Explaining rapid reinfections in multiple-wave influenza outbreaks: Tristan da Cunha 1971 epidemic as a case study

Author:

Camacho Anton1,Ballesteros Sébastien12,Graham Andrea L.3,Carrat Fabrice456,Ratmann Oliver78,Cazelles Bernard19

Affiliation:

1. Laboratoire Eco-Evolution Mathématique, UMR 7625, CNRS-UPMC-ENS-AgroParisTech, 75230 Paris Cedex 05, France

2. Universidade de Lisboa, Centro de Matemática e Aplicações Fundamentais, 1649-003 Lisboa, Portugal

3. Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ 08544-2016, USA

4. UPMC—Paris 6, UMR-S 707, Paris 75012, France

5. Inserm, UMR-S 707, Paris 75012, France

6. Assistance Publique Hôpitaux de Paris, Hôpital Saint Antoine, Paris 75012, France

7. Biology Department, Duke University, Durham, NC 27708, USA

8. Department of Infectious Disease Epidemiology, Imperial College London, Norfolk Place, London W2 1PG, UK

9. UMMISCO UMI 209 IRD—UPMC, 93142 Bondy, France

Abstract

Influenza usually spreads through the human population in multiple-wave outbreaks. Successive reinfection of individuals over a short time interval has been explicitly reported during past pandemics. However, the causes of rapid reinfection and the role of reinfection in driving multiple-wave outbreaks remain poorly understood. To investigate these issues, we focus on a two-wave influenza A/H3N2 epidemic that occurred on the remote island of Tristan da Cunha in 1971. Over 59 days, 273 (96%) of 284 islanders experienced at least one attack and 92 (32%) experienced two attacks. We formulate six mathematical models invoking a variety of antigenic and immunological reinfection mechanisms. Using a maximum-likelihood analysis to confront model predictions with the reported incidence time series, we demonstrate that only two mechanisms can be retained: some hosts with either a delayed or deficient humoral immune response to the primary influenza infection were reinfected by the same strain, thus initiating the second epidemic wave. Both mechanisms are supported by previous empirical studies and may arise from a combination of genetic and ecological causes. We advocate that a better understanding and account of heterogeneity in the human immune response are essential to analysis of multiple-wave influenza outbreaks and pandemic planning.

Publisher

The Royal Society

Subject

General Agricultural and Biological Sciences,General Environmental Science,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,General Medicine

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5. Ministry of Health. 1920 Reports on public health and medical subjects No.4. Pandemic of Influenza 1918–19. London UK: His Majesty's Stationery Office. FluWeb Historical Influenza Database. See http://influenza.sph.unimelb.edu.au (accessed November 2010).

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