Vaccine demand driven by vaccine side effects: Dynamic implications for SIR diseases

Journal of Theoretical Biology

Volumn 264, Issue 2, 2010, Pages 237-252

  d'Onofrio, Alberto ^a   Manfredi, Piero ^b  

^a EUROPEAN INSTITUTE OF ONCOLOGY   (Italy)

^b Dipartimento di Statistica e Matematica Applicata all'Economia   (Italy)

Author keywords

Delay; Information; Oscillations; Rational exemption to vaccination; Side effects; Stability; Vaccine

Indexed keywords

VACCINE;

DISEASE; EPIDEMIOLOGY; OSCILLATION; VACCINATION; VACCINE;

ARTICLE; DRUG INFORMATION; DRUG USE; HEALTH CARE NEED; HUMAN; INFECTION; INFECTION RISK; INFECTION SENSITIVITY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; RISK ASSESSMENT; SIMULATION; STATISTICAL ANALYSIS; VACCINATION REACTION;

ALGORITHMS; COMMUNICABLE DISEASES; COMPUTER SIMULATION; DISEASE OUTBREAKS; DISEASE TRANSMISSION, INFECTIOUS; HUMANS; IMMUNIZATION PROGRAMS; INCIDENCE; MODELS, THEORETICAL; RISK ASSESSMENT; VACCINATION; VACCINES;

EID: 77951652442     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2010.02.007     Document Type: Article

References (31)

1. Anderson R.M., May R.M. Infectious Diseases of Humans: Dynamics and Control 1996, Oxford University Press, Oxford.
2. Asch D.A., Baron J., Hershey J.C., Kunreuther H., Meszaros J., Ritov I., Spranca M. Omission bias and pertussis vaccination. Med. Decis. Making 1994, 14:118-123.
3. Bauch C.T. Imitation dynamics predict vaccinating behaviour. Proc. R. Soc. B 2005, 272:1669-1675.
4. Bauch C.T., Earn D.J.D. Vaccination and the theory of games. Proc. Natl. Acad. Sci. 2004, 101(36):13391-13394.
5. Berndsen, R., 2004. No epidemiological evidence for infant vaccinations to cause allergic diseases. Reply to Koppen. Vaccine 23, 1427.
6. Capasso V. The Mathematical Structure of Epidemic Systems 2008, Springer, Heidelberg, Tokyo, New York.
7. Center for Disease Control, Vaccine safety, 〈〉. http://www.cdc.gov/vaccinesafety/vaers/.
8. Chen R.T., Orenstein W.A. Epidemiologic methods in immunization programs. Epidemiol. Rev. 1996, 18(2):99-117.
9. d'Onofrio A., Manfredi P., Salinelli E. Vaccinating behaviour, information, and the dynamics of SIR vaccine preventable diseases. Theor. Popul. Biol. 2007, 71:301-317.
10. d'Onofrio A., Manfredi P., Salinelli E. Bifurcation thresholds in an SIR model with information-dependent vaccination. Math. Modelling Nat. Phenom. 2007, 2:23-38.
11. d'Onofrio A., Manfredi P., Salinelli E. Fatal SIR diseases and rational exemption to vaccination. Math. Med. Biol. 2008, 25:337-357.
12. Efimov, D.V., Fradkov, A.L., 2007. Oscillatority conditions for nonlinear systems with delay. J. Appl. Math. Article ID 72561.
13. Efimov D.V., Fradkov A.L. Yakubovich's oscillatority of circadian oscillations models. Math. Biosci. 2008, 216:187-191.
14. Efimov D.V., Fradkov A.L. Oscillatority of nonlinear systems with static feedback. SIAM J. Control Optim. 2009, 48:618-640.
15. Friederichs V., Cameron J.C., Robertson C. Impact of adverse publicity on MMR vaccine uptake: a population based analysis of vaccine uptake records for one million children. Born 1987-2004. Arch. Dis. Childhood 2006, 91(6):465-468.
16. Iannelli M., Martcheva M., Li W. Strain replacement in an epidemic model with super-infection and perfect vaccination. Math. Biosci. 2005, 211:23-46.
17. Istituto Superiore di Sanità, Surveillance of adverse events, 〈〉. http://www.iss.it/sorveglianza/.
18. Koppen S., et al. No epidemiological evidence for infant vaccinations to cause allergic diseases. Vaccine 2004, 22:3375-3385.
19. Kuang H. Delay Differential Equations with Applications in Population Dynamics 1993, Academic Press, Boston.
20. Molina V., Shoenfeld Y. Infection vaccines and other environmental triggers of autoimmunity. Autoimmunity 2005, 38(3):235-245.
21. Perisic A., Bauch C.T. Social contact networks and disease eradicability under voluntary vaccination. PLoS Comput. Biol. 2009, 5(2):e1000280. (〈www.ploscompbiol.org〉).
22. Reluga T., Bauch C., Galvani A. Evolving public perceptions and stability in vaccine uptake. Math. Biosci. 2006, 204:185-198.
23. Salmon D.A., Teret S.P., MacIntyre C.R., Salisbury D., Burgess M.A., Halsey N.A. Compulsory vaccination and conscientious or philosophical exemptions: past, present and future. Lancet 2006, 367:436-442.
24. Schattner A. Consequence or coincidence? The occurrence, pathogenesis and significance of autoimmune manifestations after viral vaccines. Vaccine 2005, 23:3876-3886.
25. Smith H.L. Monotone Dynamical Systems: An Introduction to Cooperative and Competitive Equations. AMS Monographs 1995, AMS Press, Providence, RI.
26. Smith A., Yarwood I., Salisbury D.M. Tracking mothers attitude to MMR immunisation 1996-2006. Vaccine 2007, 25:3996-4002.
27. Stiglitz J.P. Economics of the Public Sector 2000, W.W. Norton & Company, New York.
28. WHO. Immunization safety. 〈〉. http://www.who.int/immunization_safety/aefi/en/i.
29. WHO. Poliomyelitis. 〈〉. http://www.who.int/topics/poliomyelitis/en/.
30. WHO, 1999. Guidelines for managers of immunization programmes on reporting and investigating adverse events following immunization (WPRO/EPI/99.01.). WHO, Regional Office for the Western Pacific, Manila.
31. Wright J.A., Polack C. Understanding variation in measles-mumps-rubella immunization coverage-a population-based study. Eur. J. Public Health 2005, 16(2):137-142.