纺织高校基础科学学报2012，Vol.25Issue(3)：268-278,11.
具有时滞和分段常数变量的食物有限模型的稳定性与分支分析
Stability and bifurcation analysis of the food-limited model with time delay and piecewise constant variables
摘要
Abstract
The stability,flip bifurcation and Neimark-Sacker bifurcation of a discrete-time single population model with food-limited and time delay are investigated in this paper.The sufficient conditions for existence and stability of bifurcation are derived by using piecewise constant arguments,center manifold theorem and bifurcation theory.Numerical simulations are presented not only to illustrate our results with the theoretical analysis,but also to exhibit the complex dynamical behaviors.关键词
局部稳定性/分段常数变量/翻转分支/Neimark-Sacker 分支Key words
local stability/piecewise constant variables/flip bifurcation/Neimark-Sacker bifurcation分类
数理科学引用本文复制引用
朱晓琳,陈斯养..具有时滞和分段常数变量的食物有限模型的稳定性与分支分析[J].纺织高校基础科学学报,2012,25(3):268-278,11.基金项目
Supported by the National Natural Foundation of China (10871122 （）
11171119) （）
