Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

被引:29
作者
Ullah, Mohammad Sharif [1 ,2 ]
Higazy, M. [3 ,4 ]
Kabir, K. M. Ariful [2 ]
机构
[1] Feni Univ, Dept Math, Feni, Bangladesh
[2] Bangladesh Univ Engn & Technol, Dept Math, Dhaka, Bangladesh
[3] Taif Univ, Coll Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia
[4] Menoufia Univ, Fac Elect Engn, Dept Phys & Engn Math, Menoufia 32952, Egypt
关键词
COVID-19; Control measures; Infectious diseases; Caputo fractional-order derivative; INFORMATION; CAPUTO;
D O I
10.1016/j.chaos.2021.111636
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Novel coronavirus named SARS-CoV-2 is one of the global threads and uncertain challenges worldwide faced at present. It has stroke rapidly around the globe due to viral transmissibility, new variants (strains), and human unconsciousness. Lack of adequate and reliable vaccination and proper treatment, control measures such as self-protection, physical distancing, lockdown, quarantine, and isolation policy plays an essential role in controlling and reducing the pandemic. Decisions on enforcing various control measures should be determined based on a theoretical framework and real-data evidence. We deliberate a general mathematical control measures epidemic model consisting of lockdown, self-protection, physical distancing, quarantine, and isolation compartments. Then, we investigate the proposed model through Caputo fractional order derivative. Fixed point theory has been used to analyze the Caputo fractional-order derivative model's existence and uniqueness solutions, whereas the Adams-Bashforth-Moulton numerical scheme was applied for numerical simulation. Driven by extensive theoretical analysis and numerical simulation, this work further illuminates the substantial impact of various control measures. (c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:21
相关论文
共 64 条
[1]  
Akman Yildiz T, 2019, FRONT PHYS-LAUSANNE, V7, DOI 10.3389/fphy.2019.00095
[2]   Based on mathematical epidemiology and evolutionary game theory, which is more effective: quarantine or isolation policy? [J].
Alam, Muntasir ;
Kabir, K. M. Ariful ;
Tanimoto, Jun .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2020, 2020 (03)
[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]   POPULATION BIOLOGY OF INFECTIOUS-DISEASES .1. [J].
ANDERSON, RM ;
MAY, RM .
NATURE, 1979, 280 (5721) :361-367
[5]  
[Anonymous], 1993, FRACTIONAL INTEGRALS
[6]  
[Anonymous], 80 ASYMPTOMATIC PEOP
[7]  
Atangana A., 2021, ADV ANAL EPIDEMIOLOG, DOI [10.1101/2021.09.02.21263016, DOI 10.1101/2021.09.02.21263016]
[9]  
Baleanu D., 2011, Fractional Dynamics and Control, DOI [10.1007/978-1-4614-0457-6, DOI 10.1007/978-1-4614-0457-6]
[10]   The hearth of mathematical and statistical modelling during the Coronavirus pandemic [J].
Bertolaccini, Luca ;
Spaggiari, Lorenzo .
INTERACTIVE CARDIOVASCULAR AND THORACIC SURGERY, 2020, 30 (06) :801-802