The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion

DOI10.1016/j.matcom.2020.03.008OpenAlexW3014607634MaRDI QIDQ1998436

Buyu Wen, Nafeisha Tuerxun, Zhi-Dong Teng

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.03.008

zbMATH Keywords

Markov semigroupdegenerate diffusionstationary distributionbasic reproduction numberstochastic SIRS epidemic modelnon-monotonic incidence

Mathematics Subject Classification ID

Markov processes (60Jxx) Limit theorems in probability theory (60Fxx)

Related Items

Dynamic behavior of a stochastic SIRS model with two viruses ⋮ The impact of nonlinear stochastic perturbation on dynamical behavior of an HIV infection system ⋮ The dynamics of a stochastic SIR epidemic model with nonlinear incidence and vertical transmission

Cites Work

• Unnamed Item
• Unnamed Item
• A stochastic epidemic model incorporating media coverage
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• Effects of stochastic perturbation on the SIS epidemic system
• Exponential decay of the heat kernel over the diagonal. II
• Stability of Markov semigroups and applications to parabolic systems
• Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
• Modeling cell-to-cell spread of HIV-1 with nonlocal infections
• Global threshold dynamics of a stochastic epidemic model incorporating media coverage
• A stochastic SIRS epidemic model with nonlinear incidence rate
• A compartmental model for the analysis of SARS transmission patterns and outbreak control measures in China
• 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
• Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
• Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage
• A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
• Stationary distribution of a stochastic predator-prey model with distributed delay and general functional response
• The stationary distribution in a stochastic SIS epidemic model with general nonlinear incidence
• Long-time behavior of a regime-switching SIRS epidemic model with degenerate diffusion
• Environmental variability in a stochastic epidemic model
• Influence of stochastic perturbation on prey-predator systems
• Conditions for permanence and ergodicity of certain SIR epidemic models
• Asymptotic properties of switching diffusion epidemic model with varying population size
• Long-time behaviour of a stochastic prey--predator model.
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• A Stochastic Differential Equation SIS Epidemic Model
• Mathematical Structures of Epidemic Systems
• Periodic solution of a stochastic SIRS epidemic model with seasonal variation
• Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence
• Asymptotic Properties of Hybrid Diffusion Systems
• Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
• Dynamic behavior of a stochastic SIRS epidemic model with media coverage
• Dynamical behavior of a stochastic model of gene expression with distributed delay and degenerate diffusion
• Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes

This page was built for publication: The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion