论文标题
具有跳跃的非自主随机捕食者捕食模型的长期行为
Long-time behavior of a non-autonomous stochastic predator-prey model with jumps
论文作者
论文摘要
它被证明了全局积极解决方案的存在和独特性，对随机微分方程系统描述了一个非自主随机捕食者捕食模型，其修改版本的Leslie-Gower和Holling-Gower和Holling-type II功能响应受到白噪声，白噪声的困扰，中心和非焦化Poisson Noises。我们获得了足够的随机最终界限，随机持久性，平均值中的不存在，平均值弱持续性以及溶液对所考虑系统的灭绝。
It is proved the existence and uniqueness of the global positive solution to the system of stochastic differential equations describing a non-autonomous stochastic predator-prey model with a modified version of Leslie-Gower and Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises. We obtain sufficient conditions of stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak persistence in the mean, and extinction of the solution to the considered system.
