当前位置: 首页 > 文章 > 具有脉冲放养和收获效应的单种群时滞模型的周期解 河北农业大学学报 2005,28 (3) 98-101
Position: Home > Articles > Periodic solution of a delayed single species model with pulse stock and harvesting Journal of Agricultural University of Hebei 2005,28 (3) 98-101

具有脉冲放养和收获效应的单种群时滞模型的周期解

作  者:
裴永珍;谢景新;陈兰荪;李长国
单  位:
大连理工大学应用数学系;大连理工大学电信学院;军事交通学院基础部
关键词:
脉冲效应;正周期解;时滞;重合度
摘  要:
研究了具有脉冲效应的周期时滞Logistic方程:dydt=y(t)(a(t)-b(t)y(t-τ(t))),t≠tk,k∈NΔy(tk)=y(t+k)-y(tk)=dky(tk),t∈N利用重合度的方法,得到了该方程至少存在一个严格正周期解的充分条件。
译  名:
Periodic solution of a delayed single species model with pulse stock and harvesting
作  者:
PEI Yong-zhen~(1,2),XIE Jing-xin~(3,4),CHEN Lan-sun~1,LI Chang-guo~2 (1.School of Applied Mathematics, Dalian University of Technology, Dalian 116023, China; 2.Department of Basic Science of Institute of Military Traffic, Tianjin 300161, China; 3.School of Electronic Information, DaLian University of Technology, Dalian 116023, China; 4.School of Mechanical and Electronical Engineering, Agricultural University of Hebei, Baoding 071001, China)
关键词:
impulsive effect; positive periodic solution; delay; coincidence degree
摘  要:
This paper investigates the delayed periodic logistic equation with impulsive:dydt=y(t)(a(t)-b(t)y(t-τ(t))), t≠t_k,k∈N Δy(t_k)=y(t~+_k)-y(t_k)=d_ky(t_k), t∈N By using the method of coincidence degree, some sufficient conditions are obtained for the existence of at least one strictly positive periodic solution.

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