Hopf bifurcation and global stability for a delayed predator–prey system with stage structure for predator
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摘要
In this paper, a delayed predator–prey system with stage structure for predator is proposed and studied. It is found that the time delay is harmless for permanence of the stage-structured system. If αβ < 1, sufficient conditions which guarantee the global stability of positive equilibrium are given. If αβ > 1, we show that the unique positive equilibrium is locally asymptotically stable when time delay τ∗ is sufficiently small, while loss of stability by a Hopf bifurcation can occur as the delay increases.
论文关键词:Global asymptotic stability,Hopf bifurcation,Stage structure,Predator–prey,Time delay,Permanence
论文评审过程:Available online 18 March 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.03.011