期刊论文

中文

生物数学学报

1001-9626

2002

17

2

173-178

10.3969/j.issn.1001-9626.2002.02.006

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；

本校为其他机构

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)x(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w(w＞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 delay x(t) = x(t)[a(t) + b(t)x~p (t - τ(t, x(t))) - c(t)x~q(t - τ(t, x(t)))] where a, b, c ∈ C ((0, ∞), R) are continuous periodic functions with period ω > 0 and a > 0, c >0, m is a positive...