具有时滞的捕食与被捕食系统的分支分析

Bifurcation Analysis in a Class of Predator-prey Model with Delay

运用中心流形定理和规范型理论研究了一类具有时滞的捕食与被捕食系统,得到了模型的Hopf分支周期解的分支方向、稳定性和周期的清晰的计算公式.

A predator-prey model with delay is studied by employing the center mainfold theorem and the normal form theory.The explicit formula for determing the direction,stability and period of the bifurcating periodic solutions are obtained.