具有扩散和变时滞的非自治捕食与被捕食系统的持续性  

Persistence for Nonautonomous Predator-prey System with Diffusion and Varying Time Delay

作　　者：曹珊[1] 杜雪堂[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2006年第4期23-26,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10071018)

摘　　要：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.

关 键 词：非自治捕食与被捕食系统 扩散 变时滞 持续性 

分 类 号：O175.12[理学—数学]