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Ebola virus disease is a lethal human and primate disease that currently requires a particular attention from the international health authorities due to important outbreaks in some Western African countries and isolated cases in the United…

Populations and Evolution · Quantitative Biology 2015-05-13 Benjamin Ivorra , Diène Ngom , Ángel Manuel Ramos

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

The spread of Ebola virus in 2014 is unprecedented. The epidemic is still affecting West Africa, exacerbated by extraordinary socioeconomic disadvantages and health system inadequacies. With the aim of understanding, predicting, and control…

Optimization and Control · Mathematics 2015-12-24 Amira Rachah , Delfim F. M. Torres

Despite being similar in structure, functioning, and size viral pathogens enjoy very different mostly well-defined ways of life. They occupy their hosts for a few days (influenza), for a few weeks (measles), or even lifelong (HCV), which…

Populations and Evolution · Quantitative Biology 2020-05-01 Alexander Lange

Motivated by observations in sequence data of herpesviruses, we introduce a multi-locus model for the joint evolution of different genotypes in a virus population that is distributed across a population of hosts. In the model, virus…

Populations and Evolution · Quantitative Biology 2025-09-24 Raphael Eichhorn , Cornelia Pokalyuk

Motivated by recent outbreaks of the Ebola Virus, we are concerned with the role that a vector reservoir plays in supporting the spatio-temporal spread of a highly lethal disease through a host population. In our context, the reservoir is a…

Analysis of PDEs · Mathematics 2018-07-24 W. E. Fitzgibbon , J. J. Morgan

By incorporating segregated spatial domain and individual-based linkage into the SIS (susceptible-infected-susceptible) model, we investigate the coupled effects of random walk and intragroup interaction on contagion. Compared with the…

Physics and Society · Physics 2015-05-05 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Tian Qiu , Chen-Yang Zhong

Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other nonlinear phenomena in complex human and natural systems. Increasing amounts…

Much effort has been directed towards using mathematical models to understand and predict contagious disease, in particular Ebola outbreaks. Classical SIR (susceptible-infected-recovered) compartmental models capture well the dynamics of…

Populations and Evolution · Quantitative Biology 2015-12-22 Anca Radulescu , Joanna Herron

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

Coalescent theory combined with statistical modeling allows us to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. When sequences are sampled serially through…

Populations and Evolution · Quantitative Biology 2021-11-02 Michael D. Karcher , Marc A. Suchard , Gytis Dudas , Vladimir N. Minin

Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the…

Populations and Evolution · Quantitative Biology 2010-09-16 Pierre-André Noël , Bahman Davoudi , Robert C. Brunham , Louis J. Dubé , Babak Pourbohloul

Molecular phylogenetic and phylogeographic reconstructions generally assume time-homogeneous substitution processes. Motivated by computational convenience, this assumption sacrifices biological realism and offers little opportunity to…

Populations and Evolution · Quantitative Biology 2013-09-13 Filip Bielejec , Philippe Lemey , Guy Baele , Andrew Rambaut , Marc A Suchard

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

Populations and Evolution · Quantitative Biology 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

The possibility to analyze, quantify and forecast epidemic outbreaks is fundamental when devising effective disease containment strategies. Policy makers are faced with the intricate task of drafting realistically implementable policies…

Social and Information Networks · Computer Science 2015-04-07 Antonio Lima , Veljko Pejovic , Luca Rossi , Mirco Musolesi , Marta Gonzalez

A differential equations model is developed for the 2014 Ebola epidemics in Sierra Leone, Liberia, and Guinea. The model describes the dynamic interactions of the susceptible and infected populations of these countries. The model…

Populations and Evolution · Quantitative Biology 2014-10-23 Cameron Browne , Xi Huo , Pierre Magal , Moussa Seydi , Ousmanne Seydi , Glenn Webb

Epidemic spreading over populations networks has been an important subject of research for several decades, and especially during the Covid-19 pandemic. Most epidemic outbreaks are likely to create multiple mutations during their spreading…

Populations and Evolution · Quantitative Biology 2025-09-30 Aviel Ivry , Reuven Cohen , Amikam Patron

A better characterization of the early growth dynamics of an epidemic is needed to dissect the important drivers of disease transmission. We introduce a 2-parameter generalized-growth model to characterize the ascending phase of an outbreak…

Quantitative Methods · Quantitative Biology 2016-01-18 Cécile Viboud , Lone Simonsen , Gerardo Chowell

We present a comparison between two different mathematical models used in the description of the Ebola virus propagation currently occurring in West Africa. In order to improve the prediction and the control of the propagation of the virus,…

Populations and Evolution · Quantitative Biology 2017-11-06 Amira Rachah , Delfim F. M. Torres

In stopping the spread of infectious diseases, pathogen genomic data can be used to reconstruct transmission events and characterize population-level sources of infection. Most approaches for identifying transmission pairs do not account…