Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Stochastic Modeling of COVID-19 with the Impact of Vaccination Class, Using Higher-Order Spectral Scheme

Version 1 : Received: 20 July 2023 / Approved: 21 July 2023 / Online: 21 July 2023 (07:13:53 CEST)

How to cite: Awwad, F.A.; Khan, S.U.; Khan, F.U.; Ismail, E.A.A.; Gul, T. Stochastic Modeling of COVID-19 with the Impact of Vaccination Class, Using Higher-Order Spectral Scheme. Preprints 2023, 2023071476. https://doi.org/10.20944/preprints202307.1476.v1 Awwad, F.A.; Khan, S.U.; Khan, F.U.; Ismail, E.A.A.; Gul, T. Stochastic Modeling of COVID-19 with the Impact of Vaccination Class, Using Higher-Order Spectral Scheme. Preprints 2023, 2023071476. https://doi.org/10.20944/preprints202307.1476.v1

Abstract

Coronavirus disease 2019 (COVID-19) is a high contagious respiratory infectious disease that has afiected millions of people worldwide. Initially, basic public health measures were implemented to control specially the spread of such virus. However, vaccination has emerged as a highly efiective strategy in combating COVID-19 and reducing its transmission. Several efiective and safe vaccines have been approved to prevent the inadvertent spread of the disease. In this study, a modeling approach is used to analyze the impact of these vaccines on the dynamics of COVID-19. By applying a higher-order numerical method, the model is solved based on reported cases in Pakistan. A spectral method is employed for the numerical solution, and the model is simulated to assess the efiects of vaccination. The Next-generation method is used to calculate the threshold quantity, known as R0, which indicates the potential for disease transmission. The study also includes a detailed stability analysis, examining the invariance properties of the model solution and discussing equilibrium points and their stability in disease-free and endemic states. Furthermore, the study presents graphical representations of the influence of special parameters on the dynamics of the pandemic.

Keywords

COVID-19 mathematical model; Vaccination; Stochastic Asymptotic stability; Legendre-Gauss-Lobatto points; Spectral Method

Subject

Physical Sciences, Biophysics

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