Investigation of COVID-19 mathematical model under fractional order derivative

¹ Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.
² Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia.
³ Department of Mathematics, Cankaya University, Ankara, Turkey.
⁴ Institute of Space Sciences, Bucharest, Romania, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.

^* Corresponding author: kamalshah408@gmail.com

Received: 13 June 2020
Accepted: 17 August 2021

Abstract

The given article is devoted to presentation of some results regarding existence and uniqueness of solution to a fractional order model that addressing the effect of immigration on the transmission dynamics of a population model. Further, in view of this investigation the effect of immigration have been checked on transmission of recent pandemic known as Corona virus COVID-19. The concerned results have been established by using fixed point theory approach. After investigation qualitative analysis of the considered model, by applying Laplace transform along with decomposition method, we have calculated some series type results for the concerned model. The unknown quantities of each equation have been decomposed into small quantities to calculate each small quantity very easily for the series solution by adding first few terms of the said quantities. Approximate results of some testing data with different cases are given to illustrate the results.