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Dynamics of a stochastic phytoplankton-toxic phytoplankton-zooplankton system under regime switching
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  • He Liu,
  • Chuanjun Dai,
  • Hengguo Yu,
  • Qing Guo,
  • Jianbing Li,
  • Aimin Hao,
  • Jun Kikuchi,
  • Min Zhao
He Liu
Wenzhou University

Corresponding Author:[email protected]

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Chuanjun Dai
Wenzhou University
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Hengguo Yu
School of Mathematical and Electronic Information Engineering, Wenzhou University, Wenzhou, Zhejiang, 325035, CHINA
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Qing Guo
Wenzhou University
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Jianbing Li
University of Northern British Columbia
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Aimin Hao
Wenzhou University
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Jun Kikuchi
Environmental Metabolic Analysis Research Team, RIKEN Center for Sustainable Resource Science
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Min Zhao
School of Life and Environmental Science
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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.
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 2021Assigned to Editor
11 Sep 2021Submission Checks Completed
12 Sep 2021Reviewer(s) Assigned
13 Oct 2021Review(s) Completed, Editorial Evaluation Pending
03 Jan 2022Editorial Decision: Revise Major
29 Mar 20222nd Revision Received
30 Mar 2022Submission Checks Completed
30 Mar 2022Assigned to Editor
30 Mar 2022Reviewer(s) Assigned
18 Apr 2022Review(s) Completed, Editorial Evaluation Pending
19 Apr 2022Editorial Decision: Accept
15 Nov 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 16 on pages 9769-9786. 10.1002/mma.8334