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Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

种群与进化 · 定量生物学 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman

Our recent experience with the COVID-19 pandemic amply shows that spatial effects like the mobility of agents and average interpersonal distance, together with the adaptation of agents, are very important in deciding the outcome of epidemic…

物理与社会 · 物理学 2025-01-13 Akhil Panicker , V Sasidevan

The spreading dynamics of an epidemic and the collective behavioral pattern of the population over which it spreads are deeply intertwined and the latter can critically shape the outcome of the former. Motivated by this, we design a…

种群与进化 · 定量生物学 2021-08-25 Mengbin Ye , Lorenzo Zino , Alessandro Rizzo , Ming Cao

In this paper, we present a discrete-time networked SEIR model using population flow, its derivation, and assumptions under which this model is well defined. We identify properties of the system's equilibria, namely the healthy states. We…

系统与控制 · 电气工程与系统科学 2021-04-16 Brooks Butler , Ciyuan Zhang , Ian Walter , Nishant Nair , Raphael Stern , Philip E. Paré

We investigate an SIR model of epidemic propagation on networks in the context of mean-field games. In a real epidemic, individuals adjust their behavior depending on the epidemic level and the impact it might have on them in the future.…

物理与社会 · 物理学 2025-01-27 Louis Bremaud , Olivier Giraud , Denis Ullmo

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

概率论 · 数学 2019-03-28 Pierre Montagnon

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

In this paper, we study how interactions between populations impact epidemic spread. We extend the classical SEIR model to include both integration-based disease transmission simulation and population flow. Our model differs from existing…

物理与社会 · 物理学 2021-07-02 Lauren Streitmatter , Peter Zhang

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

物理与社会 · 物理学 2021-07-26 Hugo Dolan , Riccardo Rastelli

We review research papers which use game theory to model the decision making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field. We show that the literature can be…

种群与进化 · 定量生物学 2020-02-13 Sheryl L. Chang , Mahendra Piraveenan , Philippa Pattison , Mikhail Prokopenko

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…

概率论 · 数学 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

This paper focuses on studying and understanding of stochastic dynamics in population composition when the population is subject to rumor spreading. We undertake the study by first developing an individual…

物理与社会 · 物理学 2020-03-03 Lan Di , Yudi Gu , Guoqi Qian , George Xianzhi Yuan

Given the ongoing Covid-19 pandemic, it is of interest to understand how the infections spread as the combined result of measures taken by central planners (governments) and individual behavior. In this work, the spread of Covid-19 is…

种群与进化 · 定量生物学 2021-10-01 Sushant Vijayan

This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual's decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every…

多智能体系统 · 计算机科学 2020-04-28 Changliu Liu

The design of coherent and efficient policies to address infectious diseases and their consequences requires to model not only epidemics dynamics, but also individual behaviors, as the latter has a strong influence on the former. In our…

物理与社会 · 物理学 2024-04-16 Louis Bremaud , Olivier Giraud , Denis Ullmo

We investigate a cyclic game system where organisms face an epidemic beyond being threatened by natural enemies. As a survival strategy, individuals of one out of the species usually safeguard themselves by approaching the enemies of their…

种群与进化 · 定量生物学 2023-01-09 J. Menezes , B. Ferreira , E. Rangel , B. Moura

Large-scale crises, including wars and pandemics, have repeatedly shaped human history, and their simultaneous occurrence presents profound challenges to societies. Understanding the dynamics of epidemic spread during warfare is essential…

定量方法 · 定量生物学 2025-07-23 Adi Shuchami , Teddy Lazebnik

Current efforts of modelling COVID-19 are often based on the standard compartmental models such as SEIR and their variations. As pre-symptomatic and asymptomatic cases can spread the disease between populations through travel, it is…

物理与社会 · 物理学 2020-10-06 Xiaoye Ding , Shenyang Huang , Abby Leung , Reihaneh Rabbany

We study a multi-type SIR epidemic process among a heterogeneous population that interacts through a network. When we base social contact on a random graph with given vertex degrees, we give limit theorems on the fraction of infected…

物理与社会 · 物理学 2021-11-02 Hamed Amini , Andreea Minca

Emerging applications in engineering such as crowd-sourcing and (mis)information propagation involve a large population of heterogeneous users or agents in a complex network who strategically make dynamic decisions. In this work, we…

计算机科学与博弈论 · 计算机科学 2015-03-30 Yezekael Hayel , Quanyan Zhu