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Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

种群与进化 · 定量生物学 2020-12-24 Elisa Franco

We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered…

种群与进化 · 定量生物学 2019-11-14 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

We present a systematic review of some basic results on the derivation of classical epidemiological models from simple agent-based dynamics. The evolution of large populations is coupled with the dynamics of the contact distribution,…

种群与进化 · 定量生物学 2024-10-14 Mattia Zanella

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

统计方法学 · 统计学 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

We provide an overview of Monte Carlo algorithms based on Markovian stochastic dynamics of interacting and reacting many-particle systems not in thermal equilibrium. These agent-based simulations are an effective way of introducing students…

统计力学 · 物理学 2025-07-24 Mohamed Swailem , Ulrich Dobramysl , Ruslan Mukhamadiarov , Uwe C. Täuber

The susceptible-infected-recovered (SIR) model and its variants form the foundation of our understanding of the spread of diseases. Here, each agent can be in one of three states (susceptible, infected, or recovered), and transitions…

无序系统与神经网络 · 物理学 2023-12-25 Claudia Merger , Jasper Albers , Carsten Honerkamp , Moritz Helias

The susceptible-infected-susceptible (SIS) agent-based model is usually employed in the investigation of epidemics. The model describes a Markov process for a single communicable disease among susceptible (S) and infected (I) agents.…

物理与社会 · 物理学 2016-09-28 Gilberto M. Nakamura , Alexandre S. Martinez

The study of epidemiological systems has generated deep interest in exploring the dynamical complexity of common infectious diseases driven by seasonally varying contact rates. Mathematical modeling and field observations have shown that,…

A study of changes in the transmission of a disease, in particular, a new disease like COVID-19, requires very flexible models which can capture, among others, the effects of non-pharmacological and pharmacological measures, changes in…

统计方法学 · 统计学 2026-05-07 Hristo Inouzhe , María Xosé Rodríguez-Álvarez , Lorenzo Nagar , Elena Akhmatskaya

The last decade saw the advent of increasingly realistic epidemic models that leverage on the availability of highly detailed census and human mobility data. Data-driven models aim at a granularity down to the level of households or single…

种群与进化 · 定量生物学 2011-08-10 Nicola Perra , Duygu Balcan , Bruno Gonçalves , Alessandro Vespignani

In this study we present a dynamical agent-based model to investigate the interplay between the socio-economy of and SEIRS-type epidemic spreading over a geographical area, divided to smaller area districts and further to smallest area…

物理与社会 · 物理学 2022-07-20 Jan E. Snellman , Rafael A. Barrio , Kimmo K. Kaski , Maarit J. Käpylä

In this paper, we consider an adaptive optimal control problem for an SIR/V epidemic model with human behavioral effects.We develop a model where effective management of infectious diseases are monitored by the means of non pharmaceutical…

物理与社会 · 物理学 2025-12-09 Nuruzzaman Rahat , Abid Hossain , Muntasir Alam

A plethora of prediction models of SARS-CoV-2 pandemic were proposed in the past. Prediction performances not only depend on the structure and features of the model, but also on its parametrization. Official databases are often biased due…

种群与进化 · 定量生物学 2021-09-27 Yuri Kheifetz , Holger Kirsten , Markus Scholz

A model of interacting agents, following plausible behavioral rules into a world where the Covid-19 epidemic is affecting the actions of everyone. The model works with (i) infected agents categorized as symptomatic or asymptomatic and (ii)…

多智能体系统 · 计算机科学 2021-08-23 Gianpiero Pescarmona , Pietro Terna , Alberto Acquadro , Paolo Pescarmona , Giuseppe Russo , Emilio Sulis , Stefano Terna

Agent-based simulators (ABS) are a popular epidemiological modelling tool to study the impact of various non-pharmaceutical interventions in managing an epidemic in a city (or a region). They provide the flexibility to accurately model a…

物理与社会 · 物理学 2025-10-13 Daksh Mittal , Sandeep Juneja

Many disease models focus on characterizing the underlying transmission mechanism but make simple, possibly naive assumptions about how infections are reported. In this note, we use a simple deterministic Susceptible-Infected-Removed (SIR)…

种群与进化 · 定量生物学 2019-11-28 Sang Woo Park , Benjamin M. Bolker

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions…

We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the individual susceptible populations, rather than biological…

动力系统 · 数学 2022-07-26 Robert F. Allen , Katherine Heller , Matthew A. Pons

This paper analyses an SIRS-type model for infectious diseases with account for behavioural changes associated with the simultaneous spread of awareness in the population. Two types of awareness are included into the model: private…

种群与进化 · 定量生物学 2017-02-17 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss