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We use a popular fictional disease, zombies, in order to introduce techniques used in modern epidemiology modelling, and ideas and techniques used in the numerical study of critical phenomena. We consider variants of zombie models, from…

Populations and Evolution · Quantitative Biology 2016-06-14 Alexander A. Alemi , Matthew Bierbaum , Christopher R. Myers , James P. Sethna

Mathematical models are established tools to assist in outbreak response. They help characterise complex patterns in disease spread, simulate control options to assist public health authorities in decision-making, and longer-term…

In this research, we study the propagation patterns of epidemic diseases such as the COVID-19 coronavirus, from a mathematical modeling perspective. The study is based on an extensions of the well-known susceptible-infected-recovered (SIR)…

Populations and Evolution · Quantitative Biology 2021-01-01 Reza Sameni

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

Populations and Evolution · Quantitative Biology 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national levels. Currently, the epidemic…

Applications · Statistics 2015-08-27 Le Bao , Xiaoyue Niu , Mary Mahy , Peter D. Ghys

Modeling and simulation approaches for infectious disease dynamics have proven to be essential tools for effective control of the spread of epidemics in the population. Among these approaches, it is obvious that compartmental mathematical…

Populations and Evolution · Quantitative Biology 2024-11-08 Selain K. Kasereka

The paper researches the problem of representation learning for electronic health records. We present the patient histories as temporal sequences of diseases for which embeddings are learned in an unsupervised setup with a transformer-based…

Computers and Society · Computer Science 2023-11-08 Pavel Blinov , Vladimir Kokh

We propose a compartmental mathematical model for the spread of the COVID-19 disease, showing its usefulness with respect to the pandemic in Portugal, from the first recorded case in the country till the end of the three states of…

Populations and Evolution · Quantitative Biology 2020-11-30 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

The data for the Ebola outbreak that occurred in 2014-2016 in three countries of West Africa are analysed within a common framework. The analysis is made using the results of an agent based Susceptible-Infected-Removed (SIR) model on a…

Physics and Society · Physics 2017-02-02 Abdul Khaleque , Parongama Sen

Health-policy planning requires evidence on the burden that epidemics place on healthcare systems. Multiple, often dependent, datasets provide a noisy and fragmented signal from the unobserved epidemic process including transmission and…

Applications · Statistics 2024-09-11 Alice Corbella , Anne M Presanis , Paul J Birrell , Daniela De Angelis

The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick. Its usefulness derives largely from its conceptual and mathematical…

Populations and Evolution · Quantitative Biology 2015-09-03 Joel C. Miller , Anja C. Slim , Erik M. Volz

Insect outbreaks are biotic disturbances in forests and agroecosystems that cause economic and ecological damage. This phenomenon depends on a variety of biological and physical factors. The complexity and practical importance of the issue…

Quantitative Methods · Quantitative Biology 2022-09-07 Gabriel R. Palma , Wesley A. C. Godoy , Eduardo Engel , Douglas Lau , Edgar Galvan , Oliver Mason , Charles Markham , Rafael A. Moral

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

Epidemiologists aiming to model the dynamics of global events face a significant challenge in identifying the factors linked with anomalies such as disease outbreaks. In this paper, we present a novel method for identifying the most…

Machine Learning · Computer Science 2021-09-20 Aboli Marathe , Saloni Parekh , Harsh Sakhrani

Aedes aegypti is a known vector of Dengue, Chikungunya and Zika and the goal of this study is to propose the first mathematical model to describe the dynamic transmission of these three diseases. We present two preliminary models that…

Populations and Evolution · Quantitative Biology 2016-06-28 Raul Isea , Karl E Lonngren

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

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreading of infectious diseases. In network epidemiology represents the contact structure as a network of nodes (individuals)…

Populations and Evolution · Quantitative Biology 2014-06-10 Petter Holme

Pandemic management requires that scientists rapidly formulate and analyze epidemiological models in order to forecast the spread of disease and the effects of mitigation strategies. Scientists must modify existing models and create novel…

Programming Languages · Computer Science 2022-10-12 Sophie Libkind , Andrew Baas , Micah Halter , Evan Patterson , James Fairbanks

The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a…

Populations and Evolution · Quantitative Biology 2021-02-24 Dimiter Prodanov

We introduce a methodology to guarantee safety against the spread of infectious diseases by viewing epidemiological models as control systems and by considering human interventions (such as quarantining or social distancing) as control…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Andrew W. Singletary , Gabor Orosz , Aaron D. Ames
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