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When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

Physics and Society · Physics 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

For maximizing influence spread in a social network, given a certain budget on the number of seed nodes, we investigate the effects of selecting and activating the seed nodes in multiple phases. In particular, we formulate an appropriate…

Social and Information Networks · Computer Science 2015-02-24 Swapnil Dhamal , Prabuchandran K. J. , Y. Narahari

Random links between otherwise distant nodes can greatly facilitate the propagation of disease or information, provided contagion can be transmitted by a single active node. However we show that when the propagation requires simultaneous…

Physics and Society · Physics 2012-02-10 Damon Centola , Michael W. Macy , Victor M. Eguiluz

This survey presents the main results achieved for the influence maximization problem in social networks. This problem is well studied in the literature and, thanks to its recent applications, some of which currently deployed on the field,…

Social and Information Networks · Computer Science 2018-06-21 Giuseppe De Nittis , Nicola Gatti

Understanding the spread of infectious diseases requires integrating movement, physical constraints, and spatial configurations into epidemiological models. In this study, we investigate how particle diffusivity, hardcore interactions, and…

Other Condensed Matter · Physics 2025-06-17 Kaito Takahashi , Makiko Sasada , Takuma Akimoto

Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Juntao Chen , Yunhan Huang , Rui Zhang , Quanyan Zhu

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

In this letter we propose a method for sparse allocation of resources to control spreading processes -- such as epidemics and wildfires -- using convex optimization, in particular exponential cone programming. Sparsity of allocation has…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Vera L. J. Somers , Ian R. Manchester

In this article, we study the optimization of resource distributions in a one-dimensional logistic diffusive model. The goal is to determine a distribution on a bounded one-dimensional domain that maximizes the total population at…

Analysis of PDEs · Mathematics 2025-11-21 Junyoung Heo , Yubin Lee

In this paper, we analyze the quality of a large class of simple dynamic resource allocation (DRA) strategies which we name priority planning. Their aim is to control an undesired diffusion process by distributing resources to the…

Optimization and Control · Mathematics 2014-07-18 Kevin Scaman , Argyris Kalogeratos , Nicolas Vayatis

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

Epidemic spreading and cascading failure are two important dynamical processes over complex networks. They have been investigated separately for a long history. But in the real world, these two dynamics sometimes may interact with each…

Physics and Society · Physics 2015-06-19 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu

The spread of an epidemic is often modeled by an SIR random process on a social network graph. The MinINF problem for optimal social distancing involves minimizing the expected number of infections, when we are allowed to break at most $B$…

Data Structures and Algorithms · Computer Science 2022-02-18 Amy Babay , Michael Dinitz , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for…

Statistical Mechanics · Physics 2009-11-10 L. M. Sander , C. P. Warren , I. M. Sokolov

Using network-based information to facilitate information spreading is an essential task for spreading dynamics in complex networks, which will benefit the promotion of technical innovations, healthy behaviors, new products, etc. Focusing…

Physics and Society · Physics 2016-06-20 Lei Gao , Wei Wang , Liming Pan , Ming Tang , Hai-Feng Zhang

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

Physics and Society · Physics 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

Epidemic-like spreading processes on top of multilayered interconnected complex networks reveal a rich phase diagram of intertwined competition effects. A recent study by the authors [Granell et al. Phys. Rev. Lett. 111, 128701 (2013)]…

Physics and Society · Physics 2014-07-16 Clara Granell , Sergio Gomez , Alex Arenas
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