Qualitative Analysis of a Delayed and Stage-Structured Predator-Prey System

Lingshu Wang, Guanghui Feng
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Abstract

A delayed and stage-structured predator-prey system with Holling type-II functional response is discussed. By using the normal form theory and center manifold theorem, the linear stability of the system is investigated and Hopf bifurcations are established. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.
时滞阶段结构捕食-食饵系统的定性分析
讨论了一类具有Holling ii型功能响应的时滞阶段结构捕食-食饵系统。利用范式理论和中心流形定理,研究了系统的线性稳定性,并建立了Hopf分岔。给出了分岔方向的确定公式和分岔周期解的稳定性。数值模拟验证了理论结果。
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