Fractional model of COVID-19 applied to Galicia, Spain and Portugal

被引：67

作者：

Ndairou, Faical ^{[1
,2
]}

Area, Ivan ^{[2
]}

Nieto, Juan J. ^{[3
]}

Silva, Cristiana J. ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[2] Univ Vigo, Dept Matemat Aplicada 2, EE Aeronaut & Espazo, Campus Ourense, Orense 32004, Spain

[3] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, Spain

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 144卷

关键词：

Mathematical modelling of COVID-19; pandemic; Galicia; Spain and Portugal case studies; Fractional differential equations; Numerical simulations;

D O I：

10.1016/j.chaos.2021.110652

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fractional compartmental mathematical model for the spread of the COVID-19 disease is proposed. Special focus has been done on the transmissibility of super-spreaders individuals. Numerical simulations are shown for data of Galicia, Spain, and Portugal. For each region, the order of the Caputo derivative takes a different value, that is not close to one, showing the relevance of considering fractional models. ? 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

共 28 条

[1] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations [J].

Agarwal, Ravi P. ;

Baleanu, Dumitru ;

Nieto, Juan J. ;

Torres, Delfim F. M. ;

Zhou, Yong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 :3-29

[2]

Akman Yildiz T, 2019, FRONT PHYS-LAUSANNE, V7, DOI 10.3389/fphy.2019.00095

[3] Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits [J].

Alshabanat, Amal ;

Jleli, Mohamed ;

Kumar, Sunil ;

Samet, Bessem .

FRONTIERS IN PHYSICS, 2020, 8

[4]

[Anonymous], AKAD NAUK SSSR PRIKL

[5]

[Anonymous], 2021, CHAOS SOLITONS FRACT, V144

[6] Determination in Galicia of the required beds at Intensive Care Units [J].

Area, Ivan ;

Hervada Vidal, Xurxo ;

Nieto, Juan J. ;

Purrinos Hermida, Maria Jesus .

ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) :559-564

[7] LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].

CAPUTO, M .

GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&

[8]

Freed A.D, 2002, FRACPECE SUBROUTINE

[9] Spread and dynamics of the COVID-19 epidemic in Italy: Effects of emergency containment measures [J].

Gatto, Marino ;

Bertuzzo, Enrico ;

Mari, Lorenzo ;

Miccoli, Stefano ;

Carraro, Luca ;

Casagrandi, Renato ;

Rinaldo, Andrea .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2020, 117 (19) :10484-10491

[10]

Ge F., 2018, REGIONAL ANAL TIME F

← 1 2 3 →