| 随机的改进Lotka-Volterra竞争模型 |
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| 引用本文： | 吕敬亮,王克. 随机的改进Lotka-Volterra竞争模型[J]. 数学学报, 2011, 0(5): 853-860 |
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| 作者姓名： | 吕敬亮 王克 |
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| 作者单位： | 哈尔滨工业大学(威海)数学系; |
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| 摘 要： | 本文提出且讨论了一类两种群随机的改进Lotka Volterra竞争模型.白噪声及有色噪声都在本文中被考虑.我们得到了全局唯一正解、随机有界性、随机持久和随机灭绝等种群动力性质的充分条件.
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| 关 键 词： | 布朗运动 切比雪夫不等式 随机有界 |
A Stochastic Modified Lotka-Volterra Competition Model |
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| Jing Liang L Ke WANG. A Stochastic Modified Lotka-Volterra Competition Model[J]. Acta Mathematica Sinica, 2011, 0(5): 853-860 |
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| Authors: | Jing Liang L Ke WANG |
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| Affiliation: | Jing Liang L Ke WANG Department of Mathematics.Harbin Institute of Technology(Weihai), Weihai 204209,P.R.China |
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| Abstract: | This paper discusses stochastic two-species modified Lotka Volterra competition model.Both white and color environmental noises will be taken into account.The sufficient conditions for some population dynamical properties including the existence of global positive solutions,stochastic ultimate boundedness,stochastic permanence, stochastic extinction will be obtained. |
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| Keywords: | Brownian motion chebyshev inequality stochastic boundedness |
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