| 具有时滞的非自治扩散的两种群竞争模型的周期解 |
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| 引用本文： | 梁建秀. 具有时滞的非自治扩散的两种群竞争模型的周期解[J]. 晋中学院学报, 2009, 26(3): 30-32 |
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| 作者姓名： | 梁建秀 |
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| 作者单位： | 晋中学院,数学学院,山西,晋中,030600 |
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| 摘 要： | 研究竞争种群共存的问题是种群生态学的一个重要问题.考虑具有离散时滞的非自治的两种群竞争扩散模型,通过微分不等式及构造李亚普诺夫泛函获得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 正周期解 全局渐近稳定 |
Periodic Solution of a Non-autonomous Two-species Competition Diffusive Model with Discrete Delays |
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| LIANG Jian-xiu. Periodic Solution of a Non-autonomous Two-species Competition Diffusive Model with Discrete Delays[J]. Journal of Jinzhong University, 2009, 26(3): 30-32 |
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| Authors: | LIANG Jian-xiu |
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| Affiliation: | School of Mathematics;Jinzhong University;Jinzhong 030600;China |
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| Abstract: | In this paper,a non-autonomous two-species competition diffusive model with discrete delays is studied.Sufficient conditions are established: the existence of a positive periodic solution which is global asymptotic stability by differential inequality and Lyapunov function. |
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| Keywords: | delay diffusion positive periodic solution global asymptotic stable |
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