研究了一类具有扩散和变时滞的非自治捕食与被捕食系统,根据种群生态系统一致持续性的定义,构造了一有界紧域,证明了系统在该有界紧域下的一致持续性,且此一致持续性与扩散率无关.
A nonautonomous predator-prey system with diffusion and varying time delay is established. According to the definition of uniform persistence, a bounded compact region is constructed. It is proved that the system is permanent in this region and its persistence is irrespective of the diffusion.