loading page

Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments
  • Tiancai Liao
Tiancai Liao
China Jiliang University

Corresponding Author:[email protected]

Author Profile

Abstract

In this paper, we establish a new phytoplankton-zooplankton model by considering the effects of plankton body size and stochastic environmental fluctuations. Mathematical theory work mainly gives the existence of boundary and positive equilibria, and shows their local as well as global stability in the deterministic model. Additionally, we explore the dynamics of V-geometric ergodicity, stochastic ultimate boundedness, stochastic permanence, persistence in the mean, stochastic extinction and the existence of a unique ergodic stationary distribution in the corresponding stochastic version. Numerical simulation work mainly reveals that plankton body size can generate great influences on the interactions between phytoplankton and zooplankton, which in turn proves the effectiveness of mathematical theory analysis. It is worth emphasizing that for the small value of phytoplankton cell size, the increase of zooplankton body size can not change the phytoplankton density or zooplankton density; for the middle value of phytoplankton cell size, the increase of zooplankton body size can decrease zooplankton density or phytoplankton density; for the large value of phytoplankton body size, the increase of zooplankton body size can increase zooplankton density but decrease phytoplankton density. Besides, it should be noted that the increase of zooplankton body size can not affect the effect of random environmental disturbance, while the increase of phytoplankton cell size can weaken its effect. There results may enrich the dynamics of phytoplankton-zooplankton models.
18 Dec 2021Submitted to Mathematical Methods in the Applied Sciences
20 Dec 2021Submission Checks Completed
20 Dec 2021Assigned to Editor
24 Dec 2021Reviewer(s) Assigned
03 Apr 2022Review(s) Completed, Editorial Evaluation Pending
05 Apr 2022Editorial Decision: Revise Minor
12 Apr 20221st Revision Received
13 Apr 2022Submission Checks Completed
13 Apr 2022Assigned to Editor
13 Apr 2022Reviewer(s) Assigned
18 Jun 2022Review(s) Completed, Editorial Evaluation Pending
19 Jun 2022Editorial Decision: Revise Minor
19 Jun 20222nd Revision Received
20 Jun 2022Submission Checks Completed
20 Jun 2022Assigned to Editor
20 Jun 2022Reviewer(s) Assigned
01 Jul 2022Review(s) Completed, Editorial Evaluation Pending
01 Jul 2022Editorial Decision: Revise Major
02 Jul 20223rd Revision Received
04 Jul 2022Submission Checks Completed
04 Jul 2022Assigned to Editor
04 Jul 2022Reviewer(s) Assigned
07 Jul 2022Review(s) Completed, Editorial Evaluation Pending
18 Jul 2022Editorial Decision: Revise Major
24 Jul 20224th Revision Received
25 Jul 2022Submission Checks Completed
25 Jul 2022Assigned to Editor
25 Jul 2022Reviewer(s) Assigned
05 Aug 2022Review(s) Completed, Editorial Evaluation Pending
07 Aug 2022Editorial Decision: Accept
30 Jan 2023Published in Mathematical Methods in the Applied Sciences volume 46 issue 2 on pages 2569-2601. 10.1002/mma.8661