Dynamics of a stochastic Holling II predator-prey model with Levy jumps and habitat complexity

摘要

This paper investigates a stochastic Holling II predator-prey model with Levy jumps and habit complexity. It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique, and the stochastic ultimate boundedness of this positive solution is also obtained. Sufficient conditions are established for the extinction and persistence of this solution. Moreover, some numerical simulations are carried out to support the obtained results.

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