The dynamics of a stochastic SIR epidemic model with nonlinear incidence and vertical transmission
From MaRDI portal
Publication:2244373
DOI10.1155/2021/4645203zbMath1486.92248OpenAlexW3206547438MaRDI QIDQ2244373
Publication date: 12 November 2021
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/4645203
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
- Global threshold dynamics of a stochastic differential equation SIS model
- Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
- Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- The threshold of a stochastic SIS epidemic model with imperfect vaccination
- The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion
- Dynamical analysis of a stochastic SIRS epidemic model with saturating contact rate
- Qualitative study of a stochastic SIS epidemic model with vertical transmission
- Dynamics analysis of a stochastic SIRS epidemic model with nonlinear incidence rate and transfer from infectious to susceptible
- Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching
- Stochastic dynamics of SIRS epidemic models with random perturbation
- Exclusion and persistence in deterministic and stochastic chemostat models
- Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- The threshold of a non-autonomous SIRS epidemic model with stochastic perturbations
- A Stochastic Differential Equation SIS Epidemic Model
- Asymptotic Properties of Hybrid Diffusion Systems
- Dynamic behavior of a stochastic SIRS epidemic model with media coverage
- Stochastic Calculus
- The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model