Dynamics of a stochastic SIR epidemic model with saturated incidence

DOI10.1016/j.amc.2016.02.022zbMath1410.92126OpenAlexW2289272320MaRDI QIDQ1731075

Qun Liu, Qingmei Chen

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.022

zbMATH Keywords

extinctionLyapunov functionsstationary distributionItô's formulapersistence in the mean

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items

Dynamics of stochastic SEIS epidemic model with varying population size ⋮ Persistence and distribution of a stochastic susceptible-infected-removed epidemic model with varying population size ⋮ Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules ⋮ Stochastic asymptotic analysis of a multi-host model with vector transmission ⋮ Dynamics analysis of a stochastic SIRS epidemic model with nonlinear incidence rate and transfer from infectious to susceptible ⋮ Dynamics of a stochastic SIQR epidemic model with standard incidence ⋮ Dynamics of a stochastic SIQR epidemic model with saturated incidence rate ⋮ Bifurcation analysis of a respiratory disease model about air pollution direct and indirect effects ⋮ Stability of a nonlinear stochastic epidemic model with transfer from infectious to susceptible ⋮ A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources ⋮ Higher order stochastically perturbed SIRS epidemic model with relapse and media impact ⋮ Modeling a SI epidemic with stochastic transmission: hyperbolic incidence rate ⋮ The persistence and extinction of a stochastic SIS epidemic model with logistic growth ⋮ Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions ⋮ Strong convergence of the partially truncated Euler-Maruyama scheme for a stochastic age-structured SIR epidemic model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
• Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
• Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
• On pulse vaccine strategy in a periodic stochastic SIR epidemic model
• Long-time behaviour of a perturbed SIR model by white noise
• Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
• Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
• Asymptotic behavior of global positive solution to a stochastic SIR model
• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays
• Analysis of an SIR model with bilinear incidence rate
• Threshold behaviour of a stochastic SIR model
• Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
• Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Asymptotic Properties of Hybrid Diffusion Systems
• The Behavior of an SIR Epidemic Model with Stochastic Perturbation