Evidence map›Paper›PMID 36107356›Full record

ArticleMedical & biological engineering & computing2022

On nonlinear dynamics of COVID-19 disease model corresponding to nonsingular fractional order derivative.

Muhammad Arfan, Maha M A Lashin, Pongsakorn Sunthrayuth, Kamal Shah, Aman Ullah, Kulpash Iskakova, M R Gorji, Thabet Abdeljawad

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Article in Medical & biological engineering & computing, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.

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4citing papers in PubMed
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3 · Its place in the literature

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4 citing papers in PubMed.

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5 · Who and what money

Authors and funding

8 authors.

Muhammad ArfanDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan.
Maha M A LashinElectrical Engineering Department, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia.
Pongsakorn SunthrayuthDepartment of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, 12110, Thailand. pongsakorn_su@rmutt.ac.th.
Kamal ShahDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan.
Aman UllahDepartment of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan.
Kulpash IskakovaDepartment of Physics and Mathematics, Kazakh National Pedagogical University, Almaty, Kazakhstan.
M R GorjiFaculty of Medicine and Health Sciences, Ghent University, 9000, Ghent, Belgium.
Thabet AbdeljawadDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This manuscript is devoted to investigate the mathematical model of fractional-order dynamical system of the recent disease caused by Corona virus. The said disease is known as Corona virus infectious disease (COVID-19). Here we analyze the modified SEIR pandemic fractional order model under nonsingular kernel type derivative introduced by Atangana, Baleanu and Caputo ([Formula: see text]) to investigate the transmission dynamics. For the validity of the proposed model, we establish some qualitative results about existence and uniqueness of solution by using fixed point approach. Further for numerical interpretation and simulations, we utilize Adams-Bashforth method. For numerical investigations, we use some available clinical data of the Wuhan city of China, where the infection initially had been identified. The disease free and pandemic equilibrium points are computed to verify the stability analysis. Also we testify the proposed model through the available data of Pakistan. We also compare the simulated data with the reported real data to demonstrate validity of the numerical scheme and our analysis.

Indexed as

COVID-19Nonlinear DynamicsHumansModels, TheoreticalApproximate solutionCOVID-19 modelNon-integer order Adams-Bashforth technique

Identifiers

PMID36107356
PMCPMC9476458

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.