Impacts of media awareness on a stage structured epidemic model
type: Item
instance of: scholarly article
title: Impacts of media awareness on a stage structured epidemic model
zbMATH Open document ID: 1466.92191
author: Anupam Khatua
author: T. K. Kar
published in: International Journal of Applied and Computational Mathematics
publication date: 2021-05-21T00:00:00Z
review text: The authors establish a stage-structured epidemic model including the effect of media awareness and assuming that the disease can be transmitted only among the mature populations. They identify the equilibria and the basic reproduction number. Castillo-Chavez's method is used to show global asymptotic stability of the disease-free equilibrium for \(R_0<1\), while the geometrical approach by Li and Muldowney is applied to show global asymptotic stability of the endemic equilibrium for \(R_0>1\) under some additional conditions. Using media awareness as a control parameter, the authors formulate an optimal control problem, which is solved analytically by applying Pontryagin's maximum principle. Several numerical examples illustrate the analytical results. The main conclusion of this work is that although media awareness alone is not sufficient to eradicate the disease, it can help disease management by decreasing extinction time and reducing the number of infected.
reviewed by: Attila Dénes
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 7350426
zbMATH Keywords: stage structure
zbMATH Keywords: media awareness
zbMATH Keywords: global stability
zbMATH Keywords: geometric approach
zbMATH Keywords: transcritical bifurcation
zbMATH Keywords: optimal control
MaRDI profile type: Publication
full work available at URL: s40819-020-00904-4
OpenAlex ID: W3089641286
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DOI: 10.1007/S40819-020-00904-4
description: scientific article; zbMATH DE number 7350426