具状态依赖时滞单种群模型周期正解的存在性(英文)  

Existence Of Positive Periodic Solution For A Single Species Model With State Dependent Delay

作　　者：范桂红[1] 欧阳自根[2] 

机构地区：[1]云南大学数学系,云南昆明650091 [2]南华大学数学系,湖南衡阳421001

出　　处：《生物数学学报》2002年第2期173-178,共6页Journal of Biomathematics

基　　金：This Work is Supported by the National Natural Sciences Foundation of People's Republic of China under Grant 10061004 and the Natural Sciences Foundation of Yunnan Province

摘　　要：用重合度论的连续性定理,本文获得如下具状态依赖时滞的单种群增长模型周期正解的存在性x(t)=x(t)[a(t)+b(t)xp(t-τ(t,x(t)))-c(t)xq(t-τ(t,x(t)))]这里a,b,c∈C((0,∞),R)是周期为ω(ω>0)的连续函数,且a>0,c>0.m,p,q为正整数且q>p.By using the continuous theorem of coincidence degree theory, we obtain the existence of positive periodic solution for the following single species population growth model with state dependent delayx(t) = x(t)[a(t) + b(t)xp(t - τ(t,x(t))) - c(t)xq(t - τ(t,X(t)))]where a, 6, c ∈ C((0,∞), R) are continuous periodic functions with period ω > 0 and a > 0, c > 0, m is a positive integer, p, q are positive integers with q > p.

关 键 词：状态依赖时滞 单种群模型 周期正解 存在性 

分 类 号：Q141[生物学—生态学]