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Deprecated: Implicit conversion from float 243.2 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Chaos+Solitons+Fractals 2021 ; 145 (ä): 110757 Nephropedia Template TP
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Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives #MMPMID33558794
Panwar VS; Sheik Uduman PS; Gomez-Aguilar JF
Chaos Solitons Fractals 2021[Apr]; 145 (ä): 110757 PMID33558794show ga
In this article, Coronavirus Disease COVID-19 transmission dynamics were studied to examine the utility of the SEIR compartmental model, using two non-singular kernel fractional derivative operators. This method was used to evaluate the complete memory effects within the model. The Caputo-Fabrizio (CF) and Atangana-Baleanu models were used predicatively, to demonstrate the possible long-term trajectories of COVID-19. Thus, the expression of the basic reproduction number using the next generating matrix was derived. We also investigated the local stability of the equilibrium points. Additionally, we examined the existence and uniqueness of the solution for both extensions of these models. Comparisons of these two epidemic modeling approaches (i.e. CF and ABC fractional derivative) illustrated that, for non-integer tau value. The ABC approach had a significant effect on the dynamics of the epidemic and provided new perspective for its utilization as a tool to advance research in disease transmission dynamics for critical COVID-19 cases. Concurrently, the CF approach demonstrated promise for use in mild cases. Furthermore, the integer tau value results of both approaches were identical.