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.
出处
《生物数学学报》
CSCD
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
关键词
状态依赖时滞
单种群模型
周期正解
存在性
Single species model
Positive periodic solution
State dependent delay
