| 具状态依赖时滞单种群模型周期正解的存在性 |
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| 引用本文： | 范桂红,欧阳自根.具状态依赖时滞单种群模型周期正解的存在性[J].生物数学学报,2002,17(2):173-178. |
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| 作者姓名： | 范桂红 欧阳自根 |
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| 作者单位： | 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 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | 状态依赖时滞 单种群模型 周期正解 存在性 |
Existence Of Positive Periodic Solution For A Single Species Model With State Dependent Delay |
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| FAN Guihong,Ouyang Zigen.Existence Of Positive Periodic Solution For A Single Species Model With State Dependent Delay[J].Journal of Biomathematics,2002,17(2):173-178. |
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| Authors: | FAN Guihong Ouyang Zigen |
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| Abstract: | By using the continuous theorem of coincidence degree theory, weobtain the existence of positive periodic solution for the following single species pop-ulation 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, b, c ∈ C((0, o), R) are continuous periodic functions with period w ＞ 0 anda ＞ 0, c ＞ 0, m is a positive integer, p, q are positive integers with q ＞ p. |
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| Keywords: | Single species model Positive periodic solution State dependent delay |
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