Cent Eur J Public Health 2015, 23(3):227-232 | DOI: 10.21101/cejph.a4076

Mathematical Modelling of Varicella Spread in Slovakia

Jana Zibolenová1, Veronika Szabóová1, Tibor Baška1, Daniel Ševčovič2, Henrieta Hudečková1
1 Department of Public Health, Jessenius Faculty of Medicine in Martin, Comenius University in Bratislava, Martin, Slovak Republic
2 Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Bratislava, Slovak Republic

Aim: Varicella is a highly contagious disease. In Slovakia, 15,000-30,000 cases are reported annually. However, vaccination against varicella is not widely used in Slovakia. The aim of this paper is to predict the influence of vaccination administrated in different ages on the disease occurrence in different age groups.

Methods: Deterministic, age-stratified SIR (susceptible-infected-recovered) model with stable population was used for prediction of varicella spread in Slovakia.

Results: Vaccination of a group designated as 0 influences the proportion of susceptible and infected persons in all age groups, vaccination of 10 years old ones affects only the proportion of susceptible and infected individuals older than 10 years.

Conclusion: The increase of vaccination coverage should have a positive impact on the incidence of varicella in Slovakia. In case of vaccination coverage of 0 group in the range of 30-75%, it is necessary to pay attention to the protection of older children and adults.

Keywords: varicella, vaccination, mathematical modelling, Slovakia, deterministic model

Received: August 18, 2014; Revised: April 25, 2015; Accepted: April 25, 2015; Published: September 1, 2015  Show citation

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Zibolenová J, Szabóová V, Baška T, Ševčovič D, Hudečková H. Mathematical Modelling of Varicella Spread in Slovakia. Cent Eur J Public Health. 2015;23(3):227-232. doi: 10.21101/cejph.a4076. PubMed PMID: 26615655.
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References

  1. Hudečková H, ŠvihrováV.Vaccination. Martin: Osveta; 2013. (In Slovak.)
  2. Hudečková H. Practical vaccinology not only for medical students. Žilina: Lajka; 2009. (In Slovak.)
  3. Dražan D. Varicella. Pediatr Praxi. 2007;8(6):374-8. (In Czech.)
  4. Annual report of the activities of the regional public health authorities in the Slovak Republic [Internet]. Bratislava: Public HealthAuthority of the Slovak Republic; 2012 [cited 2015Apr 25].Available from: http://www.uvzsr.sk/index.php?option=com_content&view=category&layout=blog&id=25&Itemid=34. (In Slovak.)
  5. Epidemiological Information System (EPIS) [Internet]. Bratislava: Public Health Authority of the Slovak Republic; 2015 [cited 2015 Apr 25]. Available from: http://www.epis.sk/?lang=sk-SK. (In Slovak.)
  6. Keeling MJ, Rohani P. Modelling infectious diseases in humans and animals. Princeton: Princeton University Press; 2008. Go to original source...
  7. Vynnycky E, White R. An introduction to infectious disease modelling. New York: Oxford University Press; 2010.
  8. Nardone A, de Ory F, Carton M, Cohen D, van Damme P, Davidkin I, et al. The comparative sero-epidemiology of varicela zoster virus in 11 countries in the European region. Vaccine. 2007 Nov 7;25(45):7866-72. Go to original source... Go to PubMed...
  9. Brisson M, Edmunds WJ, Gay NJ, Law B, De Serres G. Modelling the impact of immunization on the epidemiology of varicella zoster virus. Epidemiol Infect. 2000 Dec;125(3):651-69. Go to original source... Go to PubMed...
  10. Mossong J, Putz L, Schneider F. Seroprevalence and force of infection of varicella-zoster virus in Luxembourg. Epidemiol Infect. 2004 Dec;132(6):1121-7. Go to original source... Go to PubMed...
  11. Matlab R2013a. Natick (MA): MathWorks; 2013.
  12. Halloran EM, Cochi SL, Lieu TA, Wharton M, Fehrs L. Theoretical epidemiologic and morbidity effects of routine varicella immunization of preschool children in the United States. Am J Epidemiol. 1994 Jul 15;140(2):81-104. Go to original source...
  13. Gidding HF, Brisson M, Macintyre CR, Burgess MA. Modelling the impact of vaccination on the epidemiology of varicella zoster virus in Australia. Aust N Z J Public Health. 2005 Dec;29(6):544-51. Go to original source... Go to PubMed...
  14. van Hoek AJ, Melegaro A, Zagheni E, Edmunds WJ, Gay N. Modelling the impact of a combined varicella and zoster vaccination programme on the epidemiology of varicella zoster virus in England. Vaccine. 2011 Mar 16;29(13):2411-20. Go to original source... Go to PubMed...
  15. van Hoek AJ, Melegaro A, Gay N, Bilcke J, Edmunds WJ. The costeffectiveness of varicella and combined varicella and herpes zoster vaccination programmes in the United Kingdom. Vaccine. 2012 Feb 1;30(6):1225-34. Go to original source... Go to PubMed...
  16. Brisson M, Edmunds WJ. Varicella vaccination in England and Wales: cost-utility analysis. Arch Dis Child. 2003 Oct;88(10):862-9. Go to original source...
  17. Schmid DS, Jumaan AO. Impact of varicella vaccine on varicella-zoster virus dynamics. Clin Microbiol Rev. 2010 Jan;23(1):202-17. Go to original source... Go to PubMed...
  18. Guris D, Jumaan AO, Mascola L, Watson BM, Zhang JX, Chaves SS, et al. Changing varicella epidemiology in active surveillance sites - United States, 1995-2005. J Infect Dis. 2008 Mar 1;197 Suppl 2:S71-5. Go to original source... Go to PubMed...
  19. Reynolds MA, Chaves SS, Harpaz R, Lopez AS, Seward JF. The impact of the varicella vaccination program on herpes zoster epidemiology in the United States: a review. J Infect Dis. 2008 Mar 1;197 Suppl 2:S224-7. Go to original source... Go to PubMed...
  20. Leung J, Harpaz R, Molinari NA, Jumaan A, Zhou F. Herpes zoster incidence among insured persons in the United States, 1993-2006: evaluation of impact of varicella vaccination. Clin Infect Dis. 2011 Feb 1;52(3):332-40. Go to original source... Go to PubMed...
  21. Malobická E, Hudečková H. Varicela. Pediatria. 2014;9(6):303-5. (In Slovak.)
  22. Leuridan E, Hens N, Hutse V, Aerts M, Van Damme P. Kinetics of maternal antibodies against rubella and varicella in infants. Vaccine. 2011 Mar 3;29(11):2222-6. Go to original source... Go to PubMed...