| 一类带有随机扰动的捕食-食饵模型正解的存在唯一性(英文) |
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| 引用本文： | 许温琴,张建勋. 一类带有随机扰动的捕食-食饵模型正解的存在唯一性(英文)[J]. 宁波大学学报(理工版), 2012, 0(2): 68-71 |
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| 作者姓名： | 许温琴 张建勋 |
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| 作者单位： | 宁波大学理学院 |
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| 摘 要： | 主要讨论了一类带有随机扰动和改进了的功能性反应函数II的捕食-食饵模型,通过构造Lyapunov函数和使用比较定理两种不同的方法证明了其正解的存在唯一性.
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| 关 键 词： | 伊藤公式 布朗运动 存在唯一性 |
Existence and Uniqueness of the Positive Solution to a Predator-prey Model with Stochastic Perturbation |
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| XU Wen-qin,ZHANG Jian-xun. Existence and Uniqueness of the Positive Solution to a Predator-prey Model with Stochastic Perturbation[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2012, 0(2): 68-71 |
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| Authors: | XU Wen-qin ZHANG Jian-xun |
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| Affiliation: | (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | In this paper,a predator-prey model is established with the modified Holling-type II schemes with stochastic perturbation.We mainly use Lyapunov function and comparison theorem to show that there is a unique positive solution to the system with positive initial value. |
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| Keywords: | It s formula Brownian motion existence and uniqueness |
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