| 在随机扰动下的具有Holling-（n＋1）型功能反应函数的捕食模型解的研究 |
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| 引用本文： | 赵雷.在随机扰动下的具有Holling-（n＋1）型功能反应函数的捕食模型解的研究[J].南京工业职业技术学院学报,2009,9(4):16-18. |
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| 作者姓名： | 赵雷 |
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| 作者单位： | 南京航空航天大学理学院,江苏,南京,210016 |
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| 摘 要： | 讨论了一类具有Holling-（n＋1）型功能反应函数的捕食模型受到环境噪音的干扰的问题，借助构造Lya—punov函数的方法，证明了该类系统正解不会在有限时间内爆破以及它的全局存在性。
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| 关 键 词： | 布朗运动 伊藤公式 Holling-（n＋1）型捕食模型 存在唯一性 |
Researching on Positive Solution of a Predator-prey System with Holling-(n+1) Functional Response with Random Perturbation |
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| ZHAO Lei.Researching on Positive Solution of a Predator-prey System with Holling-(n+1) Functional Response with Random Perturbation[J].Journal of Nanjing Institute of Industry Technology,2009,9(4):16-18. |
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| Authors: | ZHAO Lei |
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| Affiliation: | ZHAO Lei ( Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China) |
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| Abstract: | In this paper we discuss a randomized predator-prey system with Holling- （n＋ 1 ） functional response. With the Lyapunov function method, we show that the positive solution of this system does not explode to infinity in a finite time. In addition, the existence and uniqueness of the global positive solutions are studied. |
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| Keywords: | Brownian motion Ito＇s formula randomized predator-prey system with Holling- （n＋ 1 ） functional response existence and uniqueness |
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