Mathematical modelling of COVID-19 dynamics using SVEAIQHR model-Reference-Cited by-同舟云学术

Mathematical modelling of COVID-19 dynamics using SVEAIQHR model

Published:2024-01-01 Issue:1 Volume:12 Page:
ISSN:2544-7297
Container-title:Computational and Mathematical Biophysics
language:en
Short-container-title:

Author:

Venkatesh Ambalarajan¹,Rao Mallela Ankamma¹,Raj Murugadoss Prakash¹,Kumar Karuppusamy Arun¹,Vamsi D. K. K.²

Affiliation:

1. Department of Mathematics, AVVM Sri Pushpam College , Poondi, Thanjavur (Dt) , Tamil Nadu, 613503 , India

2. Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning - SSSIHL , Puttaparthi, Anantapur (Dt) , Andhra Pradesh, 515134 , India

Abstract

Abstract In this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission. We examine the model’s qualitative properties, such as positivity and boundedness of solutions, and stability analysis of the illness-free equilibrium with respect to the basic reproduction number. We estimate ten significant parameters and also compute the magnitude of the basic reproduction number for India by fitting the proposed model to daily confirmed and cumulative confirmed COVID-19 cases in India. Sensitivity analysis with respect to basic reproduction number is conducted, and the main parameters that impact the widespread of disease are determined. We further extend this model to an optimal control problem by including four non-pharmaceutical and pharmaceutical intervention measures as control functions. Our numerical results show that the four control strategy has greater impact than the three control strategies, two control strategies, and single control strategies on reducing the dynamics of COVID-19 transmission.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/cmb-2023-0112/pdf

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