Epidemic dynamics on a delayed multi-group heroin epidemic model with nonlinear incidence rate

DOI10.22436/JNSA.009.05.20zbMath1335.34130OpenAlexW2792004192MaRDI QIDQ2792653

Xianning Liu, Jinliang Wang

Publication date: 14 March 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2149--2160_Epidemic_dynamics_on_a_delayed_mult.pdf

zbMATH Keywords

global stabilityLyapunov functionalsmulti-groupheroin 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) Medical epidemiology (92C60) Stationary solutions of functional-differential equations (34K21)

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Controlling heroin addiction via age-structured modeling ⋮ Optimal control strategies for a heroin epidemic model with age-dependent susceptibility and recovery-age ⋮ Mathematical analysis of an age structured heroin-cocaine epidemic model ⋮ Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size ⋮ Analysis of an age-structured multi-group heroin epidemic model ⋮ Hopf bifurcation analysis of a synthetic drug transmission model with time delays ⋮ Mathematical analysis for an age-structured heroin epidemic model ⋮ Modeling the dynamics of heroin and illicit opioid use disorder, treatment, and recovery

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