A stochastic predator-prey model that depends on the population density of the predator

The system of stochastic differential equations describing a nonautonomous density-dependent predator-prey model with Holling-type II functional response disturbed by white noise, centered and non-centered Poisson noises is considered. So, in this we take into account levels predator density dependence jumps, corresponding to the measures. existence uniqueness theorem for positive, global (no explosions finite time) solution considered proved. We obtain sufficient conditions ultimate boundedness permanence model.