| 双营养Chemostat模型的渐近性态 |
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| 引用本文： | 邱志鹏.双营养Chemostat模型的渐近性态[J].西南师范大学学报(自然科学版),1999,24(1):1-7. |
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| 作者姓名： | 邱志鹏 |
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| 作者单位： | 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 !(编号 :197710 67) |
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| 摘 要： | 研究了含有时滞的双营养chemostat模型的渐近性态.首先利用泛函微分方程的单调理论分析了单种群chemostat模型正平衡点的全局渐近稳定性.对于两种群chemostat模型,利用无限维动力系统的理论给出了该系统一致持续生存的充分条件.
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| 关 键 词： | 单调 一致持续生存 全局稳定 双营养 chemostat模型 |
The asymptotic behavior of a chemostat model with two nutrient |
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| Qiu Zhipeng.The asymptotic behavior of a chemostat model with two nutrient[J].Journal of Southwest China Normal University(Natural Science),1999,24(1):1-7. |
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| Authors: | Qiu Zhipeng |
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| Abstract: | The asymptotic behavior of the two nutrient chemostat model is considered,that incorporates time delays due to lapse between the uptake of nutrient by cells and the incorporation of the biomass.The global asymptotic stability of the positive equilibrium of the model with one population is considered by using the monotone theory of functional differential equations.The sufficient conditions for the uniform persistience of the model with two competing species are obtained by the theory of infinite dimensional dynamical systems. |
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| Keywords: | monotone uniform persistence global stability two nutrient chemostat model |
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