一类有界捕食-食饵系统持久性的平均化条件(英文)  

Average Conditions for Permanence in a Bounded Predator-prey System

作　　者：樊永红[1] 王琳琳[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《应用数学》2017年第2期409-414,共6页Mathematica Applicata

基　　金：Supported by NSF of China(11201213,11371183);NSF of Shandong Province(ZR2015AM026,ZR2013AM004);the Project of Shandong Provincial Higher Educational Science and Technology(J15LI07)

摘　　要：通过对解的一致上下界的估计,得到一类具有II类功能性反应的有界系统持久性的平均化条件.结果表明有界系统和它对应的平均化系统在某种程度上具有相似的性质.这就在周期系统及其对应的有界系统之间架起了一座桥梁.Average conditions are obtained for the permanence of a bounded system with Holling type II functional response. The research method involves the application of estimates of uniform upper and lower bounds for solutions. The results show that the bounded system and its corresponding average system have some similar properties in some extent. A bridge between the periodic system and its corresponding bounded system is built.

关 键 词：有界系统 持久性 平均化条件 上下平均 

分 类 号：O175[理学—数学]