Threshold dynamics of a delayed multi-group heroin epidemic model in heterogeneous populations

DOI10.3934/dcdsb.2016064zbMath1350.34064OpenAlexW2525702466MaRDI QIDQ325779

Li-Li Liu, Jinliang Wang, Xianning Liu

Publication date: 11 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016064

zbMATH Keywords

delayglobal stabilityheterogeneous populationsgraph-theoretic approachmulti-group heroin epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

GLOBAL STABILITY OF HYBRID SMOKING MODEL WITH NONLOCAL DIFFUSION ⋮ Dynamics of synthetic drug transmission models ⋮ Stability analysis of a reaction-diffusion heroin epidemic model ⋮ Dynamical analysis of a heroin–cocaine epidemic model with nonlinear incidence and spatial heterogeneity ⋮ Mathematical analysis of an age structured heroin-cocaine epidemic model ⋮ Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

Cites Work

• Global behaviour of a heroin epidemic model with distributed delays
• Global analysis on a class of multi-group SEIR model with latency and relapse
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
• A note on heroin epidemics
• Global stability of multi-group epidemic models with distributed delays
• Global-stability problem for coupled systems of differential equations on networks
• Functional differential equations with infinite delay
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission
• Global stability for a multi-group SIRS epidemic model with varying population sizes
• A note on global stability for a heroin epidemic model with distributed delay
• Global dynamics of a multi-group epidemic model with general exposed distribution and relapse
• Global dynamics of a general class of multi-group epidemic models with latency and relapse
• Further stability analysis for a multi-group SIRS epidemic model with varying total population size
• Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
• Global stability for a heroin model with two distributed delays
• A cholera model in a patchy environment with water and human movement
• Dynamical systems: Stability theory and applications
• Heroin epidemics, treatment and ODE modelling
• Modeling diseases with latency and nonlinear incidence rates: global dynamics of a multi-group model
• Global Stability of Infectious Disease Models Using Lyapunov Functions
• Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model
• Global dynamics of multi‐group dengue disease model with latency distributions
• A graph-theoretic approach to the method of global Lyapunov functions
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• An Epidemic Model with Population Dispersal and Infection Period

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