| 避难所在年龄结构竞争模型中的稳定性作用 |
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| 引用本文： | 魏朝颖 陈斯养. 避难所在年龄结构竞争模型中的稳定性作用[J]. 西北大学学报(自然科学版), 2005, 35(2): 133-136 |
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| 作者姓名： | 魏朝颖 陈斯养 |
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| 作者单位： | [1]西安石油大学理学院，陕西西安710065 [2]陕西师范大学数学与信息科学学院，陕西西安710062 |
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| 基金项目： | 国家自然科学基金资助项目(10071048) |
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| 摘 要： | 目的 研究一类自食且具有避难所的年龄结构竞争模型的稳定性问题。方法 利用代数方法和特征值理论证明了平衡态的局部稳定性；应用比较原理，证明了平衡态的全局吸引性。结果 给出了该模型存在惟一正平衡态的充要条件及其全局渐近稳定和边界平衡点稳定的充分条件。结论 避难所对模型平衡态的个数和稳定性具有重要影响。
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| 关 键 词： | 稳定性 年龄结构 自食 避难所 |
| 文章编号： | 1000-274X(2005)02-0133-04 |
| 修稿时间： | 2003-07-04 |
The stability of a stage-structured two-species competitive system with refuges |
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| WEI Zhao-ying,CHEN Si-yang. The stability of a stage-structured two-species competitive system with refuges[J]. Journal of Northwest University(Natural Science Edition), 2005, 35(2): 133-136 |
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| Authors: | WEI Zhao-ying CHEN Si-yang |
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| Affiliation: | WEI Zhao-ying~1,CHEN Si-yang~2 |
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| Abstract: | Aim The stability of a stage-structured two-species competitive system with cannibalism and refuges was considered.Methods By using algebra methord and characteristic roots theory, the local stability of the non-negative equilibriums were proved, and by using comparison theorem, the global attraction of the equilibriums was obtained.Results The necessary and sufficient condition for the only positive equilibrium was obtained, the sufficient conditions for the globally asymptotical stability of the positive equilibrium and the bounary equilibrium were obtained.Conclusion It is shown that refuges have more effect on the equilibriums and the stability of this system. |
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| Keywords: | stability stage-structured cannibalism refuges |
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