In this paper, we consider the stationary distribution of the facultative population model with a degenerate noise. The contributions of this paper lie in: (a) providing sufficient conditions which allow the noise intensity matrix to be degenerate, and, in particular, guarantee the existence and...

In this paper, we propose a flexible model for cyclic abundance data, that takes into account predator–prey interactions. The idea is to incorporate a predator–prey dynamical model into a non homogeneous Poisson process of periodic intensity rate. Further, we devise an easy to implement...