Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 32, pp. 1-19.

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

Authors: Xiang Zhang (China Univ. of Geosciences, Beijing, China)
         Ming Kang (China Univ. of Geosciences, Beijing, China)
         Fengjie Geng (China Univ. of Geosciences, Beijing, China)
  
Abstract:
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.

Submitted September 7, 2024. Published April 02, 2025.
Math Subject Classifications: 34F05, 34E10, 34D20, 92B05.
Key Words: Predator-prey model; stage structure; nonlinear perturbation; global positive solution; stationary distribution.