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| 具有离散时滞的两种群模型的稳定性 | |
| 引用本文： | 武秀丽. 具有离散时滞的两种群模型的稳定性[J]. 科学技术与工程, 2005, 5(24): 1941-19421945 |
| 作者姓名： | 武秀丽 |
| 作者单位： | 广东商学院数学与计算科学系,广州,510320 |
| 摘 要： | 讨论了具有离散时滞的两种群模型的稳定性,利用Rouche′s定理,得到了分支周期解存在及其稳定的充分条件。利用代数理论,得出了系统正平衡点条件稳定的充分条件,并把时滞作为分支参数,给出了分支点出现的条件,分析了分支周期解的稳定性。 |
| 关 键 词： | 离散时滞 稳定性 代数理论 |
| 文章编号： | 1671-1815(2005)24-1941-02 |
| 收稿时间： | 2005-09-07 |
| 修稿时间： | 2005-09-07 |
Stability of Two-species Model with Two-discrete Delays |
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| WU Xiuli. Stability of Two-species Model with Two-discrete Delays[J]. Science Technology and Engineering, 2005, 5(24): 1941-19421945 | |
| Authors: | WU Xiuli |
| Affiliation: | Department of Mathematics, Guangdong Commercial College, Guangzhou 510320 |
| Abstract: | A differential equation with two discrete delays is discussed. Sufficient conditions for stability of positive equilibrium are obtained by using algebra theory and delay is regard as parameter to get the sufficient conditions when bifurcated periodic solution apears. At the same time, its stability is also analysised. |
| Keywords: | discrete delays stability algebra theory |
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