一类非均匀恒化器竞争模型的全局分歧和渐近行为

王艳娥, 吴建华, 聂华

数学学报 ›› 2011, Vol. 54 ›› Issue (3) : 397-408.

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数学学报 ›› 2011, Vol. 54 ›› Issue (3) : 397-408. DOI: 10.12386/A2011sxxb0040
论文

一类非均匀恒化器竞争模型的全局分歧和渐近行为

    王艳娥, 吴建华, 聂华
作者信息 +

The Global Bifurcation and Asymptotic Behavior of a Competition Model in the Unstirred Chemostat

    Yan E WANG, Jian Hua WU, Hua NIE
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摘要

研究了一类带有B-D型功能反应函数的非均匀恒化器模型.首先,以物种v的生长率为分歧参数,利用全局分歧理论,得到了该系统的全局结构.其次,利用抛物型方程的比较原理,正则化理论及Lyapunov函数,研究了该模型解的渐近行为.  

Abstract

An unstirred chemostat model with B-D functional response is discussed. First, we treat the growth rate of v as the bifurcation parameter to obtain the global structure of this system by the theorem of global bifurcation. Second, by the means of comparison principle, regularity theorem and Lyapunov function, the asymptotic behavior of solutions of the system is considered.  

关键词

恒化器 / 全局分歧 / 渐近行为

Key words

chemostat / global bifurcation / asymptotic behavior

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王艳娥, 吴建华, 聂华. 一类非均匀恒化器竞争模型的全局分歧和渐近行为. 数学学报, 2011, 54(3): 397-408 https://doi.org/10.12386/A2011sxxb0040
Yan E WANG, Jian Hua WU, Hua NIE. The Global Bifurcation and Asymptotic Behavior of a Competition Model in the Unstirred Chemostat. Acta Mathematica Sinica, Chinese Series, 2011, 54(3): 397-408 https://doi.org/10.12386/A2011sxxb0040

参考文献

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基金

国家自然科学基金资助项目(10971124,11001160);教育部高等学校博士学科点专项科研基金资助项目(200807180004)

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