| 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 |
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| 引用本文： | 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[J].系统科学与数学,2012,32(1):111-120. |
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| 作者姓名： | 孙树林 张瑞娟 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,临汾,041004 |
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| 基金项目： | 国家自然科学基金，山西师范大学自然科学基金项目(ZR09008;ZR1003)资助课题 |
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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.
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| 关 键 词： | 恒化器模型 双资源 脉冲 时滞 持续生存 |
ANALYSIS OF A CLASS OF CHEMOSTAT MODEL WITH TIME DELAY AND PULSE INPUT FOR TWO-NUTRIENT AND TWO-MICRO ORGANISM |
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| SUN Shulin
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ZHANG Ruijuan.ANALYSIS OF A CLASS OF CHEMOSTAT MODEL WITH TIME DELAY AND PULSE INPUT FOR TWO-NUTRIENT AND TWO-MICRO ORGANISM[J].Journal of Systems Science and Mathematical Sciences,2012,32(1):111-120. |
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| Authors: | SUN Shulin ZHANG Ruijuan |
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| Institution: | (School of Mathematical and Computer Science,Shanxi Normal University,Linfen 041004) |
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| 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. |
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| Keywords: | Chemostat model two-nutrient pulse delay persistence |
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