Modeling optimal age-specific vaccination strategies against pandemic influenza
- PMID: 22147102
- DOI: 10.1007/s11538-011-9704-y
Modeling optimal age-specific vaccination strategies against pandemic influenza
Abstract
In the context of pandemic influenza, the prompt and effective implementation of control measures is of great concern for public health officials around the world. In particular, the role of vaccination should be considered as part of any pandemic preparedness plan. The timely production and efficient distribution of pandemic influenza vaccines are important factors to consider in mitigating the morbidity and mortality impact of an influenza pandemic, particularly for those individuals at highest risk of developing severe disease. In this paper, we use a mathematical model that incorporates age-structured transmission dynamics of influenza to evaluate optimal vaccination strategies in the epidemiological context of the Spring 2009 A (H1N1) pandemic in Mexico. We extend previous work on age-specific vaccination strategies to time-dependent optimal vaccination policies by solving an optimal control problem with the aim of minimizing the number of infected individuals over the course of a single pandemic wave. Optimal vaccination policies are computed and analyzed under different vaccination coverages (21%-77%) and different transmissibility levels ([Formula: see text] in the range of 1.8-3). The results suggest that the optimal vaccination can be achieved by allocating most vaccines to young adults (20-39 yr) followed by school age children (6-12 yr) when the vaccination coverage does not exceed 30%. For higher [Formula: see text] levels ([Formula: see text]), or a time delay in the implementation of vaccination (>90 days), a quick and substantial decrease in the pool of susceptibles would require the implementation of an intensive vaccination protocol within a shorter period of time. Our results indicate that optimal age-specific vaccination rates are significantly associated with [Formula: see text], the amount of vaccines available and the timing of vaccination.
Similar articles
-
Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks.Math Biosci Eng. 2011 Jan;8(1):123-39. doi: 10.3934/mbe.2011.8.123. Math Biosci Eng. 2011. PMID: 21361404
-
Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza.Math Biosci Eng. 2011 Jan;8(1):141-70. doi: 10.3934/mbe.2011.8.141. Math Biosci Eng. 2011. PMID: 21361405
-
Evaluation of vaccination strategies during pandemic outbreaks.Math Biosci Eng. 2011 Jan;8(1):113-22. doi: 10.3934/mbe.2011.8.113. Math Biosci Eng. 2011. PMID: 21361403
-
Pandemic influenza A (H1N1) 2009 vaccine: an update.Indian J Med Microbiol. 2011 Jan-Mar;29(1):13-8. doi: 10.4103/0255-0857.76517. Indian J Med Microbiol. 2011. PMID: 21304188 Review.
-
Lessons from pandemic influenza A(H1N1): the research-based vaccine industry's perspective.Vaccine. 2011 Feb 1;29(6):1135-8. doi: 10.1016/j.vaccine.2010.11.042. Epub 2010 Nov 27. Vaccine. 2011. PMID: 21115061 Review.
Cited by
-
Optimal age-specific vaccination control for COVID-19: An Irish case study.PLoS One. 2023 Sep 5;18(9):e0290974. doi: 10.1371/journal.pone.0290974. eCollection 2023. PLoS One. 2023. PMID: 37669287 Free PMC article.
-
Optimality of Maximal-Effort Vaccination.Bull Math Biol. 2023 Jun 23;85(8):73. doi: 10.1007/s11538-023-01179-8. Bull Math Biol. 2023. PMID: 37351716 Free PMC article.
-
Asymptotic Analysis of Optimal Vaccination Policies.Bull Math Biol. 2023 Jan 20;85(3):15. doi: 10.1007/s11538-022-01114-3. Bull Math Biol. 2023. PMID: 36662446 Free PMC article.
-
Modeling optimal treatment strategies in a heterogeneous mixing model.Theor Biol Med Model. 2015 Nov 25;12:28. doi: 10.1186/s12976-015-0026-x. Theor Biol Med Model. 2015. PMID: 26608713 Free PMC article.
-
Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases.J Math Biol. 2019 Mar;78(4):1089-1113. doi: 10.1007/s00285-018-1303-1. Epub 2018 Nov 2. J Math Biol. 2019. PMID: 30390103
MeSH terms
Substances
LinkOut - more resources
Full Text Sources
Medical