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A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus

  • Marc Jornet-Sanz [1] ; A. Corberán-Vallet [1] ; F.J. Santonja [1] ; R.J. Villanueva [2]
    1. [1] Universitat de València

      Universitat de València

      Valencia, España

    2. [2] Universidad Politécnica de Valencia

      Universidad Politécnica de Valencia

      Valencia, España

  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 41, Nº. 1, 2017, págs. 159-176
  • Idioma: inglés
  • Enlaces
  • Resumen
    • Our objective in this paper is to model the dynamics of respiratory syncytial virus in the region of Valencia (Spain) and analyse the effect of vaccination strategies from a health-economic point of view. Compartmental mathematical models based on differential equations are commonly used in epidemiology to both understand the underlying mechanisms that influence disease transmission and analyse the impact of vaccination programs. However, a recently proposed Bayesian stochastic susceptible-infected-recovered-susceptible model in discrete-time provided an improved and more natural description of disease dynamics. In this work, we propose an extension of that stochastic model that allows us to simulate and assess the effect of a vaccination strategy that consists on vaccinating a proportion of newborns.

  • Referencias bibliográficas
    • Acedo, L., Dı́ez-Domingo, J., Moraño, J.A. and Villanueva, R.J. (2010). Mathematical modelling of respiratory syncytial virus (RSV): vaccination...
    • Allen, L.J. (2008). An introduction to stochastic epidemic models. In Brauer, F., van den Driessche, P. and Wu, J. (Eds.) Mathematical Epidemiology....
    • Anderson, L.J., Dormitzer, P.R., Nokes, D.J. Rappuoli, R. Roca, A. and Graham, B.S. (2013). Strategic priorities for respiratory syncytial...
    • Beeler, J.A. and Eichelberger, M.C. (2013). Influenza and respiratory syncytial virus (RSV) vaccines for infants: safety, immunogenicity,...
    • Bjørnstad, O.T., Finkenstädt, B.F. and Grenfell, B.T. (2002). Dynamics of measles epidemics: estimating scaling of transmission rates using...
    • Boys, R.J. and Giles, P.R. (2007). Bayesian inference for stochastic epidemic models with time-inhomogeneous removal rates. Journal of Mathematical...
    • Brauer, F. (2008). Compartmental models in epidemiology. In Brauer, F., van den Driessche, P. and Wu, J. (Eds.) Mathematical Epidemiology....
    • Christensen, H., Hickmana, M., Edmunds, W.J. and Trotter, C.L. (2013). Introducing vaccination against serogroup B meningococcal disease:...
    • Contreras, J.R. Vacuna contra el Virus Respiratorio Sincitial (VRS). Asociación Española de Vacunologı́a. Informe Técnico http://www.vacunas.org/vacuna-contra-el-virus-respiratorio-sincitialvrs/...
    • Corberán-Vallet, A. and Santonja, F.J. (2014). A Bayesian SIRS model for the analysis of respiratory syncytial virus in the region of Valencia,...
    • Craig, A.P., Hanger, J., Loader, J., Ellis, W.A.H., Callaghan, J., Dexter, A., Jones, D., Beagley, K.W., Timms, P. and Wilson, D.P. (2014)....
    • Dudas, R.A. and Karron, R.A. (1998). Respiratory syncytial virus vaccines. Clinical Microbiology Reviews, 11, 430–439.
    • Eilers, P.H.C., Marx, B.D. and Durban, M. (2015). Twenty years of P-splines. SORT-Statistics and Operations Research Transactions, 39, 149–186.
    • Gelman, A. (2006). Prior distributions for variance parameters in hierarchical models. Bayesian Analysis, 1, 515–533.
    • Gibson, G.J. and Renshaw, E. (1998). Estimating parameters in stochastic compartmental models using Markov chain methods. IMA Journal of Mathematics...
    • Higgings, D., Trujillo, C. and Keech, C. (2016). Advances in RSV vaccine research and development a global agenda. Vaccine, 34, 2870–2875.
    • Hogan, A.B., Glass, K., Moore, H.C. and Anderssen, R.S. (2016). Exploring the dynamics of respiratory syncytial virus (RSV) transmission in...
    • Jones, B.G., Sealy, R.E., Surman, S.L., Portner, A., Rusell, C.J., Slobod, K.S., Dormitzer, P.R., DeVincenzo, J. and Hurwitz, J.L. (2014)...
    • Lunn, D.J., Thomas, A., Best, N. and Spiegelhalter, D. (2000). WinBUGS — a Bayesian modelling framework: concepts, structure, and extensibility....
    • Ma, Z. and Li, J. (2009). Dynamical Modelling and Analysis of Epidemics. World Scientific, London.
    • O’Neill, P.D. (2002). A tutorial introduction to Bayesian inference for stochastic epidemic models using Markov chain Monte Carlo methods....
    • Parra, A., Jiménez, C., Hernández, S., Garcı́a J.E. and Cardona, A.M. (2013). Bronquiolitis: artı́culo de revisión. Neumologı́a...
    • Pérez-Breva, L., Villanueva R.J., Villanueva-Oller, J., Acedo L., Santonja F.J., et al. (2014). Optimizing strategies for meningococcal...
    • Poletti, P., Merler, S., Ajelli, M., Manfredi, P., Munywoki, P.K., Nokes, D.J. and Melegaro, A. (2015). Evaluating vaccination strategies...
    • R Development Core Team (2017). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria....
    • Rao, Y. and McCabe, B. (2016). Real-time surveillance for abnormal events: the case of influenza outbreaks. Statistics in Medicine, 35, 2206–2220.
    • Roberts, J.N., Graham, B.S., Karron, R.A., Munoz, F.M., Falsey, A.R., Anderson, L.J., Marshall, V. Kim, S. and Beeler, J.A. (2016). Challenges...
    • Soetaert, K., Petzoldt, T. and Setzer, R.W. (2010). Solving differential equations in R: Package deSolve. Journal of Statistical Software,...
    • Van Hoek, A.J., Melegarob, A., Zaghenid, E., Edmundsa, W.J. and Gayb, N. (2011). Modelling the impact of a combined varicella and zoster vaccination...
    • Vannia, T., Mendes, P., Fossa, A., Mesa-Friasa, M. and Legooda, R. (2012). Economic modelling assessment of the HPV quadrivalent vaccine in...
    • Weidemann, F., Dehnert, M., Koch, J., Wichmann, O. and Höhle, M. (2014). Modelling the epidemiological impact of rotavirus vaccination in...
    • World Health Organization. Using the Results of Modelling to Inform WHO Guidelines. http://www.who. int/kms/modelling_whoguidelines_2016/en/
    • Yu, Z., Liu, J., Wang, X., Zhu, X., Wang, D. and Han, G. (2016). Efficient vaccine distribution based on a hybrid compartmental model. PLoS...

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