| 中立型单种群模型周期正解存在性问题 |
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| 引用本文： | 鲁世平 葛渭高. 中立型单种群模型周期正解存在性问题[J]. 数学物理学报(A辑), 2004, 4(5): 632-640 |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | [1]安徽师范大学数学系芜湖241000 [2]北京理工大学数学系北京100081 |
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| 基金项目： | 国家自然科学基金 (1 9871 0 0 5 )，安徽省教育厅自然科学基金 (2 0 0 2 KJ1 3 3 )资助 |
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| 摘 要： | 利用抽象连续的k 集压缩原理研究一类中立型单种群模型[SX(]dN[]dt[SX)]=N(t)［a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(t)N′(t-τ(t))］周期正解的存在性问题,得到了周期正解存在性的若干结论,改进和推广了已有的工作
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| 关 键 词： | 周期正解 抽象连续定理 中立型泛函微分方程 k 集压缩算子 |
| 文章编号： | 1003-3998(2004)05-632-09 |
| 修稿时间： | 2002-04-08 |
The Problem of Existence of Positive Periodic Solutions to a Neutral Model of Singal-species Population Growth |
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| Lu Shiping +Ge Weigao. The Problem of Existence of Positive Periodic Solutions to a Neutral Model of Singal-species Population Growth[J]. Acta Mathematica Scientia, 2004, 4(5): 632-640 |
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| Authors: | Lu Shiping +Ge Weigao |
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| Affiliation: | Lu Shiping +2Ge Weigao |
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| Abstract: | In this paper, the authors employ an abstract continuous theorem of k set contractive operator and some analysis techniques to study the existenceof positive periodic solutions for a neutral functional differential equationas follows[SX(]dN[]dt[SX)]=N(t)［a(t)-β(t)N(t)-∑[DD(]n[]j=1[DD)]b-j(t) N(t-σ-i(t))-∑[DD(]m[]i=1[DD)]c-i(t)N′(t-τ-i(t))］.Some new results on the existence of positive periodic solutions are obtained. The results extend and generalize the corresponding work of known literature. |
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| Keywords: | Positive periodic solution Abstract continuous theorem Neutral functional differential equation k-set contractive operator. |
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