具有功能反应和时滞的三种群捕食-食饵扩散模型的正周期解的存在性  

The Existence of Positive Periodic Solution for Three-Species Predator-Prey Diffusion Delay Models with Functional Response

作　　者：李必文[1] 

机构地区：[1]湖北师范学院数学系,湖北黄石435002

出　　处：《生物数学学报》2002年第4期385-394,共10页Journal of Biomathematics

基　　金：Supported by the National Nature Science Foundation of China(19531070);Youth Project Foundation of Hubei Province Education Department(2002B00002)

摘　　要：讨论了一类具有时滞和Michaelismenten型功能反应函数的三种群捕食-食饵扩散模型,且所有参数均依赖于时间.应用重合度连续性定理,得到了该系统正周期解存在性的充分条件.A three-species predator-prey diffusive model with time delay and Michaelis-menten type functional response is studied, where all parameters are time dependent. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for this system is established.

关 键 词：功能反应 时滞 三种群捕食-食饵扩散模型 正周期解 存在性 捕食-食饵斑块系统 重合度 连续性定理 

分 类 号：Q141[生物学—生态学]