ArticleChaos, solitons, and fractals2021
A fractional-order differential equation model of COVID-19 infection of epithelial cells.
Article in Chaos, solitons, and fractals, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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18 citing papers in PubMed, 72 citations in OpenAlex.
- Mathematical Model of Influenza Infection Suggests JAK-STAT Activity Drives Severe Pathologies in Juvenile Mice.Frontiers in applied mathematics and statistics · 2025Article
- Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach.Scientific reports · 2024Article
- A data-driven analysis on the mediation effect of compartment models between control measures and COVID-19 epidemics.Heliyon · 2024Article
- Study of (Heliyon · 2024Article
- A Managerial Approach towards Modeling the Different Strains of the COVID-19 Virus Based on the Spatial GeoCity Model.Viruses · 2023Article
- Generation of multi-scrolls in corona virus disease 2019 (COVID-19) chaotic system and its impact on the zero-covid policy.Scientific reports · 2023Article
- Prediction of the morbidity and mortality rates of COVID-19 in Egypt using non-extensive statistics.Scientific reports · 2023Article
- Clinical effects of 2-DG drug restraining SARS-CoV-2 infection: A fractional order optimal control study.Journal of biological physics · 2022Article
- Global Dynamics of SARS-CoV-2 Infection with Antibody Response and the Impact of Impulsive Drug Therapy.Vaccines · 2022Article
- Timely and effective media coverage's role in the spread of Corona Virus Disease 2019.Mathematical methods in the applied sciences · 2022Article
- A case study of 2019-nCoV in Russia using integer and fractional order derivatives.Mathematical methods in the applied sciences · 2022Article
- Study on the virulence evolution of SARS-CoV-2 and the trend of the epidemics of COVID-19.Mathematical methods in the applied sciences · 2022Article
- Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom.Chaos, solitons, and fractals · 2022Article
- Chaotic dynamics in a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives.Nonlinear dynamics · 2022Review
- Dynamical demeanour of SARS-CoV-2 virus undergoing immune response mechanism in COVID-19 pandemic.The European physical journal. Special topics · 2022Article
- Drug Treatment Effect Model Based on MODWT and Hawkes Self-Exciting Point Process.Computational and mathematical methods in medicine · 2022Article
- Early Prediction Model for Critical Illness of Hospitalized COVID-19 Patients Based on Machine Learning Techniques.Frontiers in public health · 2022Article
- Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics.The European physical journal. Special topics · 2022Article
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Authors and funding
2 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A novel coronavirus disease (COVID-19) appeared in Wuhan, China in December 2019 and spread around the world at a rapid pace, taking the form of pandemic. There was an urgent need to look for the remedy and control this deadly disease. A new strain of coronavirus called Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) was considered to be responsible for COVID-19. Novel coronavirus (SARS-CoV-2) belongs to the family of coronaviruses crowned with homotrimeric class 1 fusion spike protein (or S protein) on their surfaces. COVID-19 attacks primarily at our throat and lungs epithelial cells. In COVID-19, a stronger adaptive immune response against SARS-CoV-2 can lead to longer recovery time and leads to several complications. In this paper, we propose a mathematical model for examining the consequence of adaptive immune responses to the viral mutation to control disease transmission. We consider three populations, namely, the uninfected epithelial cells, infected cells, and the SARS-CoV-2 virus. We also take into account combination drug therapy on the dynamics of COVID-19 and its effect. We present a fractional-order model representing COVID-19/SARS-CoV-2 infection of epithelial cells. The main aim of our study is to explore the effect of adaptive immune response using fractional order operator to monitor the influence of memory on the cell-biological aspects. Also, we have studied the outcome of an antiviral drug on the system to obstruct the contact between epithelial cells and SARS-CoV-2 to restrict the COVID-19 disease. Numerical simulations have been done to illustrate our analytical findings.
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