一类具有脉冲的中立型时滞微分方程正周期解的存在性

Existence of Positive Periodic Solutions for a Class of Neutral Delay Model with Impulses

一个实际生态系统,常受到周围环境变化以及人类活动的影响,因而在生态系统建模中应该考虑脉冲的存在.现有的研究过多局限在具有常时滞的周期系统的中立型泛函微分方程,对具有脉冲的中立型时滞微分方程模型研究较少.本文利用重合度理论,研究了一类具有脉冲的中立型时滞微分方程模型,得到了其周期解存在的充分条件.

The ecological system is often affected by environmental changes and other human activities,so the existence of impulses must be considered in the ecological system model.Most of the recorded research deal with the system without impulse,rarely with impulse.By means of theory of coincidence degree,a sufficient condition for the existence of positive periodic solutions to certain neutral delay model with impulses is obtained.