Stochastic Kolmogorov-Type Population Dynamics with Infinite Distributed Delays
Stochastic Kolmogorov-Type Population Dynamics with Infinite Distributed Delays
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DOI：
10.1007/s10440-009-9517-2
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发表时间：
2010-06
影响因子：
1.6
通讯作者：
Yangzi Hu;Fuke Wu
中科院分区：
文献类型：
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作者：
Yangzi Hu;Fuke Wu
研究表明，不同的环境噪声结构对种群系统有不同的影响。在两类环境噪声扰动下，建立了具有无限分布时滞的随机kolmogorov型系统全局正解的存在唯一性定理。作为种群动力学的期望结果，本文还研究了渐近有界性，包括矩有界性和矩平均有界性。为了更清楚地说明我们的思想，我们还讨论了一个具有混合延迟的标量例子和具有混合延迟的一维随机Lotka-Volterra系统。
This paper shows that different environmental noise structures have different effects on population systems. Under two classes of environmental noise perturbations, this paper establishes existence-and-uniqueness theorems of the global positive solution to the stochastic Kolmogorov-type system with infinite distributed delays. As the desired results to population dynamics, this paper also examines asymptotic boundedness, including the moment boundedness and the moment average boundedness in time. To illustrate our idea more clearly, we also discuss a scalar example with mixed delays and an-dimensional stochastic Lotka-Volterra system with mixed delays.