loading page

Dynamics of a stochastic phytoplankton-toxic phytoplankton-zooplankton system under regime switching
  • +5
  • He Liu,
  • Chuanjun Dai,
  • Hengguo Yu,
  • Qing Guo,
  • Jianbing Li,
  • Aimin Hao,
  • Jun Kikuchi,
  • Min Zhao
He Liu
Wenzhou University
Author Profile
Chuanjun Dai
Wenzhou University
Author Profile
Hengguo Yu
School of Mathematical and Electronic Information Engineering, Wenzhou University, Wenzhou, Zhejiang, 325035, CHINA
Author Profile
Qing Guo
Wenzhou University
Author Profile
Jianbing Li
University of Northern British Columbia
Author Profile
Aimin Hao
Wenzhou University
Author Profile
Jun Kikuchi
Environmental Metabolic Analysis Research Team, RIKEN Center for Sustainable Resource Science
Author Profile
Min Zhao
School of Life and Environmental Science
Author Profile

Abstract

In this paper, a stochastic phytoplankton-toxic phytoplankton-zooplankton system with Beddington-DeAngelis functional response, where both the white noise and regime switching are taken into account, is studied analytically and numerically. The aim of this research is to study the combined effects of the white noise, regime switching and toxin-producing phytoplankton (TPP) on the dynamics of the system. Firstly, the existence and uniqueness of global positive solution of the system is investigated. Then some sufficient conditions for the extinction, persistence in the mean and the existence of a unique ergidoc stationary distribution of the system are derived. Significantly, some numerical simulations are carried to verify our analytical results, and show that high intensity of white noise is harmful to the survival of plankton populations, but regime switching can balance the different survival states of plankton populations and decrease the risk of extinction. Additionally, it is found that an increase in the toxin liberation rate produced by TPP will increase the survival change of phytoplankton, while it will reduce the biomass of zooplankton. All these results may provide some insightful understanding on the dynamics of phytoplankton-zooplankton system in randomly disturbed aquatic environments.

Peer review status:UNDER REVIEW

04 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
05 Feb 2021Submission Checks Completed
05 Feb 2021Assigned to Editor
12 Feb 2021Reviewer(s) Assigned
21 Jun 2021Review(s) Completed, Editorial Evaluation Pending
22 Jun 2021Editorial Decision: Revise Major
11 Sep 20211st Revision Received
11 Sep 2021Submission Checks Completed
11 Sep 2021Assigned to Editor
12 Sep 2021Reviewer(s) Assigned
13 Oct 2021Review(s) Completed, Editorial Evaluation Pending