2023
DOI: 10.3390/sym15020286
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Analysis of the Mathematical Modelling of COVID-19 by Using Mild Solution with Delay Caputo Operator

Abstract: This work investigates a mathematical fractional-order model that depicts the Caputo growth of a new coronavirus (COVID-19). We studied the existence and uniqueness of the linked solution using the fixed point theory method. Using the Laplace Adomian decomposition method (LADM), we explored the precise solution of our model and obtained results that are stated in terms of infinite series. Numerical data were then used to demonstrate the use of the new derivative and the symmetric structure that we created. Whe… Show more

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Cited by 12 publications
(5 citation statements)
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“…Several models have been developed to comprehensively analyze the transmission dynamics of infectious diseases, reflecting ongoing efforts to enhance our understanding of disease spread and control (Aslam et al, 2021;Hussain et al, 2021a, b;Alnahdi et al, 2022;Anjam et al, 2022;Abuasbeh et al, 2023;Meftah et al, 2023;Ramzan et al, 2023;Saleem et al, 2023;Sami et al, 2023). These models encompass a diverse array of methods, techniques, and intricacies, guided by the necessity for precise forecasts and efficient tactics in disease control.…”
Section: Introductionmentioning
confidence: 99%
“…Several models have been developed to comprehensively analyze the transmission dynamics of infectious diseases, reflecting ongoing efforts to enhance our understanding of disease spread and control (Aslam et al, 2021;Hussain et al, 2021a, b;Alnahdi et al, 2022;Anjam et al, 2022;Abuasbeh et al, 2023;Meftah et al, 2023;Ramzan et al, 2023;Saleem et al, 2023;Sami et al, 2023). These models encompass a diverse array of methods, techniques, and intricacies, guided by the necessity for precise forecasts and efficient tactics in disease control.…”
Section: Introductionmentioning
confidence: 99%
“…[ 30 ] studied measles epidemic model with the constant proportional Caputo operator. Some other useful results using fractional derivatives were presented in [ 31 33 ].…”
Section: Introductionmentioning
confidence: 99%
“…SIR models have been used to take into account whether a person is aware of the disease [12,13], for instance, and many other models have been used to simulate double pandemic and nonlinear occurrence rate theories [14][15][16][17]. Since the introduction of COVID-19, researchers have been developing mathematical models to better understand the pandemic's mechanism of transmission, effect, propagation, control, and prevention as well as the effects of preventive interventions, such as washing hands with disinfectant and using hand sanitizer [18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%