Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
type: Item
instance of: scholarly article
title: Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
zbMATH Open document ID: 1387.34076
author: Nguyen Thanh Dieu
published in: Journal of Dynamics and Differential Equations
publication date: 2018-04-16T00:00:00Z
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 37A25
zbMATH DE Number: 6860325
zbMATH Keywords: SIR epidemic model
zbMATH Keywords: extinction
zbMATH Keywords: permanence
zbMATH Keywords: stationary distribution
zbMATH Keywords: ergodicity
MaRDI profile type: Publication
full work available at URL: s10884-016-9532-8
OpenAlex ID: W2598777810
cites work: Classification of asymptotic behavior in a stochastic SIR model
cites work: Conditions for permanence and ergodicity of certain stochastic predator-prey models
cites work: A Stochastic Differential Equation SIS Epidemic Model
cites work: The mathematics of infectious diseases
cites work: A classification of the second order degenerate elliptic operators and its probabilistic characterization
cites work: Q3992729
cites work: Q3013309
cites work: Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
cites work: Recurrence and invariant measures for degenerate diffusions
cites work: A predator-prey SIR type dynamics on large complete graphs with three phase transitions
cites work: Q4920739
cites work: Threshold behavior in a stochastic SIS epidemic model with standard incidence
cites work: Q4369402
cites work: Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
cites work: Stochastic asymptotic stability of SIR model with variable diffusion rates
cites work: Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
DOI: 10.1007/S10884-016-9532-8
Recommended article: The asymptotic behavior of a stochastic SIR epidemic model
Recommended article: Q5371444
Recommended article: Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes
Recommended article: The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
Recommended article: Q3461757
Recommended article: Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
Recommended article: Asymptotic dynamics of a stochastic SIR epidemic system affected by mixed nonlinear incidence rates
Recommended article: The asymptotic behavior of a stochastic SIQS epidemic model with nonlinear incidence
Recommended article: Q5143665
Recommended article: Asymptotic behavior and threshold of a stochastic SIQS epidemic model with vertical transmission and Beddington-DeAngelis incidence
description: scientific article; zbMATH DE number 6860325