The asymptotic behavior of a stochastic vaccination model with backward bifurcation
From MaRDI portal
Publication:2291013
DOI10.1016/j.apm.2016.01.045zbMath1465.92112OpenAlexW2262848063MaRDI QIDQ2291013
Publication date: 29 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2016.01.045
multiplicative noisebackward bifurcationextinction timeergodic propertyreaction diffusionstochastic vaccination model
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Medical epidemiology (92C60)
Related Items (14)
The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence ⋮ Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity ⋮ Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated treatment function ⋮ Lévy noise perturbation for an epidemic model with impact of media coverage ⋮ A generalized stochastic SIRS epidemic model incorporating mean-reverting Ornstein-Uhlenbeck process ⋮ Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise ⋮ A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control ⋮ Stochastic stability and instability of an epidemic model with relapse ⋮ Modelling the effects of cutting off infected branches and replanting on fire-blight transmission using Filippov systems ⋮ Epidemic modeling: Diffusion approximation vs. stochastic differential equations allowing reflection ⋮ Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives ⋮ A time-delayed SVEIR model for imperfect vaccine with a generalized nonmonotone incidence and application to measles ⋮ Stochastic perturbation to 2-LTR dynamical model in HIV infected patients
Cites Work
- Unnamed Item
- Unnamed Item
- Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits
- The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation
- Probability of a disease outbreak in stochastic multipatch epidemic models
- Dynamics of a multigroup SIR epidemic model with stochastic perturbation
- The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
- Global dynamics of a reaction and diffusion model for Lyme disease
- A stochastic SIRS epidemic model with infectious force under intervention strategies
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Avian-human influenza epidemic model with diffusion
- Analysis of a delayed stochastic predator-prey model in a polluted environment
- Stochastic epidemic models: new behavioral indicators of the disease spreading
- Threshold behaviour of a stochastic SIR model
- A novel time delayed HIV/AIDS model with vaccination \& antiretroviral therapy and its stability analysis
- The extinction and persistence of the stochastic SIS epidemic model with vaccination
- Modeling saturated diagnosis and vaccination in reducing HIV/AIDS infection
- Noise in ecosystems: a short review
- Stationary distribution of a stochastic SIS epidemic model with vaccination
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Complex dynamics of a reaction-diffusion epidemic model
- A model for coupling within-host and between-host dynamics in an infectious disease
- Global stability of a delayed epidemic model with latent period and vaccination strategy
- Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
- Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
- Asymptotic behavior and stability of a stochastic model for AIDS transmission
- Stochastic dynamics of SIRS epidemic models with random perturbation
- Exclusion and persistence in deterministic and stochastic chemostat models
- Population dynamics in presence of state dependent fluctuations
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- A Stochastic Differential Equation SIS Epidemic Model
- Modeling with Itô Stochastic Differential Equations
- Asymptotic Properties of Hybrid Diffusion Systems
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
This page was built for publication: The asymptotic behavior of a stochastic vaccination model with backward bifurcation