Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
type: Item
instance of: scholarly article
title: Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
zbMATH Open document ID: 1411.92277
DOI: 10.1155/2018/7873902
author: Fei Li
author: Xinzhu Meng
author: Xinzeng Wang
published in: Computational \& Mathematical Methods in Medicine
publication date: 2019-03-27T00:00:00Z
review text: Summary: This paper considers a high-dimensional stochastic SEIQR (susceptible-exposed-infected-quarantined-recovered) epidemic model with quarantine-adjusted incidence and the imperfect vaccination. The main aim of this study is to investigate stochastic effects on the SEIQR epidemic model and obtain its thresholds. We first obtain the sufficient condition for extinction of the disease of the stochastic system. Then, by using the theory of Hasminskii and the Lyapunov analysis methods, we show there is a unique stationary distribution of the stochastic system and it has an ergodic property, which means the infectious disease is prevalent. This implies that the stochastic disturbance is conducive to epidemic diseases control. At last, computer numerical simulations are carried out to illustrate our theoretical results.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7042946
zbMATH Keywords: stochastic susceptible-exposed-infected-quarantined-recovered epidemic model
zbMATH Keywords: imperfect vaccination
Wikidata QID: Q54231925
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7873902
OpenAlex ID: W2790149985
cites work: Hypoelliptic second order differential equations
cites work: Variational approach to impulsive differential equations
cites work: Positive solutions for boundary value problem of nonlinear fractional differential equation
cites work: Instability in Linear Cooperative Systems of Ordinary Differential Equations
cites work: Positive solutions to boundary value problems of \(p\)-Laplacian with fractional derivative
cites work: Uniqueness of solution for boundary value problems for fractional differential equations
cites work: Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
cites work: Optimal harvesting control and dynamics of two-species stochastic model with delays
cites work: A stochastic SIRS epidemic model with infectious force under intervention strategies
cites work: GLOBAL ANALYSIS FOR A DELAYED SIV MODEL WITH DIRECT AND ENVIRONMENTAL TRANSMISSIONS
cites work: The complete classification for dynamics of an SIS STD model in terms of four parameters
cites work: Global stability of an SIR epidemic model with time delay.
cites work: Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
cites work: A new predator-prey model with a profitless delay of digestion and impulsive perturbation on the prey
cites work: Optimal control strategy for an impulsive stochastic competition system with time delays and jumps
cites work: An SIR epidemic model with time-varying pulse control schemes and saturated infectious force
cites work: Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input
cites work: Homoclinic bifurcation in an SIQR model for childhood diseases
cites work: Global threshold dynamics of SIQS epidemic model in time fluctuating environment
cites work: Recurrent outbreaks of childhood diseases revisited: The impact of isolation
cites work: Effects of quarantine in six endemic models for infectious diseases
cites work: Mathematical analysis of an SIQR influenza model with imperfect quarantine
cites work: Global analysis of an SEIR model with varying population size and vaccination
cites work: Transmission dynamics of an influenza model with vaccination and antiviral treatment
cites work: The threshold of a stochastic SIS epidemic model with vaccination
cites work: Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps
cites work: A delay SIR epidemic model with pulse vaccination and incubation times
cites work: Impulsive vaccination and dispersal on dynamics of an SIR epidemic model with restricting infected individuals boarding transports
cites work: A stage-structured predator-prey SI model with disease in the prey and impulsive effects
cites work: A note on the stationary distribution of the stochastic chemostat model with general response functions
cites work: Permanence of stochastic Lotka-Volterra systems
cites work: Stochastic linear quadratic optimal control with constraint for discrete-time systems
cites work: Population dynamical behavior of a two-predator one-prey stochastic model with time delay
cites work: OUP accepted manuscript
cites work: Stability analysis for stochastic differential equations with infinite Markovian switchings
cites work: Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps
cites work: On observability and detectability of continuous-time stochastic Markov jump systems
cites work: Observer-based controller design for singular stochastic Markov jump systems with state dependent noise
cites work: Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size
cites work: Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
cites work: Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination
cites work: Threshold dynamics in stochastic SIRS epidemic models with nonlinear incidence and vaccination
cites work: The global dynamics for a stochastic SIS epidemic model with isolation
cites work: A remark on stationary distribution of a stochastic SIR epidemic model with double saturated rates
cites work: Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
cites work: Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model
cites work: Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
cites work: Global analysis of a new nonlinear stochastic differential competition system with impulsive effect
cites work: Q5429735
cites work: The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
cites work: Stationary distribution and ergodicity of a stochastic food-chain model with Lévy jumps
cites work: Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
cites work: Q3764976
cites work: Asymptotic Properties of Hybrid Diffusion Systems
description: scientific article; zbMATH DE number 7042946