Impact of media-induced fear on the control of COVID-19 outbreak: a mathematical study
type: Item
instance of: scholarly article
title: Impact of media-induced fear on the control of COVID-19 outbreak: a mathematical study
zbMATH Open document ID: 1465.92122
DOI: 10.1155/2021/2129490
author: Chandan Maji
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: The COVID-19 pandemic has put the world in threat for a long time. It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO. This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected. The pandemic has placed many nations at the door of socioeconomic emergencies. Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease. In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic. We have calculated the basic reproduction number \(R_0\), and we observed that when \(R_0 < 1\), disease-free equilibrium is globally stable whereas if \(R_0> 1\), then the system is permanent and there exists a unique endemic equilibrium point. Global stability of the endemic equilibrium point is developed by using Li and Muldowney's high-dimensional Bendixson criterion. Finally, some numerical simulations are performed using MATLAB to verify our analytical results.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7349548
Wikidata QID: Q115243729
describes a project that uses: Be-CoDiS
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/2129490
OpenAlex ID: W3126656550
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description: scientific article; zbMATH DE number 7349548