有Ⅱ类功能反应的非自治捕-食系统的持续性与周期解(英文)  

Permanence and Periodic Solutions for Nonautonomous Predator-prey Systems with Type-ⅡFunctional Response

作　　者：易奇志[1,2] 赵晓华[3,4] 杜焰[5] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022 [2]中山大学数学与计算科学学院,广东广州510275 [3]云南大学数学系,云南昆明650091 [4]浙江师范大学数理与信息工程学院,浙江金华310091 [5]江西师范大学化学化工学院,江西南昌330022

出　　处：《生物数学学报》2009年第3期397-409,共13页Journal of Biomathematics

基　　金：Natural Science Foundation of China(10472100);Natural Science Foundation of Jiangxi Normal University(1073)

摘　　要：研究了一个有Ⅱ类功能反应的非自治捕—食系统持续性和周期解问题。给出了系统持续生存的充分条件,并且,当系统为周期系统时,得出了系统存在唯一的全局稳定正周期解的充分条件。A nonautonomous predator-prey system with type-II functional response is studied in this paper. It is proved that the system is permanent under appropriate conditions, Further, if the system is periodic, a set of easily verified sufficient conditions that guarantee the existence, uniqueness and global attractivity of strictly positive periodic solutions are derived.

关 键 词：终极有界性 不变集 持续性 周期解 唯一性 全局吸引性 

分 类 号：O415.6[理学—理论物理] O175.1[理学—物理]