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[1]陈妍,张树文.具有变消耗率和养分再生的脉冲恒化器模型[J].集美大学学报(自然科学版),2011,16(5):384-388.
　CHEN Yan,ZHANG Shu-wen.Complex Dynamics of a Chemostat with Variable Yield and Nutrient Recycling[J].Journal of Jimei University,2011,16(5):384-388.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:: 第16卷
期数:: 2011年第5期

页码:: 384-388

栏目:: 数理科学与信息工程

出版日期:: 2011-09-25

文章信息/Info

Title:: Complex Dynamics of a Chemostat with Variable Yield and Nutrient Recycling

作者:: 陈妍; 张树文; (集美大学理学院,福建厦门 361021)

Author(s):: CHEN Yan; ZHANG Shu-wen; (School of Science,Jimei University,Xiamen 361021,China)

关键词:: 恒化器系统; 脉冲输入; 持续生存; 周期解Complex Dynamics of a Chemostat with Variable Yield and Nutrient Recycling

Keywords:: chemostat; impulsive input; permanence; periodic solution

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DOI:: -

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摘要:: 讨论具有可变营养消耗率和养分再生且周期输入的恒化器模型.利用脉冲微分方程的Floquet理论和小扰动定理找到了周期解的全局渐近稳定性，进而得到系统持续生存的充分条件

Abstract:: The dynamic behaviors of a mathematical chemostat model with variable yield and nutrient recycling and periodically impulsive perturbation on substrate were considered.Using Floquet theory and small amplitude perturbation method,the condition in which the boundary periodic solution was globally asymptotically stable was established.Moreover,the permanence of the system was discussed in detail

参考文献/References:

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相似文献/References:

[1]傅晓钒,张树文.具有脉冲输入和营养再生的两种群恒化器模型[J].集美大学学报(自然科学版),2012,17(3):227.
　FU Xiao-fan,ZHANG Shu-wen.A Two-species Chemostat Model with Impulsive Input and Nutrient Recycling[J].Journal of Jimei University,2012,17(5):227.

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更新日期/Last Update: 2018-06-13