Fractional dynamical probes in COVID-19 model with control interventions: a comparative assessment of eight most affected countries

The ultimate aim of the article is to predict COVID-19 virus inter-cellular behavioral dynamics using an infection model with a quarantine compartment. Internal viral dynamics and stability attributes are thoroughly investigated around stable equilibrium states to probe possible ways in reducing rap...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 137; no. 3; p. 370
Main Authors Pitchaimani, M., Saranya Devi, A.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
Springer Nature B.V
Subjects
Applied and Technical Physics
Asymptomatic
Atomic
Complex Systems
Condensed Matter Physics
Coronaviruses
COVID-19
Disease transmission
Dynamic stability
Epidemiology
Hospitalization
Infections
Infectious diseases
Investigations
Mathematical and Computational Physics
Mathematical models
Molecular
Optical and Plasma Physics
Pandemics
Parameters
Partial differential equations
Physics
Physics and Astronomy
Quarantine
Regular
Regular Article
Theoretical
Viral diseases
Viruses
United Kingdom > UK
Iran
United States > US
China
Italy
France
Germany
Spain
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Summary:The ultimate aim of the article is to predict COVID-19 virus inter-cellular behavioral dynamics using an infection model with a quarantine compartment. Internal viral dynamics and stability attributes are thoroughly investigated around stable equilibrium states to probe possible ways in reducing rapid spread by incorporating fractional-order components into epidemic systems. Furthermore, a fractional optimal problem was built and studied with three control measures to restrict the widespread of COVID-19 infections and exhibit perfect protection. It is found that by following 60 % of control strategies can eradicate the infectives. Furthermore, the time frame of sixteen months has been divided into four short periods to grasp the pandemic, as the pandemic’s parameters change over time. Finally, using real data, we estimated the parameters of the model system and the expression of the basic reproduction number R 0 for the most affected countries, China, USA, UK, Italy, France, Germany, Spain, and Iran.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-02556-3