三种群非自治扩散系统的概周期解  

Almost Periodic Solution of a Nonautonomous Diffusive System of Three Species

作　　者：吴丹阳[1] 柏灵[1] 

机构地区：[1]吉林大学数学科学院,吉林长春130000

出　　处：《吉林师范大学学报（自然科学版）》2003年第1期35-41,共7页Journal of Jilin Normal University:Natural Science Edition

摘　　要：本文考虑了一个非自治的扩散的捕食者一食饵系统,种群之一可以在两块斑块间扩散,其他两种则限定于一块斑块,不能扩散.本文证明了在某些适当的条件下,该系统可以保持持久性,更进一步,如果它是概周期的,可以利用比较定理和V-函数方法,得到它的唯一的正概周期解.In this paper,a nonautonomous two predators-one prey diffusive system is considered in which one of three species can diffuse between tow patches.while the others are confined to one patch and cannot diffuse.It is proved that the system can be made persistent under some appropriate conditions,further,if it is almost periodic system,it can have a unique almost positive periodic solution by using compassion theorem and V-function method.

关 键 词：三种群非自治扩散系统 概周期解 捕食者-食饵模型 最终有界集 全局吸引 数学生态学 

分 类 号：Q141[生物学—生态学] O175.1[生物学—普通生物学]