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中文摘要：
本文考虑了一类带Beddington—DeAngelis功能反应和L6vy噪声的随机捕食一被捕食系统．利用构建Lyapunov函数和停时技巧给出了具有正初始值系统的正解的存在唯—性．得到了系统正解的矩的渐近有界性．利用带跳的指数鞅不等式得到了解增长速度的上界估计．最后，给出了物种灭绝的充分条件．
英文摘要：
In this paper, we discuss a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response and driven by Levy noise. By the construc- tion of Lyapunov functions and stopping time technique, we show that there is a unique positive solution to the system with a positive initial value. We show that the moments of the solution to the stochastic system is asymptotic bounded. Furthermore, by the expo- nential martingale inequality with jumps, the upper growth rate of the solution is obtained. Finally, some sufficient conditions of extinction are established.
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