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While epidemiological modeling is pivotal for informing public health strategies, a fundamental trade-off limits its predictive fidelity: exact stochastic simulations are often computationally intractable for large-scale systems, whereas…

统计力学 · 物理学 2026-02-09 Cheng Ye , Zi-Song Shen , Pan Zhang

Decision-making about pandemic mitigation often relies upon simulation modelling. Models of disease transmission through networks of contacts--between individuals or between population centres--are increasingly used for these purposes.…

社会与信息网络 · 计算机科学 2021-09-15 Shenghao Yang , Priyabrata Senapati , Di Wang , Chris T. Bauch , Kimon Fountoulakis

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

物理与社会 · 物理学 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

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

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

物理与社会 · 物理学 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

物理与社会 · 物理学 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

We consider an infectious disease spreading along the edges of a network which may have significant clustering. The individuals in the population have heterogeneous infectiousness and/or susceptibility. We define the out-transmissibility of…

种群与进化 · 定量生物学 2008-05-01 Joel C. Miller

We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that several features of invasion fronts in the PDE context are also relevant to the network case.…

种群与进化 · 定量生物学 2022-10-19 Ashley Armbruster , Matt Holzer , Noah Roselli , Lena Underwood

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

Spreading is a ubiquitous process in the social, biological and technological systems. Therefore, identifying influential spreaders, which is important to prevent epidemic spreading and to establish effective vaccination strategies, is full…

物理与社会 · 物理学 2017-10-17 Senbin Yu , Liang Gao , Yi-Fan Wang , Ge Gao , Congcong Zhou , Zi-You Gao

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

物理与社会 · 物理学 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

Mathematical models of SARS-CoV-2 spread are used for guiding the design of mitigation steps aimed at containing and decelerating the contagion, and at identifying impending breaches of health care system surge capacity. The challenges of…

种群与进化 · 定量生物学 2020-06-17 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

计算机科学与博弈论 · 计算机科学 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their…

动力系统 · 数学 2024-10-24 Kathinka Frieswijk , Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Ming Cao

This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data stand for the spatial concentrations of infectious agent and…

偏微分方程分析 · 数学 2020-07-31 Wen-Bing Xu , Wan-Tong Li , Shigui Ruan

In some systems, the behavior of the constituent units can create a `context' that modifies the direct interactions among them. This mechanism of indirect modification inspired us to develop a minimal model of context-dependent spreading.…

物理与社会 · 物理学 2023-06-13 Giulio Burgio , Sergio Gómez , Alex Arenas

The global spread of pandemics is facilitated by the mobility of populations, transforming localized infections into widespread phenomena. To contain it, timely identification of influential regions that accelerate this process is…

信号处理 · 电气工程与系统科学 2025-09-15 Sudeepini Darapu , Subrata Ghosh , Dibakar Ghosh , Chittaranjan Hens , Santosh Nannuru

The identification of influential spreaders in complex networks is a popular topic in studies of network characteristics. Many centrality measures have been proposed to address this problem, but most have limitations. In this paper, a…

社会与信息网络 · 计算机科学 2019-10-08 Tao Wen , Yong Deng

The problem of targeted network immunization can be defined as the one of finding a subset of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between the cost of vaccination and the final (stationary) expected…

物理与社会 · 物理学 2015-07-10 F. Altarelli , A. Braunstein , L. Dall'Asta , J. R. Wakeling , R. Zecchina

Understanding how human mobility and information propagation influence the course of an epidemic remains a key challenge in digital epidemiology. In this work, we develop a new awareness-based, event-triggered epidemic model embedded within…

物理与社会 · 物理学 2026-05-06 Yusheng Li , Minyu Feng , Liang-jian Deng , Matjaž Perc , Jürgen Kurths