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

Caifeng Fan, Zuoliang Xiong, Dandan Nie


This paper is concerned a stochastic ratio-dependent predator-prey system with L´evy jumps. By the comparison theorem of stochastic equations with L´evy jumps and generalized It^o0s 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.


Stochastic, ratio-dependent system, It^o0s formula, Levy jumps.

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