Using LADM for solving the Dynamic System governing COVID-19 Outbreak

Amini, Belal; Valizadeh, Abbas; Narimanirad, Mohammad

doi:10.22034/jdgaa.2024.2035711.1009

Using LADM for solving the Dynamic System governing COVID-19 Outbreak

Document Type : Original Article

Authors

Belal Amini ¹

Abbas Valizadeh ²

Mohammad Narimanirad ³

¹ Miandoab County Education Department, West Azarbaijan, Miandoab, Iran

² Miandoab County Education Department, West Azarbaijan, Miandoab, Iran.

³ Department of Medical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran

10.22034/jdgaa.2024.2035711.1009

Abstract

An outbreak of the 2019 novel corona-virus disease (COVID-19) in Wuhan, China has spread quickly in all the world. The pivotal aim of the present work is to achieve an approximated analytical solution for the fractional order outbreak model of COVID-19 utilizing LADM. First the transmissibility of corona-virus is introduced as a nonlinear fractional order dynamic system with six classes of population, then by employing LADM, the approximated solutions in the series form are obtained. Further, novel simulations for all cases of results are provided to validate the applicability and effectiveness of the propounded scheme. Also we analyze the effect of some important parameters of the model on the control of the
virus spread. The outcomes of this research reveal that the LADM is computationally very effective
to analysis nonlinear fractional differential equations arises in daily life problems.

Keywords

Laplace transform

Adomian decomposition method

COVID-19 outbreak

Caputo fractional derivative