| 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.[LI Jiaji,CHEN Shasha,LIAO Xinyuan.Stochastic Analysis of a Non-autonomous Ratio-dependent Predator-prey Model with Delay[J].Journal of University of South China(Science and Technology),2020,34(2):74~81.] |
| 一类带时滞非自治比率依赖捕食的随机模型分析 |
| Stochastic Analysis of a Non-autonomous Ratio-dependent Predator-prey Model with Delay |
| 投稿时间：2019-12-14 |
| DOI： |
| 中文关键词: 比率依赖捕食模型 灭绝 非持久性 弱持久性 |
| 英文关键词:equations stochastic ratio-dependent predator-prey model extinction non-persistence in the mean weak persistence |
| 基金项目:湖南省自然科学基金资助项目(2016JJ2104) |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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