一类时滞Nicholson果蝇系统数值Hopf分支分析

Numerical approximation of a class Nicholson’s blowflies model with delay

研究了一类具时滞的果蝇系统的数值Hopf分支问题,讨论了该系统的离散化系统数值Hopf分支的存在条件,并证明了当步长充分小时,数值Hopf分支值逼近于原系统的Hopf分支值。

The numerical approximation of a class Nicholson＇s blowflies model with delay was studied in this paper.The existence conditions of Hopf bifurcations of the discrete system were discussed. It also proved that for sufficient small step,the numerical Hopf bifurcation value is approximate to that of the original equation.