Respiration Effect on Plankton-Oxygen Dynamics in view of non-singular time fractional derivatives

被引：6

作者：

Sekerci, Yadigar ^{[1
]}

Ozarslan, Ramazan ^{[2
]}

机构：

[1] Amasya Univ, Arts & Sci Fac, Dept Math, TR-05189 Amasya, Turkey

[2] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 553卷

关键词：

Oxygen; Plankton; Photosynthesis; Caputo-Fabrizio; Atangana-Baleanu; Numerical simulations; SYSTEMS; MODELS;

D O I：

10.1016/j.physa.2019.123942

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we investigate a model of oxygen-phytoplankton-zooplankton dynamics with fractional-order derivatives in different types known as the Caputo-Fabrizio and Atangana-Baleanu derivatives, having nonsingular kernels, exponential and Mittag-Leffler. In order to detail the underlying structure of the oxygen-plankton interaction, the model is detailed in analytical and numerical techniques. Hypothetical set of parameters are used in numerical simulations to guarantee that in natural sense, the system in biologically meaningful region. All results obtained are compared with each other under different parameters, and different fractional orders with simulations. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 43 条

[1] On fractional derivatives with generalized Mittag-Leffler kernels [J].

Abdeljawad, Thabet ;

Baleanu, Dumitru .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[2]

[Anonymous], [No title captured]

[3]

[Anonymous], [No title captured]

[4] Novel algorithms to estimate nonlinear FDEs: Applied to fractional order nutrient-phytoplankton-zooplankton system [J].

Asl, Mohammad Shahbazi ;

Javidi, Mohammad .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 :193-207

[5] Modeling attractors of chaotic dynamical systems with fractal-fractional operators [J].

Atangana, Abdon ;

Qureshi, Sania .

CHAOS SOLITONS & FRACTALS, 2019, 123 :320-337

[6] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].

Atangana, Abdon ;

Baleanu, Dumitru .

THERMAL SCIENCE, 2016, 20 (02) :763-769

[7] Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel [J].

Atangana, Abdon ;

Jose Nieto, Juan .

ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (10) :1-7

[8] Fractional models with singular and non-singular kernels for energy efficient buildings [J].

Bas, Erdal ;

Acay, Bahar ;

Ozarslan, Ramazan .

CHAOS, 2019, 29 (02)

[9] Real world applications of fractional models by Atangana-Baleanu fractional derivative [J].

Bas, Erdal ;

Ozarslan, Ramazan .

CHAOS SOLITONS & FRACTALS, 2018, 116 :121-125

[10] Biospheric primary production during an ENSO transition [J].

Behrenfeld, MJ ;

Randerson, JT ;

McClain, CR ;

Feldman, GC ;

Los, SO ;

Tucker, CJ ;

Falkowski, PG ;

Field, CB ;

Frouin, R ;

Esaias, WE ;

Kolber, DD ;

Pollack, NH .

SCIENCE, 2001, 291 (5513) :2594-2597

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