| 在容量较小的污染环境中二维捕食系统的持续生存与绝灭 |
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| 引用本文： | 阎慧臻,马知恩,刘燕. 在容量较小的污染环境中二维捕食系统的持续生存与绝灭[J]. 数学的实践与认识, 2011, 41(9) |
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| 作者姓名： | 阎慧臻 马知恩 刘燕 |
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| 作者单位： | 1. 大连工业大学信息科学与工程学院,辽宁大连,116034
2. 西安交通大学理学院,陕西西安,710049 |
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| 基金项目： | 辽宁省教育厅科技研究项目 |
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| 摘 要： | 利用极限理论及积分均值法研究了在容量较小的污染环境中毒素对二维Lotka-Volterra捕食被捕食系统持续生存与绝灭的影响,给出了捕食种群与食饵种群弱平均持续生存和绝灭的充分条件.
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| 关 键 词： | 捕食被捕食系统 小容量污染环境 弱平均持续生存 绝灭 |
Persistence and Extonction of a Two-Dimensional Predator Model in a Small Capacity and Polluted Environment |
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| YAN Hui-zhen,MA Zhi-en,LIU Yan. Persistence and Extonction of a Two-Dimensional Predator Model in a Small Capacity and Polluted Environment[J]. Mathematics in Practice and Theory, 2011, 41(9) |
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| Authors: | YAN Hui-zhen MA Zhi-en LIU Yan |
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| Abstract: | Using the limit theory and the methods of integral in the mean,this paper studied persistence or extinction of a two-dimensional Lotka-Volterra predator-prey model in a small capacity and polluted environment.Some sufficient conditions on weak persistence in the mean or extinction of populations are obtained. |
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| Keywords: | predator-prey system small capacity and polluted environment weak persistence in the mean extinction |
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