| 具有Ivlev型功能性反应函数的随机恒化器模型的阈值 |
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| 引用本文： | 龚驰,许超群,原三领.具有Ivlev型功能性反应函数的随机恒化器模型的阈值[J].上海理工大学学报,2017,39(1):1-6. |
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| 作者姓名： | 龚驰 许超群 原三领 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（11271260,11671260）；上海市一流学科建设资助项目（XTKX2012）；沪江基金资助项目（B14005） |
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| 摘 要： | 研究了一类具有Ivlev型功能性反应函数的随机单种群恒化器模型.证明了模型全局正解的存在唯一性和有界性,分析了模型的动力学行为,得到了微生物在恒化器中平均持续和绝灭的阈值条件.
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| 关 键 词： | 随机恒化器模型 Ivlev型功能性反应函数 平均持续 绝灭 |
| 收稿时间： | 2016/10/12 0:00:00 |
Threshold of a Stochastic Chemostat Model with the Ivlev Functional Response Function |
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| GONG Chi,XU Chaoqun and YUAN Sanling.Threshold of a Stochastic Chemostat Model with the Ivlev Functional Response Function[J].Journal of University of Shanghai For Science and Technology,2017,39(1):1-6. |
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| Authors: | GONG Chi XU Chaoqun and YUAN Sanling |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China,College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China and College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | A stochastic single-species chemostat model with the Ivlev functional response function was studied. The global existence, uniqueness and boundedness of its positive solution were proved. Then the dynamics of the model was analyzed. The threshold conditions of the persistence in mean and the extinction of microorganisms in the chemostat were obtained. |
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| Keywords: | stochastic chemostat model Ivlev functional response function persistence in mean extinction |
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