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We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a…

Optimization and Control · Mathematics 2022-11-02 Vishal Abhishek , Vaibhav Srivastava

We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic…

Optimization and Control · Mathematics 2020-11-04 Salvatore Federico , Giorgio Ferrari

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

Analyzing and controlling spreading processes are challenging problems due to the involved non-linear node (subsystem) dynamics, unknown disturbances, complex interconnections, and the large-scale and multi-level nature of the problems. The…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

This paper investigates optimization policies for resource distribution in network epidemics using a model that derives from the classical Polya process. The basic mechanics of this model, called the Polya network contagion process, are…

Optimization and Control · Mathematics 2020-08-06 Greg Harrington , Fady Alajaji , Bahman Gharesifard

To control infection spreading on networks, we investigate the effect of observer nodes that recognize infection in a neighboring node and make the rest of the neighbor nodes immune. We numerically show that random placement of observer…

Physics and Society · Physics 2014-07-15 Taro Takaguchi , Takehisa Hasegawa , Yuichi Yoshida

Contagion processes on networks, including disease spreading, information diffusion, or social behaviors propagation, can be modeled as simple contagion, i.e. involving one connection at a time, or as complex contagion, in which multiple…

Physics and Society · Physics 2023-06-19 Giulia Cencetti , Diego Andrés Contreras , Marco Mancastroppa , Alain Barrat

In contrast to previous common wisdom that epidemic activity in heterogeneous networks is dominated by the hubs with the largest number of connections, recent research has pointed out the role that the innermost, dense core of the network…

Physics and Society · Physics 2012-05-04 Claudio Castellano , Romualdo Pastor-Satorras

We consider the propagation of a contagion process (epidemic) on a network and study the problem of dynamically allocating a fixed curing budget to the nodes of the graph, at each time instant. For bounded degree graphs, we provide a lower…

Social and Information Networks · Computer Science 2015-10-22 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis

The problem of targeted network immunization can be defined as the one of finding a subset of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between the cost of vaccination and the final (stationary) expected…

Physics and Society · Physics 2015-07-10 F. Altarelli , A. Braunstein , L. Dall'Asta , J. R. Wakeling , R. Zecchina

The interplay between traffic dynamics and epidemic spreading on complex networks has received increasing attention in recent years. However, the control of traffic-driven epidemic spreading remains to be a challenging problem. In this…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Zhi-Xi Wu , Bing-Hong Wang

We apply optimal control theory to a tuberculosis model given by a system of ordinary differential equations. Optimal control strategies are proposed to minimize the cost of interventions, considering reinfection and post-exposure…

Optimization and Control · Mathematics 2013-07-15 Cristiana J. Silva , Delfim F. M. Torres

We extend the study of a model of competitive cluster growth in an active medium to a basis of networks; this is done by adding nonlocal connections with probability $p$ to sites on a regular lattice, thus enabling one to interpolate…

Statistical Mechanics · Physics 2010-12-10 N. Nirmal Thyagu , Anita Mehta

This article reviews and presents various solved and open problems in the development, analysis, and control of epidemic models. We are interested in presenting a relatively concise report for new engineers looking to enter the field of…

Optimization and Control · Mathematics 2015-08-26 Cameron Nowzari , Victor M. Preciado , George J. Pappas

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

The recurrent infectious diseases and their increasing impact on the society has promoted the study of strategies to slow down the epidemic spreading. In this review we outline the applications of percolation theory to describe strategies…

Physics and Society · Physics 2015-06-16 L. D. Valdez , C. Buono , P. A. Macri , L. A. Braunstein

A model for epidemic spreading on rewiring networks is introduced and analyzed for the case of scale free steady state networks. It is found that contrary to what one would have naively expected, the rewiring process typically tends to…

Physics and Society · Physics 2013-05-29 Yonathan Schwarzkopf , Attila Rakos , David Mukamel

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

Physics and Society · Physics 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi
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