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中文摘要：
古典 Lotka-Volterra (LV ) 模型是为猎物食肉动物生态系统的一个著名数学模型。在现在的纸，随机的 LV 模型，随机的自然环境的效果作为泊松白噪音在被建模的脉搏类型版本，被使用随机的平均方法调查。平均概括了它？随机的微分方程和 Fokker-Planck-Kolmogorov (FPK ) 方程为泊松白噪音驾驶的猎物食肉动物生态系统被导出。平均概括 FPK 方程的近似静止答案被使用不安方法获得。猎物自我比赛参数的效果 < 啜 class= “ a-plus-plus ” > 生态系统行为上的 2 s 被评估。分析结果被相应蒙特卡罗(MC ) 模拟证实。
英文摘要：
The classical Lotka-Volterra （LV） model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural environment has been modeled as Poisson white noise, is in- vestigated by using the stochastic averaging method. The averaged generalized It6 stochastic differential equation and Fokkerlanck-Kolmogorov （FPK） equation are derived for prey-predator ecosystem driven by Poisson white noise. Approximate stationary solution for the averaged generalized FPK equation is obtained by using the perturbation method. The effect of prey self-competition parameter e2s on ecosystem behavior is evaluated. The analytical result is confirmed by corresponding Monte Carlo （MC） simulation.
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