| 时滞对数种群差分方程正周期解的存在性与应用 |
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| 引用本文： | 向占宏.时滞对数种群差分方程正周期解的存在性与应用[J].湖南文理学院学报(自然科学版),2005,17(2):14-16. |
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| 作者姓名： | 向占宏 |
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| 作者单位： | 湖南财经高等专科学校,湖南,长沙,410205 |
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| 摘 要： | 对数种群模型是生物数学中的一个基本模型,它的正周期解的存在性已被广泛地研究,绝大部分文献只考虑了生物系统的微分模型,而利用差分模型描述生态系统更符合实际.本文运用重合度理论,证明了一类时滞种群差分方程至少存在一个正周期解.
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| 关 键 词： | 时滞种群 差分方程 重合度 正周期解 |
| 文章编号： | 1672-6146(2005)02-0014-03 |
| 修稿时间： | 2005年3月15日 |
Existence and Application of Positive Periodic Solution of a Delay Population Difference Equations |
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| XIANG Zhan-hong.Existence and Application of Positive Periodic Solution of a Delay Population Difference Equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2005,17(2):14-16. |
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| Authors: | XIANG Zhan-hong |
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| Abstract: | Logarithm population model was a basic model of biological mathematics. The existence of its positive periodic degree has broadly been researched. However, most of literatures only consider differentiation model of biological system, then it was more practical to use difference model to describe biological system. The sufficient conditions for the existence of Positive periodic Solution of a delay population difference equations were obtained by means of coincidence degree theory. |
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| Keywords: | Delay Population model difference equation coincidence degree Positive periodic Solution |
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