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We study an SIS epidemic process over a static contact network where the nodes have partial information about the epidemic state. They react by limiting their interactions with their neighbors when they believe the epidemic is currently…

Social and Information Networks · Computer Science 2024-05-03 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Jeff S. Shamma

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Time-varying network topologies can deeply influence dynamical processes mediated by them. Memory effects in the pattern of interactions among individuals are also known to affect how diffusive and spreading phenomena take place. In this…

Network science has increasingly become central to the field of epidemiology and our ability to respond to infectious disease threats. However, many networks derived from modern datasets are not just large, but dense, with a high ratio of…

Populations and Evolution · Quantitative Biology 2023-01-11 Alexander M. Mercier , Samuel V. Scarpino , Cristopher Moore

Although viral spreading processes taking place in networks are often analyzed using Markovian models in which both the transmission and the recovery times follow exponential distributions, empirical studies show that, in many real…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

In this paper we make the first steps to bridge the gap between classic control theory and modern, network-based epidemic models. In particular, we apply nonlinear model predictive control (NMPC) to a pairwise ODE model which we use to…

Classical Analysis and ODEs · Mathematics 2014-02-11 Fanni Sélley , Ádám Besenyei , Istvan Z. Kiss , Péter L. Simon

Maximizing the damage by attacking specific nodes of the combat network can efficiently disrupt enemies' defense capability, protect our critical units, and enhance the resistance to the destruction of system-of-system~(SOS). However, the…

Systems and Control · Electrical Eng. & Systems 2022-12-26 Jintao Yu , Bing Xiao , Yuzhu Cui

We are interested in describing the infected size of the SIS Epidemic model using Birth-Death Markov process. The Susceptible-Infected-Susceptible (SIS) model is defined within a population of constant size $M$; the size is kept constant by…

Populations and Evolution · Quantitative Biology 2021-06-01 A. H. Nzokem

Containment of epidemic outbreaks entails great societal and economic costs. Cost-effective containment strategies rely on efficiently identifying infected individuals, making the best possible use of the available testing resources.…

Populations and Evolution · Quantitative Biology 2020-12-01 Laura Natali , Saga Helgadottir , Onofrio M. Marago , Giovanni Volpe

We investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

Understanding models which represent the invasion of network-based systems by infectious agents can give important insights into many real-world situations, including the prevention and control of infectious diseases and computer viruses.…

Populations and Evolution · Quantitative Biology 2013-08-02 Robert R. Wilkinson , Kieran J. Sharkey

Epidemic containment is a major concern when confronting large-scale infections in complex networks. Many works have been devoted to analytically understand how to restructure the network to minimize the impact of major outbreaks of…

Physics and Society · Physics 2018-12-27 Joan T. Matamalas , Alex Arenas , Sergio Gómez

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

To improve the accuracy of network-based SIS models we introduce and study a multilayer representation of a time-dependent network. In particular, we assume that individuals have their long-term (permanent) contacts that are always present,…

Physics and Society · Physics 2018-12-13 Aram Vajdi , David Juher , Joan Saldana , Caterina Scoglio

Min-SEIS-Cluster is an optimization problem which aims at minimizing the infection spreading in networks. In this problem, nodes can be susceptible to an infection, exposed to an infection, or infectious. One of the main features of this…

Social and Information Networks · Computer Science 2017-07-19 Fernando Concatto , Wellington Zunino , Luigi A. Giancoli , Rafael Santiago , Luís C. Lamb

In network epidemic models, controlling the spread of a disease often requires targeted interventions such as vaccinating high-risk individuals based on network structure. However, typical approaches assume complete knowledge of the…

Statistics Theory · Mathematics 2026-02-16 Anirudh Sridhar , Arnob Ghosh

We study a variant of the classical Markovian logistic SIS epidemic model on a complete graph, which has the additional feature that healthy individuals can become infected without contacting an infected member of the population. This…

Probability · Mathematics 2026-01-14 Roxanne He , Malwina Luczak , Nathan Ross

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

The rise of programmable data plane (PDP) and in-network computing (INC) paradigms paves the way for the development of network devices (switches, network interface cards, etc.) capable of performing advanced processing tasks. This allows…

Networking and Internet Architecture · Computer Science 2026-04-21 Mattia Giovanni Spina , Edoardo Scalzo , Floriano De Rango , Francesca Guerriero , Antonio Iera