Dynamics analysis of an epidemiological model with media impact and two delays
type: Item
instance of: scholarly article
title: Dynamics analysis of an epidemiological model with media impact and two delays
zbMATH Open document ID: 1400.92547
DOI: 10.1155/2016/1598932
author: Lianwen Wang
author: Yong Li
author: Liuyong Pang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper is concerned with exploring the global dynamics of SEIR epidemic model with media impact, which incorporates latency and relapse delays. The permanence of the model is carefully discussed. By suitable Lyapunov functionals, we establish the global stability of the equilibria. It is found that the basic reproduction number completely determines the threshold dynamics of the SEIR model. Finally, the impact of media on the epidemic spread is studied, which reveals that timely response of media and individuals may play a more key role in disease control.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6952814
Wikidata QID: Q59131009
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1598932
OpenAlex ID: W2227528175
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description: scientific article; zbMATH DE number 6952814