Imperfect vaccine and hysteresis
- 9 January 2019
- journal article
- research article
- Published by The Royal Society in Proceedings. Biological sciences
- Vol. 286 (1894), 20182406
- https://doi.org/10.1098/rspb.2018.2406
Abstract
Addressing vaccine compliance problems is of particular relevance and significance to public health. Despite resurgence of vaccine-preventable diseases and public awareness of vaccine importance, why is it so challenging to boost population vaccination coverage to desired levels especially in the wake of declining vaccine uptake? To understand this puzzling phenomenon, here we study how social imitation dynamics of vaccination can be impacted by the presence of imperfect vaccine, which only confers partial protection against the disease. Besides weighing the perceived cost of vaccination with the risk of infection, the effectiveness of vaccination is also an important factor driving vaccination decisions. We discover that there can exist multiple stable vaccination equilibria if vaccine efficacy is below a certain threshold. Furthermore, our bifurcation analysis reveals the occurrence of hysteresis loops of vaccination rate with respect to changes in the perceived vaccination cost as well as in the vaccination effectiveness. Moreover, we find that hysteresis is more likely to arise in spatial populations than in well-mixed populations, even for parameter choices that do not allow for bifurcation in the latter. Our work shows that hysteresis can appear as an unprecedented roadblock for the recovery of vaccination uptake, thereby helping explain the persistence of vaccine compliance problem.Keywords
Funding Information
- Dartmouth Faculty Startup Funds
- G. Norman Albree Trust Fund
This publication has 73 references indexed in Scilit:
- Measles Elimination Efforts and 2008–2011 Outbreak, FranceEmerging Infectious Diseases, 2013
- The influence of altruism on influenza vaccination decisionsJournal of The Royal Society Interface, 2012
- Metapopulation dynamics of rabies and the efficacy of vaccinationProceedings. Biological sciences, 2010
- Imitation dynamics of vaccination behaviour on social networksProceedings. Biological sciences, 2010
- Estimation of measles vaccine efficacy and critical vaccination coverage in a highly vaccinated populationJournal of The Royal Society Interface, 2010
- The spread of awareness and its impact on epidemic outbreaksProceedings of the National Academy of Sciences of the United States of America, 2009
- Integrating epidemiology, psychology, and economics to achieve HPV vaccination targetsProceedings of the National Academy of Sciences of the United States of America, 2008
- Can Influenza Epidemics Be Prevented by Voluntary Vaccination?PLoS Computational Biology, 2007
- Long-standing influenza vaccination policy is in accord with individual self-interest but not with the utilitarian optimumProceedings of the National Academy of Sciences of the United States of America, 2007
- Exact stochastic simulation of coupled chemical reactionsThe Journal of Physical Chemistry, 1977