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Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel
Author(s) -
Padmavathi V.,
Prakash A.,
Alagesan K.,
Magesh N.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6886
Subject(s) - mathematics , fractional calculus , kernel (algebra) , ordinary differential equation , nonlinear system , coronavirus , homotopy analysis method , covid-19 , partial differential equation , derivative (finance) , operator (biology) , homotopy , mathematical analysis , differential equation , pure mathematics , pathology , quantum mechanics , medicine , physics , disease , infectious disease (medical specialty) , repressor , chemistry , financial economics , biochemistry , transcription factor , economics , gene
Every now and then, there has been natural or man‐made calamities. Such adversities instigate various institutions to find solutions for them. The current study attempts to explore the disaster caused by the micro enemy called coronavirus for the past few months and aims at finding the solution for the system of nonlinear ordinary differential equations to which q − homotopy analysis transform method ( q − HATM) has been applied to arrive at effective results. In this paper, there are eight nonlinear ordinary differential equations considered and to solve them the advanced fractional operator Atangana‐Baleanu (AB) fractional derivative has been applied to produce better understanding. The outcomes have been presented in terms of plots. Ultimately, the present study assists in examining the real‐world models and aids in predicting their behavior corresponding to the parameters considered in the models.