Global dynamics of a discretized heroin epidemic model with time delay
type: Item
instance of: scholarly article
title: Global dynamics of a discretized heroin epidemic model with time delay
zbMATH Open document ID: 1406.92547
DOI: 10.1155/2014/742385
author: Xamxinur Abdurahman
author: Ling Zhang
author: Zhidong Teng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We derive a discretized heroin epidemic model with delay by applying a nonstandard finite difference scheme. We obtain positivity of the solution and existence of the unique endemic equilibrium. We show that heroin-using free equilibrium is globally asymptotically stable when the basic reproduction number \(R_0 < 1\), and the heroin-using is permanent when the basic reproduction number \(R_0 > 1\).
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7022995
zbMATH Keywords: heroin epidemic model
zbMATH Keywords: global asymptotic stability
Wikidata QID: Q59041128
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/742385
OpenAlex ID: W2074087155
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description: scientific article; zbMATH DE number 7022995