摘要
研究一类具有时滞的两种群捕食系统.通过分析特征方程讨论了正平衡点的局部稳定性问题.通过构造适当的Lyapunov泛函,得到了系统正平衡点全局渐近稳定的充分条件,并讨论了在正平衡点附近Hopf分支的存在性问题.
A predator-prey model with time delay is investigated. The local stability of a positive equilibrium is discussed by analyzing the corresponding characteristic equation. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive equilibrium. The existence of Hopf bifurcation is also addressed.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2007年第4期392-394,398,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金项目(10671209)
