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具有质体和抑制剂的非均匀恒化器模型的分歧 被引量：1

Bifurcation on the Plasmid-bearing and Plasmid-free Model in the Unstirred Chemostat with Inhibitor
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摘要 本文讨论了一类具有外加抑制剂的质体负载与质体自由物种竞争的非均匀恒化器模型共存解的存在性和稳定性。通过比较原理、分歧理论和线性稳定性理论,分析了由半平凡解发出的分歧解的全局结构和局部稳定性,解释了物种共存的现象。结果表明抑制剂有利于遗传选择的物种避免被质体自由的物种所消亡。 The existence and stability of coexistence solutions to a competition model between plasmid-bearing and plasmid-free organism in the unstirred chemostat with an external inhibitor are discussed.By the comparison principle,bifurcation theory and linear stability method,the global structure of the bifurcation solution from semitrivial solution and their local stability are analyzed, which explain the phenomenon of coexistence.The results indicate that the inhibitor can help the genetically altered（plasmid-bearing） organism to avoid ＇capture＇ of the process by the plasmid-free organism.
作者 谢文昊 聂华 吴建华
机构地区 西安石油大学理学院 陕西师范大学数学与信息科学学院
出处 《工程数学学报》 CSCD 北大核心 2010年第5期838-844,共7页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10971124) 陕西省自然科学基础研究计划(2009JQ1007)~~
关键词 恒化器 质体负载 质体自由 共存解 全局分歧 chemostat plasmid-bearing plasmid-free coexistence solutions global bifurcation
分类号 O175.26 [理学—基础数学]
作者简介 谢文昊（1978年10朋生），女，硕士，讲师．研究方向：偏微分方程数值解．
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参考文献8

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同被引文献17

  • 1Hsu S B, Waltman P. A survey of mathematical models of competition with an inhibitor [J]. Math Biosci, 2004, 187(1):53-91.
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  • 7Nie H, Wu J H. A system of reaction-diffusion equations in the unstrirred chemostat with an inhibitor [J]. Internat J Bifur chaos, 2006, 16(4):989-1009.
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工程数学学报
2010年 第5期

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