具性别偏食和HollingⅡ类功能反应的三种群系统的研究  

Study on Holling II Function and Sexual Favoritism for Three Types of Group

作　　者：王波[1] 张建勋[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2012年第3期38-41,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：讨论了一类三种群的Holling II类功能反应系统,且第二个种群对第一个种群具有性别偏食现象.利用不等式放缩方法得到了种群一致持续生存的条件,并通过构造适当的Liapunov函数得到了系统存在唯一、全局渐近稳定的正周期解的充分条件.This paper establishes a mixed model with a type of Holling Ⅱ functional response for three types of groups. The second group has sexual favoritism to the first group. The conditions are obtained for guaranteeing the permanence of the system using the method of inequalities. Based on the suitable Lyapunov function constructed, the sufficient conditions, the existence and uniqueness of the positive periodic solution are discussed.

关 键 词：性别偏食 HOLLING Ⅱ 持续生存 周期性 稳定性 

分 类 号：O175[理学—数学]