SDIQR mathematical modelling for COVID-19 of Odisha associated with influx of migrants based on Laplace Adomian decomposition technique

Itishree Sahu; Saumya Ranjan Jena

doi:10.1007/s40808-023-01756-9

SDIQR mathematical modelling for COVID-19 of Odisha associated with influx of migrants based on Laplace Adomian decomposition technique

Model Earth Syst Environ. 2023 Mar 9:1-10. doi: 10.1007/s40808-023-01756-9. Online ahead of print.

Authors

Itishree Sahu¹, Saumya Ranjan Jena¹

Affiliation

¹ Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha 751024 India.

Abstract

In this study, the Laplace Adomian decomposition technique (LADT) is employed to analyse a numerical study with the SDIQR mathematical model of COVID-19 for infected migrants in Odisha. The analytical power series and LADT are applied to the Covid-19 model to estimate the solution profiles of the dynamical variables. We proposed a mathematical model that incorporates both the resistive class and the quarantine class of COVID-19. We also introduce a procedure to evaluate and control the infectious disease of COVID-19 through the SDIQR pandemic model. Five compartments like susceptible ( $S$ ), diagnosed ( $D$ ), infected ( $I$ ), quarantined ( $Q$ ) and recovered ( $R$ ) population are found in our model. The model can only be solved approximately rather than analytically as it contains a system of nonlinear differential equations with reaction rates. To demonstrate and validate our model, the numerical simulations for infected migrants are plotted with suitable parameters.

Keywords: Adomian decomposition method; COVID-19; Laplace transform; Modelling migration; System of equations.

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