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Global dynamics in a stochastic two predators-one prey system with regime-switching and ratio-dependent functional response
  • Nafeisha Tuerxun,
  • Zhidong Teng
Nafeisha Tuerxun
Jimei University
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Zhidong Teng
Xinjiang Medical University

Corresponding Author:[email protected]

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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