Stationary distribution of stochastic NP ecological model under regime switching

Huazheng Wang; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi; Bashir Ahmad

doi:10.1016/j.physa.2019.124064

Stationary distribution of stochastic NP ecological model under regime switching

Huazheng Wang
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi
, Bashir Ahmad

China University of Petroleum (East China)
King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.

Original language	English
Article number	124064
Journal	Physica A: Statistical Mechanics and its Applications
Volume	549
DOIs	https://doi.org/10.1016/j.physa.2019.124064
State	Published - 1 Jul 2020
Externally published	Yes

Keywords

Itô formula
Markov switching
Nutrient–phytoplankton model
Stationary distribution
Stochastic Lyapunov function

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10.1016/j.physa.2019.124064

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title = "Stationary distribution of stochastic NP ecological model under regime switching",

abstract = "Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.",

keywords = "It{\^o} formula, Markov switching, Nutrient–phytoplankton model, Stationary distribution, Stochastic Lyapunov function",

author = "Huazheng Wang and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi and Bashir Ahmad",

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T1 - Stationary distribution of stochastic NP ecological model under regime switching

AU - Wang, Huazheng

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Ahmad, Bashir

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.

AB - Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.

KW - Itô formula

KW - Markov switching

KW - Nutrient–phytoplankton model

KW - Stationary distribution

KW - Stochastic Lyapunov function

UR - https://www.scopus.com/pages/publications/85077676243

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DO - 10.1016/j.physa.2019.124064

M3 - Article

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SN - 0378-4371

VL - 549

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 124064

ER -

Stationary distribution of stochastic NP ecological model under regime switching

Abstract

Keywords

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