DYNAMICS ON A HOLLING II PREDATOR-PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL  

作　　者：BING LIU YE TIAN BAOLIN KANG 

机构地区：[1]Department of Mathematics, Anshan Normal University Anshan 114007, Liaoning, P. R. China [2]Department of Mathematics, Liaoning Normal University Dalian 116029, Liaoning, P. R. China [3]Department of Applied Mathematics Dalian University of TechnologyDalian 116024, Liaoning, P. R. China

出　　处：《International Journal of Biomathematics》2012年第3期93-110,共18页生物数学学报（英文版）

摘　　要：to biological and chemical control strategy for pest control, a Holling II func- tional response predator-prey system concerning state-dependent impulsive control is investigated. We define the successor functions of semi-continuous dynamic system and give an existence theorem of order 1 periodic solution of such a system. By means of sequence convergence rules and quMitative analysis, we successfully get the conditions of existence and attractiveness of order 1 periodic solution. Our results show that our method used in this paper is more efficient and easier than the existing methods to prove the existence and attractiveness of order 1 periodic solution.

关 键 词：Holling II predator-prey system order 1 periodic solution successor function state-dependent impulsive control. 

分 类 号：Q141[生物学—生态学] O232[生物学—普通生物学]