| 具有随机扰动的两种群Lotka-Volterra互惠系统的正解 |
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| 作者单位： | 空军航空大学基础部 吉林长春130022 |
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| 摘 要： | 本文旨在研究一类两种群Lotka-Volterra互惠系统受白噪声扰动问题利用构造Lyapunov函数的方法,证明该类系统解的全局存在性.在适当条件下,给出了解持久性.
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| 关 键 词： | 布朗运动 伊藤公式 Lotka-Volterra互惠系统 存在唯一性 持久性 |
The Positive Solution of One Class Two-species Lotka-volterra Mutually System with Random Perturbation |
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| LI Hai-hong. The Positive Solution of One Class Two-species Lotka-volterra Mutually System with Random Perturbation[J]. Journal of Changchun Teachers College, 2008, 0(6) |
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| Authors: | LI Hai-hong |
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| Abstract: | This paper discussed the perturbed problem of one class two-species Lotka-Volterra mutually system by white noise,proved the global existence of the system's solution using the method of constructing Lyapunov Function.Under suitable condition,it gave the persistence of solution. |
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| Keywords: | Brownian motion Into-formula Lotka-volterra mutually system existence and uniqueness persistence |
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