Threshold dynamics of an SIR model with nonlinear incidence rate and age-dependent susceptibility
type: Item
instance of: scholarly article
title: Threshold dynamics of an SIR model with nonlinear incidence rate and age-dependent susceptibility
zbMATH Open document ID: 1407.92134
DOI: 10.1155/2018/9613807
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: We propose an SIR epidemic model with different susceptibilities and nonlinear incidence rate. First, we obtain the existence and uniqueness of the system and the regularity of the solution semiflow based on some assumptions for the parameters. Then, we calculate the basic reproduction number, which is the spectral radius of the next-generation operator. Second, we investigate the existence and local stability of the steady states. Finally, we construct suitable Lyapunov functionals to strictly prove the global stability of the system, which are determined by the basic reproduction number \(\mathcal R_0\) and some assumptions for the incidence rate.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C42
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7024932
author: Junyuan Yang
author: Xiao-Yan Wang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9613807
OpenAlex ID: W2897582097
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Wikidata QID: Q129092497
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description: scientific article; zbMATH DE number 7024932