具有时滞和年龄结构的食蚜蝇-蚜虫模型的稳定性分析

Stability Analysis of Scaeva Pyrastri and Aphid Model with Time Delay and Age Structure

研究了一类具有时滞和年龄结构的食蚜蝇-蚜虫模型,应用微分方程稳定性理论,讨论了系统三个非负平衡点的稳定性.并对正平衡点E3出现Hopf分支的情况进行了研究,通过计算机模拟仿真,对理论结果进行了验证,最后给出了该模型的生物学解释.

In this paper,an scaeva pyrastri and aphid model with time delay and age structure is studied. The stability of three nonnegative equilibrium points is discussed by using the stability theory of differential equations. The Hopf bifurcation of the positive equilibrium point E3 is studied. The theoretical results are verified by computer simulation. Finally,the biological explanation of the model is given.