Stationary Probability Density Analysis for the Randomly Forced Phytoplankton–Zooplankton Model with Correlated Colored Noises

Autor:	Yuanlin Ma, Xingwang Yu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	stochastic phytoplankton–zooplankton model stationary probability density stochastic averaging method Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 14, p 2383 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10142383
Popis:	In this paper, we propose a stochastic phytoplankton–zooplankton model driven by correlated colored noises, which contains both anthropogenic and natural toxins. Using Khasminskii transformation and the stochastic averaging method, we first transform the original system into an Itô diffusion system. Afterwards, we derive the stationary probability density of the averaging amplitude equation by utilizing the corresponding Fokker–Planck–Kolmogorov equation. Then, the stability of the averaging amplitude is studied and the joint probability density of the original two-dimensional system is given. Finally, the theoretical results are verified by numerical simulations, and the effects of noise characteristics and toxins on system dynamics are further illustrated.
Databáze:	Directory of Open Access Journals
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