| 一类带有脉冲输入的捕食者-食饵恒化器模型的动力学性质 |
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| 引用本文： | 向中义,郭红建,赵中. 一类带有脉冲输入的捕食者-食饵恒化器模型的动力学性质[J]. 信阳师范学院学报(自然科学版), 2006, 19(2): 132-134,190 |
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| 作者姓名： | 向中义 郭红建 赵中 |
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| 作者单位： | 1. 湖北民族学院,数学系,湖北,恩施,445000;信阳师范学院,河南,信阳,464000
2. 信阳师范学院,河南,信阳,464000 |
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| 基金项目： | supportedbytheNationalNaturalScienceFoundationofChina(No.10471117)，theHenanInnovationProjectforUniversityProminentResearchTalents(No.2005KYCX017)，theScientificResearchFoundationfortheReturnedOverseasChineseScholars,StateEducationMinistry |
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| 摘 要： | 给出了一类脉冲输入培养基的捕食者-食饵恒化器模型,获得了一个食饵(或捕食者)和培养基共存的正周期解,并且对这个周期解具有侵入阈值进行稳定性分析.当投放周期大于某个临界值时,这个周期解失去稳定性.
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| 关 键 词： | 恒化器模型 捕食者-食饵系统 脉冲效应 稳定周期解 稳定性 |
| 文章编号： | 1003-0972（2006）01-0132-03 |
| 收稿时间： | 2005-09-04 |
| 修稿时间： | 2005-09-04 |
The Dynamic Behaviors of a Predator-prey System Modelling for a Chemostat with Impulsive Input |
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| XIANG Zhong-yi,GUO Hong-jian,ZHAO Zhong. The Dynamic Behaviors of a Predator-prey System Modelling for a Chemostat with Impulsive Input[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2006, 19(2): 132-134,190 |
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| Authors: | XIANG Zhong-yi GUO Hong-jian ZHAO Zhong |
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| Affiliation: | 1. Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China; 2. Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | A simple model for a chemostat with predatorprey and periodically pulsed substrate is given in this paper,the exact periodic solutions with positive concentrations of substrate and prey(predator) is obtained,stability of this solution which yields an invasion threhold is analysed.When the period is more than the critical value,the periodic solution loses its stability. |
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| Keywords: | chemostat predator-prey system impulsive effect periodic solution stability |
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