Dynamic behavior of a stochastic predator-prey model with stage-structure and nonlinear perturbation

In this article, we propose and analyze stage-structured stochastic predator-prey model, where a nonlinear perturbation is considered. Firstly, we prove that the stochastic system has a unique global positive solution. And then we discuss the ergodic stationary distribution of the random system. In addition, we obtain sufficient conditions for the extinction of populations. Finally, numerical simulations verify our theoretical results and show that nonlinear perturbation has more practical significance than linear perturbation. For more information see https://ejde.math.txstate.edu/Volumes/2025/32/abstr.html