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      Conditions for transient epidemics of waterborne disease in spatially explicit systems

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          Abstract

          Waterborne diseases are a diverse family of infections transmitted through ingestion of—or contact with—water infested with pathogens. Outbreaks of waterborne infections often show well-defined spatial signatures that are typically linked to local eco-epidemiological conditions, water-mediated pathogen transport and human mobility. In this work, we apply a spatially explicit network model describing the transmission cycle of waterborne pathogens to determine invasion conditions in metacommunities endowed with a realistic spatial structure. Specifically, we aim to define conditions under which pathogens can temporarily colonize a set of human communities, thus triggering a transient epidemic outbreak. To that end, we apply generalized reactivity analysis, a recently developed methodological framework for the study of transient dynamics in ecological systems subject to external perturbations. The study of pathogen invasion is complemented by the detection of the spatial signatures associated with the perturbations to a disease-free system that are expected to be amplified the most over different time scales. Understanding the drivers of waterborne disease dynamics over time scales that are relevant to epidemic and/or endemic transmission is a crucial, cross-disciplinary challenge, as large portions of the developing world still struggle to cope with the burden of these infections.

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          Generalized Stability Theory. Part I: Autonomous Operators

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            Minimum energy and fractal structures of drainage networks

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              Cholera epidemic in Haiti, 2010: using a transmission model to explain spatial spread of disease and identify optimal control interventions.

              Haiti is in the midst of a cholera epidemic. Surveillance data for formulating models of the epidemic are limited, but such models can aid understanding of epidemic processes and help define control strategies. To predict, by using a mathematical model, the sequence and timing of regional cholera epidemics in Haiti and explore the potential effects of disease-control strategies. Compartmental mathematical model allowing person-to-person and waterborne transmission of cholera. Within- and between-region epidemic spread was modeled, with the latter dependent on population sizes and distance between regional centroids (a "gravity" model). Haiti, 2010 to 2011. Haitian hospitalization data, 2009 census data, literature-derived parameter values, and model calibration. Dates of epidemic onset and hospitalizations. The plausible range for cholera's basic reproductive number (R(0), defined as the number of secondary cases per primary case in a susceptible population without intervention) was 2.06 to 2.78. The order and timing of regional cholera outbreaks predicted by the gravity model were closely correlated with empirical observations. Analysis of changes in disease dynamics over time suggests that public health interventions have substantially affected this epidemic. A limited vaccine supply provided late in the epidemic was projected to have a modest effect. Assumptions were simplified, which was necessary for modeling. Projections are based on the initial dynamics of the epidemic, which may change. Despite limited surveillance data from the cholera epidemic in Haiti, a model simulating between-region disease transmission according to population and distance closely reproduces reported disease patterns. This model is a tool that planners, policymakers, and medical personnel seeking to manage the epidemic could use immediately.
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                Author and article information

                Journal
                R Soc Open Sci
                R Soc Open Sci
                RSOS
                royopensci
                Royal Society Open Science
                The Royal Society
                2054-5703
                May 2019
                22 May 2019
                22 May 2019
                : 6
                : 5
                : 181517
                Affiliations
                [1 ]Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano , 20133 Milano, Italy
                [2 ]Dipartimento di Scienze Ambientali, Informatica e Statistica, Università Ca’ Foscari Venezia , 30170 Venezia Mestre, Italy
                [3 ]Laboratory of Ecohydrology, Ecole Polytechnique Fédérale de Lausanne , 1015 Lausanne, Switzerland
                [4 ]Dipartimento ICEA, Università di Padova , 35131 Padova, Italy
                Author notes
                Author for correspondence: Lorenzo Mari e-mail: lorenzo.mari@ 123456polimi.it

                Electronic supplementary material is available online at https://dx.doi.org/10.6084/m9.figshare.c.4509893.

                Author information
                http://orcid.org/0000-0003-1326-9992
                http://orcid.org/0000-0001-5177-803X
                http://orcid.org/0000-0001-5872-0666
                http://orcid.org/0000-0002-2546-9548
                http://orcid.org/0000-0001-8063-9178
                Article
                rsos181517
                10.1098/rsos.181517
                6549988
                db77eacb-5589-4310-a874-f1d9fc249b95
                © 2019 The Authors.

                Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

                History
                : 21 September 2018
                : 12 March 2019
                Funding
                Funded by: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, http://dx.doi.org/10.13039/501100001711;
                Award ID: SNSF grant number 200021 172578
                Funded by: Politecnico di Milano, http://dx.doi.org/10.13039/501100006690;
                Award ID: Polisocial Award programme, project MASTR-SLS
                Funded by: European Research Council;
                Award ID: ERC Advanced Grant RINEC 22761
                Categories
                1001
                60
                87
                203
                Earth Science
                Research Article
                Custom metadata
                May, 2019

                waterborne disease transmission,spatially explicit system,multi-layer network,reactivity,generalized stability theory

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