Asymptotic behavior of a stochastic non-autonomous predator–prey model with impulsive perturbations

• In the model, the effects of random and impulsive perturbations are taken into account.
• The effects of impulsion on asymptotic properties are discussed in detail.
• Numerical simulations are given to illustrate the effects of impulsion.

This paper is concerned with a stochastic non-autonomous Lotka–Volterra predator–prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results.