摘要
讨论了具时滞和功能反应的n斑块捕食-食饵扩散系统,利用新的方法,得到了该系统正周期解存在性的判别准则。
In this paper, a nonautonomous predator-prey dispersion model with functional response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. By using a new method, a set of easily verifiable sufficient conditions are derived for positive periodic solutions of the system.
出处
《生物数学学报》
CSCD
2003年第2期167-175,共9页
Journal of Biomathematics
基金
Supported by the Youth Project Foundation of Hubei Province Education Department(2002B00002)
关键词
时滞
正周期解
n斑块捕食—食饵扩散系统
迭合度连续性定理
Positive periodic solutions
Predator-prey patch system
Delay
Continuation theorem of coincidence degree