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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

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

Social and Information Networks · Computer Science 2019-04-16 Masaki Ogura , Junichi Harada

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

Problem Definition. Increasing costs of healthcare highlight the importance of effective disease prevention. However, decision models for allocating preventive care are lacking. Methodology/Results. In this paper, we develop a data-driven…

Machine Learning · Computer Science 2023-08-15 Mathias Kraus , Stefan Feuerriegel , Maytal Saar-Tsechansky

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

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

Metapopulation epidemic models help capture the spatial dimension of infectious disease spread by dividing heterogeneous populations into separate but interconnected communities, represented by nodes in a network. In the event of an…

Populations and Evolution · Quantitative Biology 2025-02-21 Henrik Zunker , Philipp Dönges , Patrick Lenz , Seba Contreras , Martin J. Kühn

Coalescent models are used to study the transmission dynamics of rapidly evolving pathogens from molecular sequence data obtained from infected individuals. However coalescent parameters, such as effective population size, offer limited…

Methodology · Statistics 2025-11-14 Isaac H. Goldstein , Julia A. Palacios

${\bf Background:}$ The early growth dynamics of the West African Ebola virus epidemic has been qualitatively different for Guinea, Sierra Leone and Liberia. However, it is important to understand these disparate dynamics as trends of a…

Populations and Evolution · Quantitative Biology 2014-10-21 Maria Kiskowski

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

Containing the recent West African outbreak of Ebola virus (EBOV) required the deployment of substantial global resources. Operationally, health workers and surveillance teams treated cases, collected genetic samples, and tracked case…

Populations and Evolution · Quantitative Biology 2017-12-13 Kyle B. Gustafson , Joshua L. Proctor

The 2014 epidemic of the Ebola virus is governed by a genetically diverse viral population. In the early Sierra Leone outbreak, a recent study has identified new mutations that generate genetically distinct sequence clades. Here we find…

Populations and Evolution · Quantitative Biology 2014-11-07 Marta Łuksza , Trevor Bedford , Michael Lässig

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

Public health decisions must be made about when and how to implement interventions to control an infectious disease epidemic. These decisions should be informed by data on the epidemic as well as current understanding about the transmission…

Applications · Statistics 2024-08-15 Jesse Wheeler , AnnaElaine Rosengart , Zhuoxun Jiang , Kevin Tan , Noah Treutle , Edward Ionides

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

We study the optimal control problem of maximizing the spread of an information epidemic on a social network. Information propagation is modeled as a Susceptible-Infected (SI) process and the campaign budget is fixed. Direct recruitment and…

Social and Information Networks · Computer Science 2016-02-16 Kundan Kandhway , Joy Kuri

Human mobility is one of the key factors at the basis of the spreading of diseases in a population. Containment strategies are usually devised on movement scenarios based on coarse-grained assumptions. Mobility phone data provide a unique…

Social and Information Networks · Computer Science 2013-06-20 Antonio Lima , Manlio De Domenico , Veljko Pejovic , Mirco Musolesi

The challenges posed by epidemics and pandemics are immense, especially if the causes are novel. This article introduces a versatile open-source simulation framework designed to model intricate dynamics of infectious diseases across diverse…

Multiagent Systems · Computer Science 2023-11-17 Zenin Easa Panthakkalakath , Neeraj , Jimson Mathew