| 一类带时滞非自治比率依赖捕食的随机模型分析 |
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| 引用本文： | 李佳季,陈沙沙,廖新元.一类带时滞非自治比率依赖捕食的随机模型分析[J].南华大学学报(自然科学版),2020,34(2):74-81. |
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| 作者姓名： | 李佳季 陈沙沙 廖新元 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳421001;南华大学 数理学院,湖南 衡阳421001;南华大学 数理学院,湖南 衡阳421001 |
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| 基金项目： | 湖南省自然科学基金资助项目(2016JJ2104) |
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| 摘 要： | 建立了一类非自治时滞比率依赖的捕食随机模型,并分析研究系统的随机动力性。得到了系统正解的存在性条件,然后通过一些假设得到了系统持久性或灭绝性的充分条件,最后采用Milstein方法通过数值仿真证实所得结论的正确性。
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| 关 键 词： | 比率依赖捕食模型 灭绝 非持久性 弱持久性 |
| 收稿时间： | 2019/12/14 0:00:00 |
Stochastic Analysis of a Non-autonomous Ratio-dependent Predator-prey Model with Delay |
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| LI Jiaji,CHEN Shash,LIAO Xinyuan.Stochastic Analysis of a Non-autonomous Ratio-dependent Predator-prey Model with Delay[J].Journal of Nanhua University:Science and Technology,2020,34(2):74-81. |
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| Authors: | LI Jiaji CHEN Shash LIAO Xinyuan |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | Persistence and extinction of a stochastic non-autonomous ratio-dependent predator-prey model with delay is proposed and studied.The results show that there exists a unique positive solution to the system for any positive initial value.Moreover,sufficient conditions for extinction,non-persistence in the mean and weak persistence are established under some simple assumptions.Finally,numerical simulations are illustrated to confirm our main results by the Milstein method. |
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| Keywords: | equations stochastic ratio-dependent predator-prey model extinction non-persistence in the mean weak persistence |
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