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Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations

机译:具有时滞和脉冲摄动的一般随机非自治Lotka-Volterra模型的动力学

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摘要

A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of thestochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.
机译:研究了具有时滞和脉冲摄动的随机非自治N种群Lotka-Volterra模型。对于该模型,分别给出了足够的灭绝条件,均值非持久性,弱持久性和随机持久性。还讨论了随机噪声的影响以及脉冲扰动对随机模型性质的影响。获得了弱持久性和灭绝之间的临界值。最后,给出数值模拟以支持理论分析结果。

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