Hopf bifurcation of a heroin model with time delay and saturated treatment function
type: Item
instance of: scholarly article
title: Hopf bifurcation of a heroin model with time delay and saturated treatment function
zbMATH Open document ID: 1443.37065
author: Yougang Wang
author: Zizhen Zhang
published in: Advances in Difference Equations
publication date: 2019-03-04T00:00:00Z
review text: The authors consider a delayed heroin epidemic model with saturated treatment function. Some sufficient conditions for the local stability of the solutions are obtained, and considering the time delay as a bifurcation parameter, the authors succeed to establish the existence of a Hopf bifurcation. Numerical simulations are also presented to justify the theoretical results contained in the paper.
reviewed by: Sofiane El-Hadi Miri
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 39A60
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7031850
zbMATH Keywords: heroin model
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stability
zbMATH Keywords: time delay
MaRDI profile type: Publication
full work available at URL: s13662-019-2009-4
OpenAlex ID: W2921093292
cites work: Global asymptotic properties of a heroin epidemic model with treat-age
cites work: Global behaviour of a heroin epidemic model with distributed delays
cites work: Heroin epidemics, treatment and ODE modelling
cites work: A note on heroin epidemics
cites work: Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
cites work: A note on global stability for a heroin epidemic model with distributed delay
cites work: Global stability for a heroin model with two distributed delays
cites work: Global dynamics of a discretized heroin epidemic model with time delay
cites work: Global stability for a heroin model with age-dependent susceptibility
cites work: Bifurcation of a heroin model with nonlinear incidence rate
cites work: A heroin epidemic model: very general non linear incidence, treat-age, and global stability
cites work: Global dynamics of a heroin epidemic model with age structure and nonlinear incidence
cites work: Analysis of a heroin epidemic model with saturated treatment function
cites work: Q3930015
cites work: Delay-induced oscillations in a competitor-competitor-mutualist Lotka-Volterra model
cites work: Hopf bifurcation of a computer virus spreading model in the network with limited anti-virus ability
cites work: Bifurcation analysis in a delayed computer virus model with the effect of external computers
Wikidata QID: Q128391218
DOI: 10.1186/S13662-019-2009-4
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description: scientific article; zbMATH DE number 7031850