Stationary distribution of stochastic NP ecological model under regime switching

被引：11

作者：

Wang, Huazheng ^{[1
]}

Jiang, Daqing ^{[1
,2
,3
]}

Hayat, Tasawar ^{[3
,4
]}

Alsaedi, Ahmed ^{[3
]}

Ahmad, Bashir ^{[3
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] China Univ Petr East China, Key Lab Unconvent Oil & Gas Dev, Minist Educ, Qingdao 266580, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 549卷

关键词：

Nutrient-phytoplankton model; Ito formula; Stationary distribution; Stochastic Lyapunov function; Markov switching; ASYMPTOTIC PROPERTIES; EPIDEMIC MODEL; EXTINCTION; POPULATIONS; ERGODICITY;

D O I：

10.1016/j.physa.2019.124064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 17 条

[1] Recurring plankton bloom dynamics modeled via toxin-producing phytoplankton [J].

Chakraborty, Subhendu ;

Chatterjee, Samrat ;

Venturino, Ezio ;

Chattopadhyay, J. .

JOURNAL OF BIOLOGICAL PHYSICS, 2007, 33 (04) :271-290

[2] MODELING AND ANALYSIS OF SWITCHING DIFFUSION SYSTEMS: PAST-DEPENDENT SWITCHING WITH A COUNTABLE STATE SPACE [J].

Dang Hai Nguyen ;

Yin, George .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (05) :2450-2477

[3] Stationary distribution of a stochastic food chain chemostat model with general response functions [J].

Gao, Miaomiao ;

Jiang, Daqing .

APPLIED MATHEMATICS LETTERS, 2019, 91 :151-157

[4] EFFECTS OF TOXICANTS ON POPULATIONS - A QUALITATIVE APPROACH .3. ENVIRONMENTAL AND FOOD-CHAIN PATHWAYS [J].

HALLAM, TG ;

DELUNA, JT .

JOURNAL OF THEORETICAL BIOLOGY, 1984, 109 (03) :411-429

[5] Multigroup SIR epidemic model with stochastic perturbation [J].

Ji, Chunyan ;

Jiang, Daqing ;

Shi, Ningzhong .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (10) :1747-1762

[6] Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence [J].

Lahrouz, Aadil ;

Omani, Lahcen .

STATISTICS & PROBABILITY LETTERS, 2013, 83 (04) :960-968

[7] Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching [J].

Li, Xiaoyue ;

Gray, Alison ;

Jiang, Daqing ;

Mao, Xuerong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 376 (01) :11-28

[8] The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching [J].

Liu, Hong ;

Li, Xiaoxia ;

Yang, Qingshan .

SYSTEMS & CONTROL LETTERS, 2013, 62 (10) :805-810

[9] Asymptotic properties and simulations of a stochastic logistic model under regime switching II [J].

Liu, Meng ;

Wang, Ke .

MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) :405-418

[10] Periodic Solution and Stationary Distribution of Stochastic Predator-Prey Models with Higher-Order Perturbation [J].

Liu, Qun ;

Jiang, Daqing .

JOURNAL OF NONLINEAR SCIENCE, 2018, 28 (02) :423-442

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