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Contact tracing is an important control strategy for containing Ebola epidemics. From a theoretical perspective, explicitly incorporating contact tracing with disease dynamics presents challenges, and population level effects of contact…

Populations and Evolution · Quantitative Biology 2015-11-10 Cameron Browne , Hayriye Gulbudak , Glenn Webb

A model of an Ebola epidemic is developed with infected individuals structured according to disease age. The transmission of the infection is tracked by disease age through an initial incubation (exposed) phase, followed by an infectious…

Populations and Evolution · Quantitative Biology 2015-04-03 G. F. Webb , C. J. Browne

The Ebola virus is spreading throughout West Africa and is causing thousands of deaths. In order to quantify the effectiveness of different strategies for controlling the spread, we develop a mathematical model in which the propagation of…

Populations and Evolution · Quantitative Biology 2015-07-22 L. D. Valdez , H. H. A. Rêgo , H. E. Stanley , L. A. Braunstein

We explore the role of cellular life cycles for viruses and host cells in an infection process. For this purpose, we derive a generalized version of the basic model of virus dynamics (Nowak, M.A., Bangham, C.R.M., 1996. Population dynamics…

Populations and Evolution · Quantitative Biology 2008-04-28 Daniel Campos , Vicenç Méndez , Sergei Fedotov

Ebola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious-Recovered (SEIR) models. By using mathematical modeling and analysis, the latest major outbreak…

Populations and Evolution · Quantitative Biology 2017-08-01 Amira Rachah , Delfim F. M. Torres

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…

We develop a theoretical approach that uses physiochemical kinetics modelling to describe cell population dynamics upon progression of viral infection in cell culture, which results in cell apoptosis (programmed cell death) and necrosis…

Quantitative Methods · Quantitative Biology 2016-12-30 Sergii Domanskyi , Joshua E. Schilling , Vyacheslav Gorshkov , Sergiy Libert , Vladimir Privman

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

The role of direct cell-to-cell spread in viral infections - where virions spread between host and susceptible cells without needing to be secreted into the extracellular environment - has come to be understood as essential to the dynamics…

Quantitative Methods · Quantitative Biology 2024-05-21 Thomas Williams , James M. McCaw , James Osborne

The Ebola epidemic in West Africa is the largest ever recorded, with over 27,000 cases and 11,000 deaths as of June 2015. The public health response was challenged by difficulties with disease surveillance, which impacted subsequent…

Populations and Evolution · Quantitative Biology 2015-08-07 Marisa C. Eisenberg , Joseph N. S. Eisenberg , Jeremy P. D'Silva , Eden V. Wells , Sarah Cherng , Yu-Han Kao , Rafael Meza

Background: The 2014 Ebola outbreak in West Africa was the largest on record, resulting in over 25,000 total infections and 15,000 total deaths. Mathematical modeling can be used to investigate the mechanisms driving transmission during…

Populations and Evolution · Quantitative Biology 2017-09-22 Michael A. L. Hayashi , Marisa C. Eisenberg

Recent outbreaks of monkeypox and Ebola, and worrying waves of COVID-19, influenza and respiratory syncytial virus, have all led to a sharp increase in the use of epidemiological models to estimate key epidemiological parameters. The…

Populations and Evolution · Quantitative Biology 2023-12-01 B. K. M. Case , Jean-Gabriel Young , Laurent Hébert-Dufresne

This study introduces the Supervised Magnitude-Altitude Scoring (SMAS) methodology, a machine learning-based approach, for analyzing gene expression data obtained from nonhuman primates (NHPs) infected with Ebola virus (EBOV). We utilize a…

Genomics · Quantitative Biology 2024-08-13 Mostafa Rezapour , Muhammad Khalid Khan Niazi , Hao Lu , Aarthi Narayanan , Metin Nafi Gurcan

We formulate a two-patch mathematical model for Ebola Virus Disease dynamics in order to evaluate the effectiveness of \textit{cordons sanitaires}, mandatory movement restrictions between communities while exploring their role on disease…

Populations and Evolution · Quantitative Biology 2015-10-27 Baltazar Espinoza , Victor Moreno , Derdei Bichara , Carlos Castillo-Chavez

In this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola…

Dynamical Systems · Mathematics 2019-08-23 E. Okyere , J. D. Ankamah , A. K. Hunkpe , D. Mensah

The vast majority of models for the spread of communicable diseases are parametric in nature and involve underlying assumptions about how the disease spreads through a population. In this article we consider the use of Bayesian…

Methodology · Statistics 2017-06-12 Theodore Kypraios , Philip D. O'Neill

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

Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to investigate the transmission and spread of infectious…

Besides mimicking bio-chemical and multi-scale communication mechanisms, molecular communication forms a theoretical framework for virus infection processes. Towards this goal, aerosol and droplet transmission has recently been modeled as a…

Information Theory · Computer Science 2021-01-29 Peter Adam Hoeher , Martin Damrath , Sunasheer Bhattacharjee , Max Schurwanz

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar