Global behavior of a multi-group SEIR epidemic model with age structure and spatial diffusion
type: Item
instance of: scholarly article
title: Global behavior of a multi-group SEIR epidemic model with age structure and spatial diffusion
zbMATH Open document ID: 1471.92326
author: Yanyan Li
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-03T00:00:00Z
review text: This paper presents global stability analysis of a multi-group SEIR epidemic model with age structure and diffusion. The authors study the positivity, boundedness, existence, uniqueness of solution and the existence of compact global attractor of the solution semiflow. By constructing a suitable Lyapunov functionals, the LaSalle's invariance principle, and graph theoretical results, they show the global stability of the disease-free steady state and the endemic steady state.
reviewed by: Hongying Shu
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7390454
zbMATH Keywords: global stability
zbMATH Keywords: multi-group epidemic model
zbMATH Keywords: age structure
zbMATH Keywords: spatial diffusion
Wikidata QID: Q104619367
MaRDI profile type: Publication
full work available at URL: mbe.2020372
OpenAlex ID: W3093962384
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DOI: 10.3934/MBE.2020372
description: scientific article; zbMATH DE number 7390454