Dynamical analysis of a stochastic ratio-dependent predator-prey system with Levy jumps

摘要

This paper is concerned a stochastic ratio-dependent predator-prey system with Levyjumps. By the comparison theorem of stochastic equations with Levy jumps and generalized Ito's formula, we obtain the existence of a unique global positive solution and conditions for species to be persistent and extinct. Numerical simulations are carried out to support our results in the end.