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Random networks with specified degree distributions have been proposed as realistic models of population structure, yet the problem of dynamically modeling SIR-type epidemics in random networks remains complex. I resolve this dilemma by…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz

Motivated by scenarios of epidemic competition, as well as how social contagions spread at the level of individuals, this work considers the competition between two conflicting node states that spread over a social graph according to a…

Social and Information Networks · Computer Science 2025-12-18 Argyris Kalogeratos , Gaspard Abel , Stefano Sarao Mannelli

This paper formulates and studies the problem of controlling a networked SIS model using a single input in which the network structure is described by a connected undirected graph. A necessary and sufficient condition on the values of…

Optimization and Control · Mathematics 2020-04-24 Dan Wang , Ji Liu , Philip E. Paré , Wei Chen , Li Qiu , Carolyn L. Beck , Tamer Başar

It is well known that for ergodic channel processes the Generalized Max-Weight Matching (GMWM) scheduling policy stabilizes the network for any supportable arrival rate vector within the network capacity region. This policy, however, often…

Information Theory · Computer Science 2016-11-18 Mahdi Lotfinezhad , Ben Liang , Elvino S. Sousa

Disease awareness in epidemiology can be modelled with adaptive contact networks, where the interplay of disease dynamics and network alteration often adds new phases to the standard models (Gross et al. 2006, Shaw et al. 2008) and, in…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Andrea Parisi , Ana Nunes

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

In this work, we study the propagation of influence and computation in dynamic distributed systems. We focus on broadcasting models under a worst-case dynamicity assumption which have received much attention recently. We drop for the first…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

Populations and Evolution · Quantitative Biology 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

Patching nodes is an effective network defense strategy for malware control at early stages, and its performance is primarily dependent on how accurately the infection propagation is characterized. In this paper, we aim to design a novel…

Networking and Internet Architecture · Computer Science 2025-11-03 Minh Phu Vuong , Chul-Ho Lee , Do Young Eun

In this paper, we study an optimal control problem of a communicable disease in a prison population. In order to control the spread of the disease inside a prison, we consider an active case-finding strategy, consisting on screening a…

Optimization and Control · Mathematics 2020-11-06 Pedro Gajardo , Victor Riquelme , Diego Vicencio

We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible--Infected--Susceptible (SIS) framework, and address a central problem of identifying the winning virus in a…

Dynamical Systems · Mathematics 2024-10-24 Mengbin Ye , Brian D. O. Anderson , Axel Janson , Sebin Gracy , Karl H. Johansson

In the light of several major epidemic events that emerged in the past two decades, and emphasized by the COVID-19 pandemics, the non-Markovian spreading models occurring on complex networks gained significant attention from the scientific…

Physics and Society · Physics 2021-11-30 Igor Tomovski , Lasko Basnarkov , Alajdin Abazi

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

Optimization and Control · Mathematics 2020-04-14 Renato Pagliara , Naomi E. Leonard

Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we report on the emergence of a remarkable self-organization of…

Statistical Mechanics · Physics 2025-05-16 Sara Najem , Leonid Klushin , Jihad Touma

The Susceptible-Infectious-Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure's…

Physics and Society · Physics 2021-06-09 Petter Holme

We study the SIRS (Susceptible-Infected-Recovered-Susceptible) spreading processes over complex networks, by considering its exact $3^n$-state Markov chain model. The Markov chain model exhibits an interesting connection with its $2n$-state…

Social and Information Networks · Computer Science 2016-03-17 Navid Azizan Ruhi , Babak Hassibi

In this paper, we are concerned with the stochastic susceptible-infectious-susceptible (SIS) epidemic model on the complete graph with $n$ vertices. This model has two parameters, which are the infection rate and the recovery rate. By…

Probability · Mathematics 2020-12-02 Huazheng Bu , Xiaofeng Xue

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee