| 双营养Chemostat模型周期解的全局吸引性 |
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| 引用本文： | 邱志鹏,王稳地,邹云.双营养Chemostat模型周期解的全局吸引性[J].生物数学学报,2000,15(4):388-398. |
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| 作者姓名： | 邱志鹏 王稳地 邹云 |
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| 作者单位： | 1. 南京理工大学应用数学系,江苏南京,210094
2. 西南师范大学数学系,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目(19771067) |
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| 摘 要： | 研究含有时滞的双营养单种群Ｃｈｅｍｏｓｔａｔ模型周期解的全局吸引性，首先利用强正、凹算子理论给出了系统存在唯一正周期解的充分条件，然后利用泛函微分方程的单调理论得到了正周期解的全局吸引性。
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| 关 键 词： | 恒化器 周期解 全局吸引 双营养 Chemostat模型 |
| 文章编号： | 1001-9626(2000)04-0388-11 |
| 修稿时间： | 1999年1月1日 |
The Gobal Attractivity of Periodic Solution of a Two-Xutrient Chemostat Model |
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| QIU Zhi-peng.The Gobal Attractivity of Periodic Solution of a Two-Xutrient Chemostat Model[J].Journal of Biomathematics,2000,15(4):388-398. |
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| Authors: | QIU Zhi-peng |
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| Abstract: | The global attractivity of periodic solution of a two-nutrient chemostat model is considered. The model incorporates time delays due to lapse between the uptake of nutrient by cells and the incorporation of the biomass. By developing the theory of the concave operators to functional differential equations, the sufficient conditions for the unique periodic solution are established, then the global attractivity of this periodic solution is proved by using the monotone theory of functional differential equations. |
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| Keywords: | Chemostat Periodic solution Global attractivity Two-nutrient Delay |
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