Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination
From MaRDI portal
Publication:2056185
DOI10.3934/dcdsb.2021010zbMath1484.37117OpenAlexW3115217980MaRDI QIDQ2056185
Xin Zhao, Tao Feng, Liang Wang, Zhipeng Qiu
Publication date: 1 December 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021010
Epidemiology (92D30) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The threshold of a stochastic SIS epidemic model with vaccination
- Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
- Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
- Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
- Optimal control strategies for dengue transmission in Pakistan
- Some epidemiological models with nonlinear incidence
- The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
- Qualitative analyses of communicable disease models
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Stability of stochastic differential equations with Markovian switching
- A model for HIV transmission with two interacting high-risk groups
- Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching
- Global analysis of SIS epidemic models with variable total population size
- Environmental Brownian noise suppresses explosions in population dynamics.
- Global stability for the SEIR model in epidemiology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching
- The threshold of a stochastic SIRS epidemic model in a population with varying size
- Analysis of an epidemiological model driven by multiple noises: ergodicity and convergence rate
- Global analysis of a stochastic TB model with vaccination and treatment
- The threshold of a stochastic SIRS epidemic model with saturated incidence
- Global analysis of an epidemic model with nonmonotone incidence rate
- Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
- Use of age-stage structural models to seek optimal \textit{Wolbachia}-infected male mosquito releases for mosquito-borne disease control
- Conditions for permanence and ergodicity of certain SIR epidemic models
- A susceptible-infected epidemic model with voluntary vaccinations
- Stability on coupling SIR epidemic models with vaccination
- Stability of Markovian processes II: continuous-time processes and sampled chains
- Optimal strategy of vaccination and treatment in an SIRS model with Markovian switching
- Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
- Semi-markov decision problems and performance sensitivity analysis
- Semi-Markov processes and reliability
