Stochastic stability and stationary probability density analysis for a nutrient-phytoplankton model with multiplicative and additive noises

被引：3
|
作者：
Ma, Yuanlin [1 ]
Yu, Xingwang [2 ]
机构：
[1] Zhengzhou Univ Aeronaut, Sch Econ, Zhengzhou 450046, Peoples R China
[2] Zhengzhou Univ Aeronaut, Sch Management Engn, Zhengzhou 450046, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 132卷
基金：
中国国家自然科学基金;
关键词：
Stochastic nutrient-phytoplankton model; Stochastic averaging method; Stochastic stability; Stationary probability density; ENVIRONMENTAL FLUCTUATIONS; PLANKTON BLOOM; EQUATIONS;
D O I：
10.1016/j.aml.2022.108201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Ito 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. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：7
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