| 带脉冲输入两种营养液和一种微生物横化器模型性质的研究 |
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| 引用本文： | 赵中,陶会强.带脉冲输入两种营养液和一种微生物横化器模型性质的研究[J].河南科学,2011,29(4):379-382. |
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| 作者姓名： | 赵中 陶会强 |
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| 作者单位： | 黄淮学院数学科学系,河南,驻马店,463000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10971001);Henan Science and Technology Department(082102140025 and 092300410228) |
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| 摘 要： | 研究了一类带周期脉冲输入的恒化器模型.利用Floquet乘子理论,我们得到了如果R1＜1,那么微生物灭绝周期解是全局渐近稳定的.同时得到当R2＞1时,系统是持续生存的.通过分析得到脉冲效应破坏连续系统的平衡点产生了周期解.这些结论能够用于微生物的培养.
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| 关 键 词： | 恒化器模型 周期解 稳定性 持续 |
Dynamical Analysis of Two-Nutrient and One-Microorganism Chemostat Model with Pulsed Input |
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| Zhao Zhong,Tao Huiqiang.Dynamical Analysis of Two-Nutrient and One-Microorganism Chemostat Model with Pulsed Input[J].Henan Science,2011,29(4):379-382. |
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| Authors: | Zhao Zhong Tao Huiqiang |
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| Institution: | (Department of Mathematics,Huanghuai University,Zhumadian 463000,Henan China) |
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| Abstract: | In this paper, a chemostat model with periodically pulsed input is considered. By using the Floquet theorem, it is shown that the microorganism eradication periodic solution (u*1(t);v*1(t), 0) is globally asymptotically stable if R1＜1. At the same time,it is shown that the nutrients and microorganism axe permanent if R2＞1. This results can be applied to culture the microorganisms. |
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| Keywords: | chemostatmodel periodic solution stability permanence |
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