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The Ebola virus is currently one of the most virulent pathogens for humans. The latest major outbreak occurred in Guinea, Sierra Leonne and Liberia in 2014. With the aim of understanding the spread of infection in the affected countries, it…

Populations and Evolution · Quantitative Biology 2015-03-26 Amira Rachah , Delfim F. M. Torres

A major Ebola outbreak occurs in West Africa since March 2014, being the deadliest epidemic in history. As an infectious disease epidemiology, Ebola is the most lethal and is moving faster than in previous outbreaks. On 8 August 2014, the…

Optimization and Control · Mathematics 2016-09-07 Amira Rachah , Delfim F. M. Torres

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

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

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

We present a mathematical analysis of the early detection of Ebola virus. The propagation of the virus is analysed by using a Susceptible, Infected, Recovered (SIR) model. In order to provide useful predictions about the potential…

Populations and Evolution · Quantitative Biology 2016-05-24 Amira Rachah , Delfim F. M. Torres

In 2014, a major epidemic of human Ebola virus disease emerged in West Africa, where human-to-human transmission has now been been sustained for greater than 10 months. In the summer of 2014, there was great uncertainty about the answers to…

Populations and Evolution · Quantitative Biology 2014-11-03 John M. Drake , RajReni B. Kaul , Laura Alexander , Suzanne M. O'Regan , Andrew M. Kramer , J. Tomlin Pulliam , Matthew J. Ferrari , Andrew W. Park

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

The Ebola virus in West Africa has infected almost 30,000 and killed over 11,000 people. Recent models of Ebola Virus Disease (EVD) have often made assumptions about how the disease spreads, such as uniform transmissibility and homogeneous…

Populations and Evolution · Quantitative Biology 2016-10-13 Keith Burghardt , Christopher Verzijl , Junming Huang , Matthew Ingram , Binyang Song , Marie-Pierre Hasne

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

Ebola virus disease is a severe hemorrhagic fever with rapid transmission through infected fluids and surfaces. We develop a fractional-order model using Caputo derivatives to capture memory effects in disease dynamics. An eight-compartment…

Optimization and Control · Mathematics 2025-12-22 Noor Muhammad , Md. Nur Alam , Zhang Shiqing

The most recent Ebola outbreak in West Africa highlighted critical weaknesses in the medical infrastructure of the affected countries, including effective diagnostics tools, sufficient isolation wards, and enough medical personnel. Here, we…

Populations and Evolution · Quantitative Biology 2015-11-13 Diego Chowell , Muntaser Safan , Carlos Castillo-Chavez

Multiple epidemiological models have been proposed to predict the spread of Ebola in West Africa. These models include consideration of counter-measures meant to slow and, eventually, stop the spread of the disease. Here, we examine one…

Populations and Evolution · Quantitative Biology 2014-11-14 Joshua S. Weitz , Jonathan Dushoff

This paper investigates the dynamics of Ebola virus transmission in West Africa during 2014. The reproduction numbers for the total period of epidemic and for different consequent time intervals are estimated based on a newly suggested…

Populations and Evolution · Quantitative Biology 2014-12-10 Robin J. Evans , Musa Mammadov

An Ebola outbreak of unparalleled size is currently affecting several countries in West Africa, and international efforts to control the outbreak are underway. However, the efficacy of these interventions, and their likely impact on an…

Populations and Evolution · Quantitative Biology 2014-09-23 Caitlin M. Rivers , Eric T. Lofgren , Madhav Marathe , Stephen Eubank , Bryan L. Lewis

The Ebola Virus Disease (EVD) can persist in some body fluids after clinical recovery. In Guinea and the Democratic Republic of the Congo, there are well-documented cases of EVD reemergence that were associated with previous outbreaks. In…

Populations and Evolution · Quantitative Biology 2023-06-06 David Niyukuri , Kelly Joelle Gatore Sinigirira , Jean De Dieu Kwizera , Salma Omar Abd-Almageid Adam

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

As an emergent infectious disease outbreak unfolds, public health response is reliant on information on key epidemiological quantities, such as transmission potential and serial interval. Increasingly, transmission models fit to incidence…

Populations and Evolution · Quantitative Biology 2015-06-29 Aaron A. King , Matthieu Domenech de Cellès , Felicia M. G. Magpantay , Pejman Rohani

The 2014 Ebola outbreak in west Africa raised many questions about the control of infectious disease in an increasingly connected global society. Limited availability of contact information made contact tracing difficult or impractical in…

Physics and Society · Physics 2016-03-09 Vincent Wong , Daniel Cooney , Yaneer Bar-Yam

As of October 12, 2018, 211 cases of Ebola virus disease (EVD) were reported in North Kivu Province, Democratic Republic of Congo. Since the beginning of October the outbreak has largely shifted into regions in which active armed conflict…

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