| 具有抑制剂的恒化器竞争模型的分析（英文） |
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| 引用本文： | 罗建梅,刘学飞,原三领.具有抑制剂的恒化器竞争模型的分析（英文）[J].生物数学学报,2011(3):385-396. |
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| 作者姓名： | 罗建梅 刘学飞 原三领 |
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| 作者单位： | 重庆三峡学院数学与统计学院;上海理工大学田家炳理学院; |
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| 基金项目： | Supported by Youth Funded Projects of Chongqing Three Gorges University(2008-sxxyqn-23) |
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| 摘 要： | 考虑了具有抑制剂的两种群竞争一种微生物的恒化器模型,其中吸收函数和功能反应函数都是营养的一般单调递增函数,并且一种微生物能够分泌一种对另一种微生物起致命影响的抑制剂.利用常微分方程定性理论,首先得到了平衡点的存在条件和局部渐进稳定性;然后讨论了全局渐进稳定性,以及极限环和Hopf分支的存在性.
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| 关 键 词： | 恒化器 稳定性 Hopf分支 极限环 |
Analysis of a Competition Chemostat Model with an Internal Inhibitor |
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| LUO Jian-mei LIU Xue-fei YUAN San-ling.Analysis of a Competition Chemostat Model with an Internal Inhibitor[J].Journal of Biomathematics,2011(3):385-396. |
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| Authors: | LUO Jian-mei LIU Xue-fei YUAN San-ling |
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| Institution: | LUO Jian-mei~1 LIU Xue-fei~1 YUAN San-ling~2 (1 College of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou Chongqing 404000 China) (2 College of Science,Shanghai University for Science and Technology,Shanghai 200093 China) |
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| Abstract: | This paper considered two organisms competing for a nutrient in the chemostat in the presence of an inhibitor,where the yields and growth rates are general increasing function of the nutrient concentration.The inhibitor is produced by one organisms and is lethal to the other organism.By the theory of qualitative analysis for ordinary equations,first,conditions of the existence and local stability of the rest points are obtain;then the global asymptotical stability,the existence of limit cycles and Hopf bifu... |
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| Keywords: | Chemostat Stability Hopf bifurcation Limit cycles |
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