| 具有离散时滞的非自治扩散的N种群竞争模型 |
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| 引用本文： | 梁建秀,杨红雄. 具有离散时滞的非自治扩散的N种群竞争模型[J]. 天津理工大学学报, 2006, 22(2): 63-65 |
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| 作者姓名： | 梁建秀 杨红雄 |
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| 作者单位： | 1. 山西省晋中学院数学系,晋中,030600
2. 天津理工大学经济与管理学院,天津,300191 |
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| 摘 要： | 1模型与概念文献[1]给出了如下具有时滞的Lotka-Voltrra竞争模型x(t)=x(t)(r1-ax(t-τ)-by(t))y(t)=y(t)(r2-cx(t)-dy(t))本文将上述模型推广到非自治的N种群竞争扩散模型进行讨论.考虑如下形式的模型x·i(t)=xi(t)(ri(t)-aii(t)xi(t-τ)-∑nj=1,j≠iaij(t)xj(t))x·n(t)=xn(t)
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| 关 键 词： | 一致持续生存 时滞 扩散 正周期解 全局渐近稳定 |
| 文章编号： | 1673-095X（2006）02-0063-03 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005-10-10 |
A nonautonomous N-species competition diffusive model with discrete delays |
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| LIANG Jian-xiu,YANG Hong-xiong. A nonautonomous N-species competition diffusive model with discrete delays[J]. Journal of Tianjin University of Technology, 2006, 22(2): 63-65 |
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| Authors: | LIANG Jian-xiu YANG Hong-xiong |
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| Abstract: | In this paper, a nonautonomous N-species competition diffusive model with discrete is studied. It is shown that model is uniform persistence under some appropriate conditions and sufficient conditions are established the existence of a positive periodic solution which is globally asymptotically stable by differential inequality and lyapunov functional. |
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| Keywords: | uniform persistence delay diffusion positive periodic solution global asymptotically stable |
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