Qualitative Study of a Nonlinear Stochastic SIRS Epidemic System

DOI10.1080/07362994.2014.961088zbMath1302.92131OpenAlexW2181837028MaRDI QIDQ2937463

Aadil Lahrouz, Adel Settati

Publication date: 9 January 2015

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2014.961088

zbMATH Keywords

extinctionstochastic epidemic modelpersistence in mean

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) White noise theory (60H40)

Related Items (13)

Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate ⋮ Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis ⋮ The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ Dynamics for a class of stochastic SIS epidemic models with nonlinear incidence and periodic coefficients ⋮ Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence ⋮ The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence ⋮ Threshold dynamics in stochastic SIRS epidemic models with nonlinear incidence and vaccination ⋮ Conditions for permanence and ergodicity of certain SIR epidemic models ⋮ Vaccination effect on a stochastic epidemic model with healing and relapse ⋮ Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination ⋮ Effects of stochastic perturbation on the SIS epidemic system ⋮ The dynamical behaviors in a stochastic SIS epidemic model with nonlinear incidence ⋮ Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes

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