Abstract
The second wave of COVID-19 is an unprecedented condition in India and began in mid February 2021. Individuals who were already suffering from other comorbidities were found with lung infection, and hence, the number of disease induced deaths were rising faster during the second wave in relation to the first wave. This paper has proposed a mathematical model with fractional order derivatives by correlating the model based number of infectives with the real number of infectives in India. For the system of fractional differential equations, a disease-free state has been computed and proved to be locally asymptotically stable with certain restrictions. The mathematical model has been numerically simulated using the predictor-corrector method to highlight the role played by fractional order in controlling the disease spread. Numerical simulations signify the fact that a vital role has been played by fractional order model over integer order model in determining the transmission of COVID-19. It can be visualized that the increment rate in the infectives is lower by taking into consideration the memory effect due to a previous exposure to COVID-19.
Recommended Citation
Rajput, Ashutosh; ., Tanvi; Aggarwal, Rajiv; Sharma, Arpana; Sahdev, Shiv Kumar; Kumar, Manoj; and ., Jaimala
(2023).
(R1954) Fractional Order on Modeling the Transmission of Devastative COVID-19 Infection: Efficacy of Vaccination,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
Iss.
1, Article 11.
Available at:
https://digitalcommons.pvamu.edu/aam/vol18/iss1/11