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Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases affecting…

Dynamical Systems · Mathematics 2015-04-21 Marcos Marvá , Ezio Venturino , Rafael Bravo de la Parra

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19,…

The paradigm for compartment models in epidemiology assumes exponentially distributed incubation and removal times, which is not realistic in actual populations. Commonly used variations with multiple exponentially distributed variables are…

Populations and Evolution · Quantitative Biology 2021-02-10 P. Hernández , C. Pena , A. Ramos , J. J. Gómez-Cadenas

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

Contacts' temporal ordering and dynamics are crucial for understanding the transmission of infectious diseases. We introduce an interaction-driven model of an airborne disease over contact networks. We demonstrate our interaction-driven…

Social and Information Networks · Computer Science 2022-08-11 Alex Abbey , Yanir Marmor , Yuval Shahar , Osnat Mokryn

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

Physics and Society · Physics 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni

We study a simple realistic model for describing the diffusion of an infectious disease on a population of individuals. The dynamics is governed by a single functional delay differential equation, which, in the case of a large population,…

Populations and Evolution · Quantitative Biology 2020-09-28 Luca Dell'Anna

Estimating the causal effect of a time-varying public health intervention on the course of an infectious disease epidemic is an important methodological challenge. During the COVID-19 pandemic, researchers attempted to estimate the effects…

Applications · Statistics 2025-08-20 Yichi Zhang , Forrest W. Crawford

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

The duration of the infectious period is a crucial determinant of the ability of an infectious disease to spread. We consider an epidemic model that is network based and non-Markovian, containing classic Kermack-McKendrick, pairwise,…

Populations and Evolution · Quantitative Biology 2018-05-25 Robert R. Wilkinson , Kieran J. Sharkey

Epidemic models are useful tools in the fight against infectious diseases, as they allow policy makers to test and compare various strategies to limit disease transmission while mitigating collateral damage on the economy. Epidemic models…

Populations and Evolution · Quantitative Biology 2021-08-18 Joseph D. Peterson , Ronojoy Adhikari

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

The use of observational time series data to assess the impact of multi-time point interventions is becoming increasingly common as more health and activity data are collected and digitized via wearables, social media, and electronic health…

Methodology · Statistics 2020-12-01 Roy Adams , Suchi Saria , Michael Rosenblum

Real-world processes often exhibit temporal separation between actions and reactions - a characteristic frequently ignored in many modelling frameworks. Adding temporal aspects, like time delays, introduces a higher complexity of problems…

Populations and Evolution · Quantitative Biology 2025-02-04 Małgorzata Fic , Frank Bastian , Jacek Miękisz , Chaitanya S. Gokhale

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

Physics and Society · Physics 2018-10-11 Samuel V. Scarpino , Giovanni Petri

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, however, some epidemics always exhibit sporadic and recurrent…

Physics and Society · Physics 2013-11-19 Xiao-Long Peng , Michael Small , Xin-Jian Xu , Xinchu Fu

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

Optimization and Control · Mathematics 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

Predicting counterfactual distributions in complex dynamical systems is essential for scientific modeling and decision-making in domains such as public health and medicine. However, existing methods often rely on point estimates or purely…

Machine Learning · Computer Science 2025-09-15 Wenhao Mu , Zhi Cao , Mehmed Uludag , Alexander Rodríguez