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.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] BIFURCATION AND STABILITY ANALYSIS FOR A NUTRIENT-PHYTOPLANKTON MODEL WITH TOXIC EFFECTS
    Ji, Juping
    Wang, Lin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 3073 - 3081
  • [2] Stability and bifurcation analysis of a nutrient-phytoplankton model with time delay
    Guo, Qing
    Dai, Chuanjun
    Yu, Hengguo
    Liu, He
    Sun, Xiuxiu
    Li, Jianbing
    Zhao, Min
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3018 - 3039
  • [3] Stability and resilience in a nutrient-phytoplankton marine ecosystem model
    Kovac, Zarko
    Platt, Trevor
    Sathyendranath, Shubha
    ICES JOURNAL OF MARINE SCIENCE, 2020, 77 (04) : 1556 - 1572
  • [4] Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect
    Pan, Xinhong
    Zhao, Min
    Dai, Chuanjun
    Wang, Yapei
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [5] A stochastic nutrient-phytoplankton model with viral infection and Markov switching
    Chen, Zhewen
    Zhang, Ruimin
    Li, Jiang
    Zhang, Shuwen
    Wei, Chunjin
    Wei, Chunjin (chunjinwei92@163.com), 1600, Elsevier Ltd (140):
  • [6] A stochastic nutrient-phytoplankton model with viral infection and Markov switching
    Chen, Zhewen
    Zhang, Ruimin
    Li, Jiang
    Zhang, Shuwen
    Wei, Chunjin
    CHAOS SOLITONS & FRACTALS, 2020, 140
  • [7] Stationary Probability Density Analysis for the Randomly Forced Phytoplankton-Zooplankton Model with Correlated Colored Noises
    Ma, Yuanlin
    Yu, Xingwang
    MATHEMATICS, 2022, 10 (14)
  • [8] Analysis of a Nutrient-phytoplankton Model in the Presence of Viral Infection
    Jian-jun LI
    Wen-jie GAO
    Acta Mathematicae Applicatae Sinica, 2016, 32 (01) : 113 - 128
  • [9] Analysis of a Nutrient-phytoplankton Model in the Presence of Viral Infection
    Li, Jian-jun
    Gao, Wen-jie
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (01): : 113 - 128
  • [10] Analysis of a nutrient-phytoplankton model in the presence of viral infection
    Jian-jun Li
    Wen-jie Gao
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 113 - 128
12345