Global dynamics of a discretized heroin epidemic model with time delay

DOI10.1155/2014/742385zbMath1406.92547OpenAlexW2074087155WikidataQ59041128 ScholiaQ59041128MaRDI QIDQ1724871

Ling Zhang, Xamxinur Abdurahman, Zhi-Dong Teng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/742385

zbMATH Keywords

global asymptotic stabilityheroin epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

Related Items (6)

Numerical treatment of stochastic heroin epidemic model ⋮ A data-driven mathematical model of the heroin and fentanyl epidemic in Tennessee ⋮ Hopf bifurcation of a heroin model with time delay and saturated treatment function ⋮ DYNAMICS OF STOCHASTIC HEROIN EPIDEMIC MODEL WITH LÉVY JUMPS ⋮ Modeling the prescription opioid epidemic ⋮ Hopf bifurcation analysis of a synthetic drug transmission model with time delays

Cites Work

• Global behaviour of a heroin epidemic model with distributed delays
• Dynamics of a nonstandard finite-difference scheme for Mackey-Glass system
• Global dynamics of a discretized SIRS epidemic model with time delay
• Global behavior and permanence of SIRS epidemic model with time delay
• A note on heroin epidemics
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• Global behavior of an SEIRS epidemic model with time delays
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A note on global stability for a heroin epidemic model with distributed delay
• Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
• Heroin epidemics, treatment and ODE modelling

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