论文标题
带有Holling II功能响应并跳跃的随机密度依赖性捕食者捕集模型的长期动力学
Long-time dynamics of a stochastic density dependent predator-prey model with Holling II functional response and jumps
论文作者
论文摘要
全局积极解决方案的存在和唯一性被证明是描述非自主的随机密度依赖性捕食者捕食模型的系统系统的系统，其holling-type II功能响应受到白色噪声，中心和非中心的poisson noises的影响。获得了足够的条件，以实现随机的最终界限，随机持久性，在被认为是随机捕食者捕集模型中人口密度的平均值和灭绝中的均值持久性中的无症状。
The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic density dependent predator-prey model with Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises. Sufficient conditions are obtained for stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak persistence in the mean and extinction of a population densities in the considered stochastic predator-prey model.
