陕西科技大学学报（自然科学版）2011，Vol.29Issue(2)：153-160,8.
具有时滞的捕食-被捕食模型的稳定性及Hopf分支
STABILITY AND HOPF BIFURCATION OF A PREDATOR PREY MODEL WITH DELADY
摘要
Abstract
Stability and Hopf bifurcation of a predator-prey model with discrete and distribute delays is discussed. Sufficient conditions of the asymptotically stability are obtained, based on Lyapunov functional and the theory of characteristic value; Using the normal form theory and center manifold argument, direction of Hopf bifurcation and stability of bifurcating periodic solutions are investigated; Some numerical simulations are performed by Matlab to verify the theoretical results.关键词
时滞/捕食-被捕食/稳定性/Hopf分支Key words
time delay/ predator-prey/ stability/ Hopf bifurcation分类
数学引用本文复制引用
刘晓娜,陈斯养..具有时滞的捕食-被捕食模型的稳定性及Hopf分支[J].陕西科技大学学报（自然科学版）,2011,29(2):153-160,8.基金项目
国家自然科学基金资助项目(10871122,60671063) （10871122,60671063）
