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Although community structure is ubiquitous in complex networks, few works exploit this topological property to control epidemics. In this work, devoted to networks with non-overlapping community structure (i.e, a node belongs to a single…

Social and Information Networks · Computer Science 2018-06-15 Zakariya Ghalmane , Mohammed El Hassouni , Hocine Cherifi

We investigate the spread of diseases, computer viruses or information on complex networks and also immunization strategies to prevent or control the spread. When an entire population cannot be immunized and the effect of immunization is…

Physics and Society · Physics 2011-04-14 Shinji Tanimoto

In this paper, we propose two novel immunization strategies, i.e., combined immunization and duplex immunization, for SIS model in directed scale-free networks, and obtain the epidemic thresholds for them with linear and nonlinear…

Physics and Society · Physics 2018-06-05 Wei Shi , Junbo Jia , Pan Yang , Xinchu Fu

We investigate how a population's natural and vaccine immunity affects the competitive balance between two strains of an infectious disease with different epidemiological characteristics. Specifically, we consider the case where one strain…

Dynamical Systems · Mathematics 2023-12-27 Matthew D. Johnston , Bruce Pell , Jared Pemberton , David A. Rubel

Most communication networks are complex. In this paper, we address one of the fundamental problems we are facing nowadays, namely, how we can efficiently protect these networks. To this end, we study an immunization strategy and found that…

Physics and Society · Physics 2007-05-23 Jesus Gomez-Gardenes , Pablo Echenique , Yamir Moreno

Immunizing a subset of nodes in a network - enabling them to identify and withstand the spread of harmful content - is one of the most effective ways to counter the spread of malicious content. It has applications in network security,…

Social and Information Networks · Computer Science 2019-12-30 Muhammad Ahmad , Sarwan Ali , Juvaria Tariq , Imdadullah Khan , Mudassir Shabbir , Arif Zaman

Deployment of anti-virus software is a common strategy for preventing and controlling the propagation of computer viruses and worms over a computer network. As the deployment of such programs is often limited due to monetary or operational…

Networking and Internet Architecture · Computer Science 2024-12-19 Jhonatan Tavori , Hanoch Levy

We study how a fraction of a population should be vaccinated to most efficiently top epidemics. We argue that only local information (about the neighborhood of specific vertices) is usable in practice, and hence we consider only local…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme

When banks choose similar investment strategies the financial system becomes vulnerable to common shocks. We model a simple financial system in which banks decide about their investment strategy based on a private belief about the state of…

Economics · Quantitative Finance 2014-08-05 Christoph Aymanns , Co-Pierre Georg

In the context of the recent COVID-19 outbreak, quarantine has been used to "flatten the curve" and slow the spread of the disease. In this paper, we show that this is not the only benefit of quarantine for the mitigation of an SIR epidemic…

Social and Information Networks · Computer Science 2021-02-23 Jessica Hoffmann , Matt Jordan , Constantine Caramanis

The aim of this paper is to quantify and manage systemic risk caused by default contagion in the interbank market. We model the market as a random directed network, where the vertices represent financial institutions and the weighted edges…

Risk Management · Quantitative Finance 2021-01-18 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

In order to meet regulatory approval, pharmaceutical companies often must demonstrate that new vaccines reduce the total risk of a post-infection outcome like transmission, symptomatic disease, severe illness, or death in randomized,…

Methodology · Statistics 2024-09-23 Rob Trangucci , Yang Chen , Jon Zelner

As impressively shown by the financial crisis in 2007/08, contagion effects in financial networks harbor a great threat for the stability of the entire system. Without sufficient capital requirements for banks and other financial…

Risk Management · Quantitative Finance 2019-11-19 Daniel Ritter

In this work we provide a simple setting that connects the structural modelling approach of Gai-Kapadia interbank networks with the mean-field approach to default contagion. To accomplish this we make two key contributions. First, we…

Mathematical Finance · Quantitative Finance 2021-07-08 Zachary Feinstein , Andreas Sojmark

We discuss the systemic risk implied by the interbank exposures reconstructed with the maximum entropy method. The maximum entropy method severely underestimates the risk of interbank contagion by assuming a fully connected network, while…

Risk Management · Quantitative Finance 2017-03-16 M. Andrecut

We examine here the effects of recurrent vaccination and waning immunity on the establishment of an endemic equilibrium in a population. An individual-based model that incorporates memory effects for transmission rate during infection and…

Populations and Evolution · Quantitative Biology 2024-11-22 Félix Foutel-Rodier , Arthur Charpentier , Hélène Guérin

We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

Analysis of PDEs · Mathematics 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

A new method (`explosive immunization' (EI)) is proposed for immunization and targeted destruction of networks. It combines the explosive percolation (EP) paradigm with the idea of maintaining a fragmented distribution of clusters. The…

Physics and Society · Physics 2016-11-16 Pau Clusella , Peter Grassberger , Francisco J. Perez-Reche , Antonio Politi

In spite of the growing theoretical literature on cascades of failures in interbank lending networks, empirical results seem to suggest that networks of direct exposures are not the major channel of financial contagion. In this paper we…

General Finance · Quantitative Finance 2013-06-18 Fabio Caccioli , J. Doyne Farmer , Nick Foti , Daniel Rockmore

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan