The stationary distribution and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton under regime switching

Zhewen Chen, Zhuyan Tian, Shuwen Zhang and Chunjin Wei

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

Abstract: This paper addresses a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton under regime switching. The stochastic model in this paper includes white and colored noises. For the model, we first prove the existence of the global positive solution of the model. And then by using Khasminskii’s method and Lyapunov function, we derive sufficient conditions for the existence of a unique ergodic stationary distribution. Finally, numerical simulations are carried out to support our results.

Keywords: Toxin-producing phytoplankton; Phytoplankton-zooplankton; Regime switching; Positive recurrent; Environmental fluctuations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315523

DOI: 10.1016/j.physa.2019.122728

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