On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model

DOI10.1016/j.physa.2019.04.181OpenAlexW2936132746WikidataQ128071894 ScholiaQ128071894MaRDI QIDQ2158954

Xiao-Ming Fu

Publication date: 26 July 2022

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

Full work available at URL: https://arxiv.org/abs/1806.08696

zbMATH Keywords

asymptotic behaviorinvariant measuregeneral incidence ratestochastic delayed SIRS model

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (3)

A generalized stochastic SIR epidemic model with vaccination rules ⋮ Sharp convex generalizations of stochastic Gronwall inequalities ⋮ A stochastic dynamical model for nosocomial infections with co-circulation of sensitive and resistant bacterial strains

Cites Work

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• On pulse vaccine strategy in a periodic stochastic SIR epidemic model
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• Stationarity and periodicity of positive solutions to stochastic SEIR epidemic models with distributed delay
• Invariant measures for stochastic functional differential equations with superlinear drift term
• On existence and uniqueness of stationary distributions for stochastic delay differential equations with positivity constraints
• 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
• The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
• A comparison theorem for solutions of stochastic differential equations and its applications
• Global stability of an SIR epidemic model with time delays
• Stability of epidemic model with time delays influenced by stochastic perturbations
• Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
• Asymptotic behavior of stochastic multi-group epidemic models with distributed delays
• Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence
• A stochastic SIRS epidemic model with nonlinear incidence rate
• Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
• Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
• Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity
• A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
• On the global stability of an SIRS epidemic model with distributed delays
• The threshold of a stochastic SIRS epidemic model in a population with varying size
• Periodic solution for a non-autonomous Lotka-Volterra predator-prey model with random perturbation
• Global stability of an SIRS epidemic model with delays
• Stochastic dynamics of SIRS epidemic models with random perturbation
• Exclusion and persistence in deterministic and stochastic chemostat models
• Long-time behaviour of a stochastic prey--predator model.
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• A STOCHASTIC GRONWALL LEMMA
• A Stochastic Differential Equation SIS Epidemic Model
• Asymptotic Properties of Hybrid Diffusion Systems
• Numerical Solutions of Stochastic Functional Differential Equations
• Ergodicity for Infinite Dimensional Systems

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