摘要
In this paper, a nonautonomous predator-prey dispersion model is studied, where all parameters are time-dependent. The system, which is consisted of n-patches, the prey specics can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rates effect. Furthermore, sufficient conditions are established for global stability of the system.
本文研究一类带扩散的非自治捕食系统，该系统由ｎ个斑块组成，食饵种群可以在ｎ个斑块之间扩散，而捕食者种群限定在一个斑块不能扩散．得到系统持续生存和全局渐近稳定的条件．
基金
Supported by the Natural Science Foundatioll of Henan province (994051600)
