Using LADM for solving the Dynamic System governing COVID-۱۹ Outbreak

An outbreak of the ۲۰۱۹ novel corona-virus disease (COVID-۱۹) 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-۱۹ 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 applicabilityand 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.

کلیدواژه ها:

Laplace Transform ، Adomian decomposition method ، COVID-۱۹ outbreak ، Caputo fractional derivative