具非连续收获策略的Gilpin-Ayala竞争系统周期解的存在性（英文）  

Existence of Positive Periodic Solutions of Delayed Gilpin-Ayala Competition Systems with Discontinuous Harvesting Policies

作　　者：张道祥[1,2] 丁伟伟[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000 [2]北京工业大学机电学院,北京100124

出　　处：《安徽师范大学学报（自然科学版）》2014年第6期515-519,529,共6页Journal of Anhui Normal University(Natural Science)

基　　金：Supported by the National Natural Science Foundation of China(11302002);The TianYuan Special Funds of the National Natural Science Foundation for Young Scientists of China(11126237);The Foundation of Outstanding Young Talent in University of Anhui Province(2011SQRL022AD)

摘　　要：考虑非连续收获策略对Gilpin-Ayala竞争系统动力学的影响,本文提出了下面带有非连续收获策略的n维时滞Gilpin-Ayala竞争系统.n dx∞i(t)=x)[bt,s)]-εdti(ti(t)-∑i(t)hi(xi(t))xi(t),i=1,2,…,n.j=∫xθij j(t-s)dsKij(10利用集值映射的锥拉伸压缩不动点定理,获得了这个竞争系统的正周期解存在的充分条件.Considering the impact of discontinuous harvesting policy（DHP）on dynamics of Gilpin-Ayala competition systems,the following n-species delayed Gilpin-Ayala competition system with DHP is proposed.dxi（t）/dt=xi（t）[bi（t）-^n ∑ j=1∫^∞0xθjij（t-s）dsKij（t,s）]εi（t）hi（xi（t））xi（t）,i=1,2,…,n. 10 By cone expansion and compression fixed point theorem of multi-valued maps,some sufficient conditions of the existence of positive periodic solutions for a delayed Gilpin-Ayala competition system with discontinuous harvesting policies are given.

关 键 词：正周期解 Gilpin-Ayala竞争系统 锥拉伸压缩不动点定理 收获策略 

分 类 号：O175.5[理学—数学]