时间测度上具有时滞基于半比率的捕食者-食饵扩散系统的周期解

Periodic Solutions for a Delayed Semi-ratio-dependent Predator-prey Diffusion System on Time Scales

在时间测度上研究一类具有时滞和基于半比率且有功能性反应的两种群捕食者-食饵扩散系统,利用Mawhin重合度理论建立了这类系统的周期解存在的一个充分性判据.从而使这一类系统的连续与离散情形即相应的微分方程和差分方程的周期解存在性问题得到了统一研究.

This paper investigates the existence of periodic solutions of a semi-ratio-dependent predator-prey diffusion syslem with functional responses and time delays on time scales. By using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.