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Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

Infectious disease transmission in human populations has a complex two-way interaction with changes in host behaviour. It is increasingly recognised that incorporating adaptive behavioural change into epidemic models is important for…

种群与进化 · 定量生物学 2026-04-14 Michael J. Plank , Matt Ryan , Lloyd Chapman , Roslyn I. Hickson , Thomas House , Emma McBryde , James M. McCaw

It is well recognized that population heterogeneity plays an important role in the spread of epidemics. While individual variations in social activity are often assumed to be persistent, i.e. constant in time, here we discuss the…

种群与进化 · 定量生物学 2021-02-22 Alexei V. Tkachenko , Sergei Maslov , Tong Wang , Ahmed Elbanna , George N. Wong , Nigel Goldenfeld

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

The contact structure of the population shapes the progression of epidemics. Nonetheless, the joint evolution of individual behavioral adaptations and disease dynamics on networks remains poorly understood. We use a…

物理与社会 · 物理学 2025-08-27 Baltazar Espinoza , Jimmy Calvo-Monge , Fabio Sanchez , Simon A. Levin , Madhav Marathe

The behaviour of individuals is a main actor in the control of the spread of a communicable disease and, in turn, the spread of an infectious disease can trigger behavioural changes in a population. Here, we study the emergence of the…

物理与社会 · 物理学 2021-10-26 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Alex Arenas , Jesús Gómez-Gardeñes

We present a generic epidemic model with stochastic parameters, in which the dynamics self-organize to a critical state with suppressed exponential growth. More precisely, the dynamics evolve into a quasi-steady-state, where the effective…

适应与自组织系统 · 物理学 2021-06-16 Gil Ariel , Yoram Louzoun

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

种群与进化 · 定量生物学 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

动力系统 · 数学 2025-11-27 Christian Parkinson , Weinan Wang

The recent pandemic emphasized the need to consider the role of human behavior in shaping epidemic dynamics. In particular, it is necessary to extend beyond the classical epidemiological structures to fully capture the interplay between the…

动力系统 · 数学 2025-01-22 Leah LeJeune , Navid Ghaffarzadegan , Lauren Childs , Omar Saucedo

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

种群与进化 · 定量生物学 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel

To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of individuals or groups of individuals with given health state…

Studies about epidemic modelling have been conducted since before 19th century. Both deterministic and stochastiic model were used to capture the dynamic of infection in the population. The purpose of this project is to investigate the…

种群与进化 · 定量生物学 2018-03-06 Kurnia Susvitasari

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from…

种群与进化 · 定量生物学 2023-09-25 Krishna Dasaratha

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…

物理与社会 · 物理学 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

种群与进化 · 定量生物学 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

We analyze four models of epidemic spreading using a stochastic approach in which the primary stochastic variables are the numbers of individuals in each class. The stochastic approach is described by a master equation and the transition…

统计力学 · 物理学 2020-10-28 Tânia Tomé , Mário J. de Oliveira

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…

统计方法学 · 统计学 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

机器学习 · 统计学 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari
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