| 具有双参数扰动的Holling Ⅱ捕食-食饵模型分析 |
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| 引用本文： | 魏宁,李梅.具有双参数扰动的Holling Ⅱ捕食-食饵模型分析[J].井冈山大学学报（自然科学版）,2021,42(1):1-6. |
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| 作者姓名： | 魏宁 李梅 |
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| 作者单位： | 南京财经大学应用数学学院, 江苏, 南京 210023,南京财经大学应用数学学院, 江苏, 南京 210023 |
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| 基金项目： | 国家自然科学基金项目（11601225） |
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| 摘 要： | 针对一类具有双参数扰动的Holling Ⅱ随机捕食-食饵模型的一些动力学性质问题,利用随机微分方程的一些基本理论和不等式技巧,证明了该系统的正解的存在性和唯一性,随机最终有界性,一致H?lder连续性和随机持久性,并给出了该系统灭绝的充分性条件。最后,通过数值模拟直观表现种群在双参数扰动下的数量变化,并与理论结果一致。
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| 关 键 词： | 双参数扰动 捕食-食饵模型 随机最终有界 随机持久性 灭绝 |
| 收稿时间： | 2020/9/25 0:00:00 |
| 修稿时间： | 2020/11/3 0:00:00 |
ANALYSIS OF HOLLING II PREDATOR-PREY MODEL WITH TWO PARAMETERS PERTURBATION |
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| WEI Ning and LI Mei.ANALYSIS OF HOLLING II PREDATOR-PREY MODEL WITH TWO PARAMETERS PERTURBATION[J].Journal of Jinggangshan University(Natural Sciences Edition),2021,42(1):1-6. |
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| Authors: | WEI Ning and LI Mei |
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| Institution: | School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing, Jiangsu 210023, China and School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing, Jiangsu 210023, China |
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| Abstract: | In terms of some dynamics properties questions of Holling II stochastic predator-prey model with two parameters perturbation, through some theories of stochastic differential equations and inequalities, the existence and uniqueness of the positive solution, stochastically ultimate boundedness, uniformly Hölder-continuous and stochastic permanence of the system were proved. Moreover, the sufficient conditions for the system to be extinct were given. Finally, the quantitative change of the population under two parameters perturbation was showed, which was consistent with the theoretical results. |
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| Keywords: | two parameters perturbation predator-prey model stochastically ultimate boundedness stochastic permanence extinction |
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