Magnitude and frequency variations of vector-borne infection outbreaks using the Ross-Macdonald model: explaining and predicting outbreaks of dengue fever

Carregando...
Imagem de Miniatura
Citações na Scopus
13
Tipo de produção
article
Data de publicação
2016
Editora
CAMBRIDGE UNIV PRESS
Indexadores
Título da Revista
ISSN da Revista
Título do Volume
Autores
Autor de Grupo de pesquisa
Editores
Coordenadores
Organizadores
Citação
EPIDEMIOLOGY AND INFECTION, v.144, n.16, p.3435-3450, 2016
Projetos de Pesquisa
Unidades Organizacionais
Fascículo
Resumo
The classical Ross-Macdonald model is often utilized to model vector-borne infections; however, this model fails on several fronts. First, using measured (or estimated) parameters, which values are accepted from the literature, the model predicts a much greater number of cases than what is usually observed. Second, the model predicts a single large outbreak that is followed by decades of much smaller outbreaks, which is not consistent with what is observed. Usually towns or cities report a number of recurrences for many years, even when environmental changes cannot explain the disappearance of the infection between the peaks. In this paper, we continue to examine the pitfalls in modelling this class of infections, and explain that, if properly used, the Ross-Macdonald model works and can be used to understand the patterns of epidemics and even, to some extent, be used to make predictions. We model several outbreaks of dengue fever and show that the variable pattern of yearly recurrence (or its absence) can be understood and explained by a simple Ross-Macdonald model modified to take into account human movement across a range of neighbourhoods within a city. In addition, we analyse the effect of seasonal variations in the parameters that determine the number, longevity and biting behaviour of mosquitoes. Based on the size of the first outbreak, we show that it is possible to estimate the proportion of the remaining susceptible individuals and to predict the likelihood and magnitude of the eventual subsequent outbreaks. This approach is described based on actual dengue outbreaks with different recurrence patterns from some Brazilian regions.
Palavras-chave
Dengue, geo-spatial epidemiology, mathematical models, outbreak patterns, vectorborne infections
Referências
  1. Amaku M, 2015, EPIDEMIOL INFECT, V143, P1803, DOI 10.1017/S0950268814002660
  2. Amaku M, 2014, B MATH BIOL, V76, P697, DOI 10.1007/s11538-014-9939-5
  3. Amaku M, 2010, B MATH BIOL, V72, P1294, DOI 10.1007/s11538-009-9495-6
  4. Ball F, 2015, EPIDEMICS-NETH, V10, P63, DOI 10.1016/j.epidem.2014.08.001
  5. Bhatt S, 2013, NATURE, V496, P504, DOI 10.1038/nature12060
  6. Braga C, 2010, ACTA TROP, V113, P234, DOI 10.1016/j.actatropica.2009.10.021
  7. Burattini MN, 2008, BIOSCI HYPOTHESES, V1, P168, DOI 10.1016/J.BIHY.2008.05.003
  8. Chastel C, 2012, FRONT PHYSIOL, V3, DOI 10.3389/fphys.2012.00070
  9. Coutinho FAB, 2006, B MATH BIOL, V68, P2263, DOI 10.1007/s11538-006-9108-6
  10. Garba SM, 2008, MATH BIOSCI, V215, P11, DOI 10.1016/j.mbs.2008.05.002
  11. Gubler DJ, 2004, COMP IMMUNOL MICROB, V27, P319, DOI 10.1016/j.cimid.2004.03.013
  12. Li J, 2011, COMP MATH MATH PHYS, V2011, P527
  13. Lopez LF, 2002, CR BIOL, V325, P1073, DOI 10.1016/S1631-0691(02)01534-2
  14. Massad E, 2004, MED HYPOTHESES, V63, P911, DOI 10.1016/j.mehy.2004.03.028
  15. Massad E, 2010, TROP MED INT HEALTH, V15, P120, DOI 10.1111/j.1365-3156.2009.02413.x
  16. Monath TP, 1996, FIELD VIROL, V3, P961