一类具有阶段结构和时滞的捕食者-食饵模型分析(英文)
Analysis of a Stage-structured Predator-prey Model with Delay
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摘要: 研究一类具有时滞和阶段结构的捕食食饵系统.通过对特征方程的分析得到了正平衡点及边界平衡点的局部稳定性,进一步地给出了当τ增加到0τ时,系统在正平衡点附近产生Hopf分支.最后,对保持稳定性的时滞长度进行了估计.Abstract: A strage-structured predator-prey system with time delay is considered.By analyzing the characteristic equations,the local stability of a positive equilibrium and a boundary equilibrium is discussed,respectively.Further,it is proved that the system undergoes a Hopf bifurcation at the positive equilibrium when τ=τ0.The estimation of the length of delay to preserve stability has also been calculated
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