Vaccination control in a stochastic SVIR epidemic model

DOI10.1155/2015/271654zbMath1344.92184OpenAlexW1549718845WikidataQ35690961 ScholiaQ35690961MaRDI QIDQ308773

Grant E. Muller, Peter J. Witbooi, Garth J. Van Schalkwyk

Publication date: 6 September 2016

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/271654

zbMATH Keywords

exponential stabilitybasic reproduction numberdisease-free equilibriumstochastic SVIR model

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (14)

STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS ⋮ Persistence and stability of the disease-free equilibrium in a stochastic epidemic model with imperfect vaccine ⋮ An SEIRS epidemic model with stochastic transmission ⋮ Global analysis of a new reaction-diffusion multi-group SVEIR propagation model with time delay ⋮ Modelling optimal control of air pollution to reduce respiratory diseases ⋮ Non-pharmaceutical interventions and vaccination controls in a stochastic SIVR epidemic model ⋮ A minimum principle for stochastic control of hepatitis C epidemic model ⋮ A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control ⋮ A control treatment for a stochastic epidemic model with relapse and Crowly-Martin incidence ⋮ Random perturbations in a mathematical model of bacterial resistance: analysis and optimal control ⋮ Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters ⋮ A stochastic TB model for a crowded environment ⋮ A multilevel approach for stochastic nonlinear optimal control ⋮ Stochastic near-optimal control for drug therapy in a random viral model with cellular immune response

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