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We present and analyze an actively controlled Susceptible-Infected-Susceptible (actSIS) model of interconnected populations to study how risk aversion strategies, such as social distancing, affect network epidemics. A population using a…

Populations and Evolution · Quantitative Biology 2024-10-18 Anastasia Bizyaeva , Marcela Ordorica Arango , Yunxiu Zhou , Simon Levin , Naomi Ehrich Leonard

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi Zhao

We derive an analytical expression for the critical infection rate r_c of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain r_c, we first calculate the probability of reinfection, pi, defined…

Disordered Systems and Neural Networks · Physics 2010-07-16 Roni Parshani , Shai Carmi , Shlomo Havlin

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas

Case isolation, that is, detection and isolation of infected individuals in order to prevent spread, is a strategy to curb infectious disease epidemics. Here, we study the efficiency of a case isolation strategy subject to time delays in…

Optimization and Control · Mathematics 2022-09-20 Jonas Hansson , Alain Govaert , Richard Pates , Emma Tegling , Kristian Soltesz

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii

We first generalise ideas discussed by Kiss et al. (2015) to prove a theorem for generating exact closures (here expressing joint probabilities in terms of their constituent marginal probabilities) for susceptible-infectious-removed (SIR)…

Populations and Evolution · Quantitative Biology 2015-04-27 Kieran J Sharkey , Robert R Wilkinson

Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or information diffusion process. A common approach to imbue more…

Dynamical Systems · Mathematics 2025-11-18 Eugene Tan , Michael Small , Shannon D. Algar

We explore a rigorous formulation of agent-based SIR epidemic dynamics as a discrete-state Markov process, capturing the stochastic propagation of infection or an invading agent on networks. Using indicator functions and corresponding…

Physics and Society · Physics 2026-01-14 A. Y. Klimenko , A. Rozycki , Y. Lu

The challenges presented by the COVID-19 epidemic have created a renewed interest in the development of new methods to combat infectious diseases. A prominent property of the SARS-CoV-2 transmission is the significant fraction of…

Physics and Society · Physics 2021-12-08 Lorenz Baumgarten , Stefan Bornholdt

The outcome of SIR epidemics with heterogeneous infective lifetimes, or heterogeneous susceptibilities, can be mapped onto a directed percolation process on the underlying contact network. In this paper we study SIR models where…

Physics and Society · Physics 2021-11-01 G. J. Baxter , G. Timár

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

Physics and Society · Physics 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

We study a simple case of the susceptible-weakened-infected-removed model in regular random graphs in a situation where an epidemic starts from a finite fraction of initially infected nodes (seeds). Previous studies have shown that,…

Physics and Society · Physics 2018-04-03 Takehisa Hasegawa , Koji Nemoto

We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

Statistical Mechanics · Physics 2015-05-13 R. Juhász , G. Ódor

We are currently facing a highly critical case of a world-wide pandemic. The novel coronavirus (SARS-CoV-2, a.k.a. COVID-19) has proved to be extremely contagious and the original outbreak from Asia has now spread to all continents. This…

Physics and Society · Physics 2020-06-26 Priyanka , Vicky Verma

In wireless sensor networks (WSNs), main task of each sensor node is to sense the physical activity (i.e., targets or disaster conditions) and then to report it to the control center for further process. For this, sensor nodes are attached…

Networking and Internet Architecture · Computer Science 2018-01-16 Rajeev K. Shakya

We study sequential multiple testing with independent data streams, where the goal is to identify an unknown subset of signals while controlling commonly used error metrics, including generalized familywise rates and false discovery and…

Statistics Theory · Mathematics 2026-03-06 Jingyu Liu , Yanglei Song

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

We obtain tight thresholds for bond percolation on one-dimensional small-world graphs, and apply such results to obtain tight thresholds for the \emph{Independent Cascade} process and the \emph{Reed-Frost} process in such graphs. These are…