotka-Volterra competitive equations, where the time-delay was regarded as the bifurcation parameter. By analyzing the characteristic equation with coexistent equilibrium solutions, the linear stability of the system and Hopf bifurcation were investigated. Further, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions were determined by using the normalization theory and center manifold theorem. Finally, an illustration of numerical simulation was given.
出处
《兰州理工大学学报》
CAS
北大核心
2009年第2期136-141,共6页
Journal of Lanzhou University of Technology
基金
教育部科学技术研究重点项目(209131)
关键词
时滞
竞争系统
HOPF分支
稳定性
time delay
competitive system
Hopf bifurcation
stability
