西北师范大学学报（自然科学版）2012，Vol.48Issue(1)：26-32,7.
一类时滞捕食系统的稳定性与Hopf分支
The stability and Hopf bifurcation for a kind of predator system with time delay
摘要
Abstract
The stability and Hopf bifurcation for a kind of predator system with time delay is discussed. Appying Hurwitz discriminant method and eigenvalue theory, the sufficient condition of equilibrium being local asymptotic stability and the condition of Hopf bifurcation existence are obtained. By using Matlab software package, the fitting graph of solution curve is given. The feasibility of theorem conditions is also shown by an example.关键词
捕食系统/时滞/稳定性/Hopf分支/周期解Key words
predator system/ time delay/ stability/ Hopf bifurcation/ periodic solution分类
数理科学引用本文复制引用
王建芳,陈斯养..一类时滞捕食系统的稳定性与Hopf分支[J].西北师范大学学报（自然科学版）,2012,48(1):26-32,7.基金项目
国家自然科学基金资助项目(10871122,60671063) （10871122,60671063）
