| 摘要: |
| 研究了具有一般反应函数的随机恒化器模型,同时给出了一般反应函数所满足的条件.首先证明了模型全局正解的存在唯一性.其次给出了微生物灭绝的一些充分条件,并且进一步证明了在某些条件下, 微生物在恒化器中会持续存在. |
| 关键词: 随机恒化器模型 一般反应函数 灭绝 持久 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.003 |
| 分类号:O192 |
| 基金项目:上海市自然科学基金(19ZR1437100) |
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| Dynamical behaviors of stochastic chemostat model with general response functions |
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GUO Yi, JI Yue, DING Yu, LYU Xiang
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Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| In this paper, a stochastic chemostat model with general response functions is studied. Meanwhile, it first proves the existence and uniqueness of the globally positive solutions for the model. Secondly, this article gives some sufficient conditions for the extinction of microorganisms, and further proves that under certain conditions, microorganisms will continue to exist in the chemostat. |
| Key words: stochastic chemostat model general response functions extinction persistence |
