讨论一类有状态依赖时滞和连续时滞积分微分方程系统正周期解的存在性

On the existence of positive periodic solution of an integral differential equation system with state-dependent delay and continuous delay

利用重合度理论讨论了一类状态依赖时滞和连续时滞积分方程所描述的多物种生态竞争系统正周期解的存在性,得到了保证周期解存在的充分性条件.

By using the methods of coincidence degree theory,we discuss the existence of positive periodic solution of multispecies ecological competition system modelled by an integral differential equation system with both state-dependent delay and continuous delay.Satisfactory conditions ensuring the existence of positive periodic solution of the equation system（some new results） are obtained.