Dynamics in a stochastic heroin model with seasonal variation

DOI10.1016/j.physa.2019.121873OpenAlexW2949719543MaRDI QIDQ2163924

Shixue Wang, Junli Liu

Publication date: 11 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121873

zbMATH Keywords

Lyapunov functionperiodic solutionheroin modelextinction and permanence in mean

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Dynamical behaviors of a heroin population model with standard incidence rates between distinct patches

Cites Work

• Unnamed Item
• Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
• Threshold behavior in a stochastic SIS epidemic model with standard incidence
• An analogue of break-even concentration in a simple stochastic chemostat model
• Global behaviour of a heroin epidemic model with distributed delays
• SDE SIS epidemic model with demographic stochasticity and varying population size
• The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
• A note on heroin epidemics
• The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations
• Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching
• Dynamics for a class of stochastic SIS epidemic models with nonlinear incidence and periodic coefficients
• Stochastic analysis of a novel nonautonomous periodic SIRI epidemic system with random disturbances
• A note on global stability for a heroin epidemic model with distributed delay
• Optimal harvesting of a stochastic logistic model with time delay
• Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
• On a nonautonomous SEIRS model in epidemiology
• Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
• Global stability for a heroin model with two distributed delays
• Heroin epidemics, treatment and ODE modelling
• A Stochastic Differential Equation SIS Epidemic Model
• Periodic solution of a stochastic SIRS epidemic model with seasonal variation
• A strong law of large numbers for local martingales

This page was built for publication: Dynamics in a stochastic heroin model with seasonal variation