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The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

Increasing connectivity of communication networks enables large-scale distributed processing over networks and improves the efficiency for information exchange. However, malware and virus can take advantage of the high connectivity to…

Optimization and Control · Mathematics 2019-05-09 Yunhan Huang , Quanyan Zhu

We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe…

Physics and Society · Physics 2022-12-08 S. P. Lukyanets , I. S. Gandzha , O. V. Kliushnichenko

The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the mechanism of transmission. In this paper, we assume that the…

Dynamical Systems · Mathematics 2024-05-09 Francisco J. Muñoz , Luca Meacci , Juan Carlos Nuño , Mario Primicerio

We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism -- encompassing the replicator dynamics -- is that players belonging…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Giacomo Como , Fabio Fagnani , Lorenzo Zino

Cyber risk has become a critical financial threat in today's interconnected digital economy. This paper introduces a cyber-risk management framework for networked digital systems that combines the strategic behavior of players with…

Cryptography and Security · Computer Science 2026-01-26 Elisa Botteghi , Martino S. Centonze , Davide Pastorello , Daniele Tantari

We investigate infectious disease spreading on scale-free networks using a heterogeneous mean-field approach applied to the susceptible-infected-susceptible model, incorporating a mitigation factor. Individual heterogeneity is incorporated…

Statistical Mechanics · Physics 2026-05-12 João Gabriel Simões Delboni , M. O. Hase

An understanding of the disease spreading phenomenon based on a mathematical model is extremely needed for the implication of the correct policy measures to contain the disease propagation. Here, we report a new model namely the Ising-SIR…

Statistical Mechanics · Physics 2024-09-04 Dipak Patra

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

Optimization and Control · Mathematics 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

Complex networks have been successfully used to describe the spread of diseases in populations of interacting individuals. Conversely, pairwise interactions are often not enough to characterize social contagion processes such as opinion…

Physics and Society · Physics 2021-03-15 Iacopo Iacopini , Giovanni Petri , Alain Barrat , Vito Latora

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…

Populations and Evolution · Quantitative Biology 2020-06-17 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

The detection and management of diseases become quite complicated when pathogens contain asymptomatic phenotypes amongst their ranks, as evident during the recent COVID-19 pandemic. Spreading of diseases has been studied extensively under…

Physics and Society · Physics 2021-10-27 Saptarshi Sinha , Deep Nath , Soumen Roy

We introduce a new coordination problem in distributed computing that we call the population stability problem. A system of agents each with limited memory and communication, as well as the ability to replicate and self-destruct, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-09 Shafi Goldwasser , Rafail Ostrovsky , Alessandra Scafuro , Adam Sealfon

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…

Physics and Society · Physics 2021-10-26 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Alex Arenas , Jesús Gómez-Gardeñes

Cooperative behavior in real social dilemmas is often perceived as a phenomenon emerging from norms and punishment. To overcome this paradigm, we highlight the interplay between the influence of social networks on individuals, and the…

Physics and Society · Physics 2018-07-23 Dario Madeo , Chiara Mocenni

Epidemic spread in single-host systems strongly depends on the population's contact network. However, little is known regarding the spread of epidemics across networks representing populations of multiple hosts. We explored cross-species…

Populations and Evolution · Quantitative Biology 2017-12-06 Shai Pilosof , Gili Greenbaum , Boris R. Krasnov , Yuval R. Zelnik

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

We use the susceptible-infected-recovered (SIR) model for disease spread over a network, and empirically study how well various centrality measures perform at identifying which nodes in a network will be the best spreaders of disease on 10…

Social and Information Networks · Computer Science 2012-08-23 Brian Macdonald , Paulo Shakarian , Nicholas Howard , Geoffrey Moores