摘要
目的研究了一类具有时滞的捕食-食饵系统的Hopf分支。方法应用Hopf分支理论进行研究。结果讨论了正平衡点的性质;以时滞τ作为分支参数,通过分析正平衡点处的特征方程,证明了系统存在Hopf分支现象。结论给出了系统发生Hopf分支的条件,完善了此模型的研究。
Aim In this paper,the Hopf bifurcation of a delayed predator-prey system in studied.Methods By applying the theorem of Hopf bifurcation.Results The stability of the positive equilibrium is discussed.By setting the delay τ as the bifurcation parameter and by analyzing the characteristic equation of the linearized system of original system at the positive equilibrium,it is found that Hopf bifurcations exist when the delay τ passes through a sequence of critical values.Conclusion The sufficient conditions of positive equilibrium occurring Hopf bifurcations are given,and improved this model is improved.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第6期957-960,共4页
Journal of Northwest University（Natural Science Edition）
基金
西北大学研究生创新基金资助项目(08YZZ31)
