2013
DOI: 10.1371/journal.pone.0072168
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Spatiotemporal Infectious Disease Modeling: A BME-SIR Approach

Abstract: This paper is concerned with the modeling of infectious disease spread in a composite space-time domain under conditions of uncertainty. We focus on stochastic modeling that accounts for basic mechanisms of disease distribution and multi-sourced in situ uncertainties. Starting from the general formulation of population migration dynamics and the specification of transmission and recovery rates, the model studies the functional formulation of the evolution of the fractions of susceptible-infected-recovered indi… Show more

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Cited by 44 publications
(36 citation statements)
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“…A notable exception is the agent-based model proposed by Chao et al (2011), which, however, was not calibrated against data but relied on parameter values taken from literature. Other possible approaches to model stochasticity in disease transmission are the use of Langevin-type differential equations (Azaele et al 2010;Mukandavire et al 2013) or of spatiotemporal random fields which account for multiple sources of uncertainty (Angulo et al 2012(Angulo et al , 2013.…”
Section: Introductionmentioning
confidence: 99%
“…A notable exception is the agent-based model proposed by Chao et al (2011), which, however, was not calibrated against data but relied on parameter values taken from literature. Other possible approaches to model stochasticity in disease transmission are the use of Langevin-type differential equations (Azaele et al 2010;Mukandavire et al 2013) or of spatiotemporal random fields which account for multiple sources of uncertainty (Angulo et al 2012(Angulo et al , 2013.…”
Section: Introductionmentioning
confidence: 99%
“…Average annual spatial distributions of meteorological factors are important estimators, and the acquisition of accurate estimated values within the studied area is a prerequisite for building regression model of the relationship between the distribution of multivariate meteorological factors and historical disaster-related losses. Some studies have focused on finding the potential distribution regularity of meteorological factors in different regions or the laws governing the spread of infectious diseases by integrating hard data and soft data into a BME framework [22]. These studies show that meteorological factors not only are suitable regionalized variables but also are correlated with other variables and if these other variables are not taken into consideration, more accurate estimates cannot be made.…”
Section: Discussionmentioning
confidence: 99%
“…The BME approach has been applied to a variety of studies with considerable success [18,22,25,[37][38][39][40][41]. We implement the BME estimation for the distribution of seven meteorological factors by using the BMElib suite of functions in Matlab [39].…”
Section: Bme Methodologymentioning
confidence: 99%
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“…This is the SIR model framework used as the conceptual backbone for much of the mechanistic modeling of infectious disease in humans [4]. Generating forecasts or inference in real-world systems may require integration of demography, as well as environmental variability and stochasticity into this conceptual model [5][6][7][8][9][10]. The oft-cited threshold parameter (R 0 ), describing the likely number of newly infected individuals generated by the introduction of a single infected host into a --54 Shannon L. LADEAU and Barbara A. HAN pool of susceptibles, is derived from this conceptual model [11,12].…”
Section: Fundamental Principlesmentioning
confidence: 99%