Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
type: Item
instance of: scholarly article
title: Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
zbMATH Open document ID: 1484.37117
author: Xin Zhao
author: Tao Feng
author: Liang Wang
author: Zhipeng Qiu
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-12-01T00:00:00Z
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 60J20
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7437413
zbMATH Keywords: stochastic SIRS epidemic model
zbMATH Keywords: nonlinear incidence
zbMATH Keywords: semi-Markov switching
zbMATH Keywords: sensitivity analysis
MaRDI profile type: Publication
full work available at URL: dcdsb.2021010
OpenAlex ID: W3115217980
cites work: Optimal control strategies for dengue transmission in Pakistan
cites work: Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
cites work: Semi-markov decision problems and performance sensitivity analysis
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: A susceptible-infected epidemic model with voluntary vaccinations
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Conditions for permanence and ergodicity of certain SIR epidemic models
cites work: Global analysis of a stochastic TB model with vaccination and treatment
cites work: Analysis of an epidemiological model driven by multiple noises: ergodicity and convergence rate
cites work: Q4061759
cites work: Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
cites work: Qualitative analyses of communicable disease models
cites work: Some epidemiological models with nonlinear incidence
cites work: Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
cites work: Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
cites work: Global analysis of SIS epidemic models with variable total population size
cites work: The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
cites work: Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
cites work: Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching
cites work: Global stability for the SEIR model in epidemiology
cites work: Semi-Markov processes and reliability
cites work: Stability on coupling SIR epidemic models with vaccination
cites work: Stability of stochastic differential equations with Markovian switching
cites work: Q5429735
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: Stability of Markovian processes II: continuous-time processes and sampled chains
cites work: Q4151515
cites work: Optimal strategy of vaccination and treatment in an SIRS model with Markovian switching
cites work: A model for HIV transmission with two interacting high-risk groups
cites work: Q4441736
cites work: Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
cites work: Global analysis of an epidemic model with nonmonotone incidence rate
cites work: Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
cites work: The threshold of a stochastic SIS epidemic model with vaccination
cites work: The threshold of a stochastic SIRS epidemic model with saturated incidence
cites work: The threshold of a stochastic SIRS epidemic model in a population with varying size
cites work: Use of age-stage structural models to seek optimal \textit{Wolbachia}-infected male mosquito releases for mosquito-borne disease control
cites work: Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching
DOI: 10.3934/DCDSB.2021010
description: scientific article; zbMATH DE number 7437413