具时滞的蛞蝓增长模型的动力学性质分析

Dynamical Property of Slug Growth Model with Delay

研究了具时滞的蛞蝓增长模型,讨论了该模型平衡点的稳定性,即通过分析其在平衡点处的线性化方程的特征方程根的分布情况,得出了平衡点稳定性的条件;并以τ为参数,得到了hopf分支存在的条件。最后对模型进行了数值模拟,验证了前面的结论。

In this paper, the slug growth model with delay is studied. The part stability of the system is investigated, where τ is regarded as a parameter. It is found that there are stability switches, and bifurcations occur when the delay τ passes through a sequence of critical values. At last, some numerical simulations on the model were carried out to support the analytic resuhs.