Global dynamics in a stochastic two predators-one prey system with
regime-switching and ratio-dependent functional response
- Nafeisha Tuerxun,
- Zhidong Teng
Abstract
This paper investigates a stochastic two predators-one prey system with
ratio-dependent functional response under regime switching. The
stochastic extinction of species and the existence of ergodic stationary
distribution for the system are established, and the transition
probability of the solution converging to the stationary distribution
also is obtained. To illustrate our theoretical results, the numerical
examples and simulations are presented. Our findings also demonstrate
that the stationary distribution and extinction of species for the
stochastic two predators-one prey system are affected by random
perturbations, leading to an imbalance in ecology.08 Apr 2024Submitted to Mathematical Methods in the Applied Sciences 09 Apr 2024Submission Checks Completed
09 Apr 2024Assigned to Editor
17 Apr 2024Review(s) Completed, Editorial Evaluation Pending
04 Aug 2024Editorial Decision: Revise Minor
17 Aug 20241st Revision Received
19 Aug 2024Submission Checks Completed
19 Aug 2024Assigned to Editor
19 Aug 2024Review(s) Completed, Editorial Evaluation Pending
21 Aug 2024Reviewer(s) Assigned
16 Oct 2024Editorial Decision: Accept