A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic

Meghadri Das, Guruprasad Samanta and Manuel De la Sen ()
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Meghadri Das: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
Guruprasad Samanta: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
Manuel De la Sen: Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain

Mathematics, 2022, vol. 10, issue 16, 1-17

Abstract: In this work, we emphasise the dynamical study of spreading COVID-19 in Bangladesh. Considering the uncertainty caused by the limited coronavirus (COVID-19) information, we have taken the modified Susceptible-Asymptomatic-Infectious-Hospitalised-Recovered (SAIHR) compartmental model in a Caputo fractional order system. We have also introduced public behavioural and government policy dynamics in our model. The dynamical nature of the solutions of the system is analysed and we have also calculated the sensitivity index of different parameters. It has been observed that public behaviour and government measures play an important role in controlling the pandemic situation. The government measures (social distance, vaccination, hospitalisation, awareness programme) are more helpful than only public responses to the eradication of the COVID-19 pandemic.

Keywords: Caputo fractional differential equation; COVID-19; SAIHR compartmental model; stability; sensitivity index (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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