Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises. (October 2022)

• Record Type: Journal Article
• Authors: Ma, Yuanlin; Yu, Xingwang
• Is Part Of: Applied mathematics letters. Volume 132(2022)
• Publication Date: 2022-10
• Subjects: Stochastic nutrient–phytoplankton model -- Stochastic averaging method -- Stochastic stability -- Stationary probability density; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108201
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, the stability and stationary probability density for a stochastic nutrient–phytoplankton model with multiplicative and additive noises are explored. We first transform the original system into an Itô diffusion system by using Khasminskii transformation and stochastic averaging method. After that, we employ singular boundary theory to analyze the stability of the system. We then derive the stationary probability density of the averaging amplitude equation by the corresponding Fokker–Planck–Kolmogorov equation. Finally, the theoretical results are verified by numerical simulations and the influence of noise on system dynamics is further illustrated.