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 e...

Generalized modeling. GM is based on the insight that, in general, the computation of steady states is much more difficult and computationally expensive than the investigation of the local dynamics around them. Once a steady state is given, its stability is determined by the corresponding Jacobian matrix, which can be analyzed at low computational cost. In the GM of food webs, computation of st...

A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. ...