| 具有离散时滞的非自治扩散模型的周期解 |
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| 引用本文： | 梁建秀.具有离散时滞的非自治扩散模型的周期解[J].数学的实践与认识,2008,38(12):216-220. |
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| 作者姓名： | 梁建秀 |
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| 作者单位： | 山西省晋中学院,数学学院,山西,晋中,030600 |
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| 摘 要： | 考虑具有离散时滞及周期系数的非自治的两种群竞争扩散摸型,利用微分不等式等获得了其一致持续生存的条件,通过构造李亚普诺夫泛函获得了其正周期解存在与全局渐近稳定的充分条件.
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| 关 键 词： | 时滞 扩散 一致持续生存 正周期解 全局渐近稳定 |
| 修稿时间： | 2008年3月10日 |
Periodic Solution of a Nonautonomous Diffusive Model with Discrete Delays |
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| LIANG Jian-xiu.Periodic Solution of a Nonautonomous Diffusive Model with Discrete Delays[J].Mathematics in Practice and Theory,2008,38(12):216-220. |
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| Authors: | LIANG Jian-xiu |
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| Abstract: | A nonautonomous Two-species competition diffusive model with discrete delays is studied In this paper.It is shown that model is uniform persistence under some appropriate conditions,sufficient conditions are established the existence of a positive periodic solution which is global asymptotic stability by differential inequality and lyapunov functional. |
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| Keywords: | delay diffusion uniform persistence periodic solution global stable |
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