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.
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.
出处
《信阳师范学院学报(自然科学版)》
CAS
2009年第3期321-324,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
National Natural Science Foundation of China(10771179)