Modelling the spatial-temporal progression of the  2009 A/H1N1 influenza  pandemic in Chile

Raimund Bürger; Gerardo  Chowell; Pep  Mulet; Luis M.  Villada

doi:10.3934/mbe.2016.13.43

Article Contents

2016, Volume 13, Issue 1: 43-65. Doi: 10.3934/mbe.2016.13.43

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Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile

1.
CI²MA and Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción
2.
School of Public Health, Georgia State University, Atlanta, Georgia
3.
Departament de Matemàtica Aplicada, Universitat de València, Av. Dr. Moliner 50, E-46100 Burjassot
4.
GIMNAP-Departamento de Matemáticas, Universidad del Bío-Bío, Casilla 5-C, Concepción

Received: July 2014

Revised: July 2015

Published: September 2015

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Abstract

A spatial-temporal transmission model of 2009 A/H1N1 pandemic influenza across Chile, a country that spans a large latitudinal range, is developed to characterize the spatial variation in peak timing of that pandemic as a function of local transmission rates, spatial connectivity assumptions for Chilean regions, and the putative location of introduction of the novel virus into the country. Specifically, a metapopulation SEIR (susceptible-exposed-infected-removed) compartmental model that tracks the transmission dynamics of influenza in 15 Chilean regions is calibrated. The model incorporates population mobility among neighboring regions and indirect mobility to and from other regions via the metropolitan central region (``hub region''). The stability of the disease-free equilibrium of this model is analyzed and compared with the corresponding stability in each region, concluding that stability may occur even with some regions having basic reproduction numbers above 1. The transmission model is used along with epidemiological data to explore potential factors that could have driven the spatial-temporal progression of the pandemic. Simulations and sensitivity analyses indicate that this relatively simple model is sufficient to characterize the south-north gradient in peak timing observed during the pandemic, and suggest that south Chile observed the initial spread of the pandemic virus, which is in line with a retrospective epidemiological study. The ``hub region'' in our model significantly enhanced population mixing in a short time scale.

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Mathematics Subject Classification: Primary: 92D30; Secondary: 97M60.

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