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We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

Applications · Statistics 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

To contain the propagation of emerging diseases that are transmissible from human to human, non-pharmaceutical interventions (NPIs) aimed at reducing the interactions between humans are usually implemented. One example of the latter kind of…

Physics and Society · Physics 2021-05-21 Paulo Cesar Ventura , Alberto Aleta , Francisco Aparecido Rodrigues , Yamir Moreno

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

We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

Probability · Mathematics 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

Physics and Society · Physics 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

This paper considers a stochastic SIR (susceptible$\to$infective$\to$removed) epidemic model in which individuals may make infectious contacts in two ways, both within `households' (which for ease of exposition are assumed to have equal…

Probability · Mathematics 2015-03-13 Frank Ball , David Sirl , Pieter Trapman

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

When an infectious disease propagates throughout society, the incidence function may rise at first due to an increase in pathogenicity and then decrease due to inhibitory effects until it reaches saturation. Effective vaccination and…

Dynamical Systems · Mathematics 2023-07-11 Sushil Pathak , G. Shirisha , K. Venkata Ratnam

This paper deals with an important subject in classification problems addressed by machine learning techniques: the evaluation of the influence of each of the features on the classification of individuals. Specifically, a measure of that…

Machine Learning · Statistics 2023-04-21 L. Davila-Pena , Ignacio García-Jurado , B. Casas-Méndez

By means of the asynchronous cellular automata algorithm we study stationary states and spatial patterning in an $SIS$ model, in which the individuals' are attached to the vertices of a graph and their mobility is mimicked by varying the…

Populations and Evolution · Quantitative Biology 2016-06-22 J. M. Ilnytskyi , Y. Kozitsky , H. I. Ilnytskyi , O. Haiduchok

This research investigates the coupled dynamics of behavior and infectious disease using a mathematical model. We integrate a two-state q-voter opinion process with SIS-type infection dynamics, where transmission rates are influenced by the…

Physics and Society · Physics 2025-12-13 Thomas Goetz , Tyll Krueger , Karol Niedzielewski , Jan Schneider , Barbara Pabjan

We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we…

Physics and Society · Physics 2017-10-05 Matthieu Nadini , Kaiyuan Sun , Enrico Ubaldi , Michele Starnini , Alessandro Rizzo , Nicola Perra

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Airborne diseases, including COVID-19, raise the question of transmission risk in public transportation systems. However, quantitative analysis of the effectiveness of transmission risk mitigation methods in public transportation is…

Social and Information Networks · Computer Science 2022-02-18 Jiali Zhou , Haris N. Koutsopoulos

Infectious disease transmission dynamics are particularly sensitive to social contact patterns, and the precautions people take to limit disease transmission. It depends on the age distribution of the community. Thus, knowing the…

Populations and Evolution · Quantitative Biology 2022-04-19 Vijay Pal Bajiya , Jai Prakash Tripathi , Ranjit Kumar Upadhyay

Mathematical models are widely recognized as an important tool for analyzing and understanding the dynamics of infectious disease outbreaks, predict their future trends, and evaluate public health intervention measures for disease control…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Yukun Tan , Durward Cator , Martial Ndeffo-Mbah , Ulisses Braga-Neto

The spread of infectious diseases is often influenced by human mobility across different geographical regions. Although numerous studies have investigated how diseases like SARS and COVID-19 spread from China to various global locations,…

Social and Information Networks · Computer Science 2025-05-22 Md. Arquam , Suchi Kumari , Utkarsh Tiwari , Mohammad Al-saffar

Epidemiological models are an important tool in coping with epidemics, as they offer a forecast, even if often simplistic, of the behavior of the disease in the population. This allows responsible health agencies to organize themselves and…

Populations and Evolution · Quantitative Biology 2023-08-03 Eliza Maria Ferreira , Ricardo Edem Ferreira , Chiara Mocenni

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

Probability · Mathematics 2015-03-17 Marc Lelarge
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