Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate

DOI10.1186/s13662-021-03347-3zbMath1494.92142OpenAlexW3155247467MaRDI QIDQ2166919

Chunxia Wang, Ramziya Rifhat, Zhi-Dong Teng

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03347-3

zbMATH Keywords

extinctionstochastic epidemic modelthreshold valuepermanence in the mean

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Medical epidemiology (92C60)

Related Items

SIRVVD model-based verification of the effect of first and second doses of COVID-19/SARS-CoV-2 vaccination in Japan ⋮ Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative ⋮ Analysis of a stochastic SVIR model with time‐delayed stages of vaccination and Lévy jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
• Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
• The threshold of a stochastic SIS epidemic model with vaccination
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• The dynamical behaviors in a stochastic SIS epidemic model with nonlinear incidence
• A comparison of three different stochastic population models with regard to persistence time
• Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence
• A generalization of the Kermack-McKendrick deterministic epidemic model
• The threshold of a stochastic SIVS epidemic model with nonlinear saturated incidence
• Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine
• The extinction and persistence of the stochastic SIS epidemic model with vaccination
• A stochastic SIRS epidemic model with nonlinear incidence rate
• Stationary distribution and dynamic behaviour of a stochastic SIVR epidemic model with imperfect vaccine
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stationary distribution of a stochastic SIS epidemic model with vaccination
• Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps
• The dynamics of COVID-19 with quarantined and isolation
• SIR epidemic model with Mittag-Leffler fractional derivative
• Analysis of the stochastic model for predicting the novel coronavirus disease
• The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence
• Persistence and extinction for an age-structured stochastic SVIR epidemic model with generalized nonlinear incidence rate
• Stability analysis and numerical solutions of fractional order HIV/AIDS model
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Global analysis of an epidemic model with nonmonotone incidence rate
• Stochastic epidemic models with a backward bifurcation
• Stochastic dynamics of SIRS epidemic models with random perturbation
• A Stochastic Differential Equation SIS Epidemic Model
• An Introduction to Stochastic Epidemic Models
• A strong law of large numbers for local martingales
• Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes