具有时滞和脉冲输入的一类双资源和两种微生物恒化器模型的分析*

孙树林,张瑞娟

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (1) : 111-120.

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系统科学与数学 ›› 2012, Vol. 32 ›› Issue (1) : 111-120. DOI: 10.12341/jssms11779
论文

具有时滞和脉冲输入的一类双资源和两种微生物恒化器模型的分析*

    孙树林,张瑞娟
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ANALYSIS OF A CLASS OF CHEMOSTAT MODEL WITH TIME DELAY AND PULSE INPUT FOR TWO-NUTRIENT AND TWO-MICROORGANISM

    SUN Shulin ,ZHANG Ruijuan
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摘要

考虑一类双资源和两种微生物且具有时滞和脉冲输入的恒化器模型, 证明了微生物灭绝周期解的存在性, 并得到该周期解全局吸引性的临界条件和系统持久的充分条件, 最后利用数值模拟结果说明本文的主要结论. 

Abstract

A chemostat model with periodic pulse and time delay is discussed in this paper. The existence of the microorganism-free periodic solution is proved, which is globally attractive under some critical conditions. Moreover, the sufficient conditions on permanence of the system is obtained. Finally, some numerical simulations are given to illustrate the main results.

关键词

恒化器模型 / 双资源 / 脉冲 / 时滞 / 持续生存.

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孙树林,张瑞娟. 具有时滞和脉冲输入的一类双资源和两种微生物恒化器模型的分析*. 系统科学与数学, 2012, 32(1): 111-120. https://doi.org/10.12341/jssms11779
SUN Shulin ,ZHANG Ruijuan. ANALYSIS OF A CLASS OF CHEMOSTAT MODEL WITH TIME DELAY AND PULSE INPUT FOR TWO-NUTRIENT AND TWO-MICROORGANISM. Journal of Systems Science and Mathematical Sciences, 2012, 32(1): 111-120 https://doi.org/10.12341/jssms11779
中图分类号: 34D20    92D30   
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