Mathematical modeling and analysis of the SARS-Cov-2 disease with reinfection
Atifa A. Khan M.A. Iskakova K. Al-Duais F.S. Ahmad I.
June 2022Elsevier Ltd
Computational Biology and Chemistry
2022#98
The COVID-19 infection which is still infecting many individuals around the world and at the same time the recovered individuals after the recovery are infecting again. This reinfection of the individuals after the recovery may lead the disease to worse in the population with so many challenges to the health sectors. We study in the present work by formulating a mathematical model for SARS-CoV-2 with reinfection. We first briefly discuss the formulation of the model with the assumptions of reinfection, and then study the related qualitative properties of the model. We show that the reinfection model is stable locally asymptotically when R0<1. For R0≤1, we show that the model is globally asymptotically stable. Further, we consider the available data of coronavirus from Pakistan to estimate the parameters involved in the model. We show that the proposed model shows good fitting to the infected data. We compute the basic reproduction number with the estimated and fitted parameters numerical value is R0≈1.4962. Further, we simulate the model using realistic parameters and present the graphical results. We show that the infection can be minimized if the realistic parameters (that are sensitive to the basic reproduction number) are taken into account. Also, we observe the model prediction for the total infected cases in the future fifth layer of COVID-19 in Pakistan that may begin in the second week of February 2022.
Estimation of parameters , Mathematical model with reinfection , Numerical results and discussion , Stability analysis
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COMSATS University Islamabad, Lahore Campus, Pakistan
Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa
Department of Physics and Mathematics, Kazakh National Pedagogical University, Almaty, Kazakhstan
Mathematics Department, College of Humanities and Science in Al Aflaj, Prince Sattam Bin Abdulaziz University, Al Aflaj, Saudi Arabia
Administration Department, Administrative Science College, Thamar University, Thamar, Yemen
College of Applied Medical Sciences, Department of Medical Rehabilitation Sciences, King Khalid University, Abha, Saudi Arabia
COMSATS University Islamabad
Faculty of Natural and Agricultural Sciences
Department of Physics and Mathematics
Mathematics Department
Administration Department
College of Applied Medical Sciences
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