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In this paper are presented methods of impact analysis on informatics system security accidents, qualitative and quantitative methods, starting with risk and informational system security definitions. It is presented the relationship…

General Finance · Quantitative Finance 2013-03-08 Floarea Baicu , Maria Alexandra Baches

The primary goal of this research is to investigate the impact of delay on the dynamics of the Susceptible-Exposed-Infected-Recovered-Death and Susceptible (SEIRDS) model, to which we add a stochastic term to account for uncertainty in…

Populations and Evolution · Quantitative Biology 2022-08-17 Mohamed Ben Alaya , Walid Ben Aribi , Slimane Ben Miled

Early estimates of the transmission properties of a newly emerged pathogen are critical to an effective public health response, and are often based on limited outbreak data. Here, we use simulations to investigate a potential source of bias…

Populations and Evolution · Quantitative Biology 2022-11-17 Thomas Harris , Nicholas Geard , Cameron Zachreson

The network virus propagation is influenced by various factors, and some of them are neglected in most of the existed models in the literature. In this paper, we study the network virus propagation based on the the epidemiological…

Computer Science and Game Theory · Computer Science 2014-10-15 Iyed Khammassi , Rachid Elazouzi , Majed Haddad , Issam Mabrouki

The theory of computer viruses has been studied by several authors, though there is no systematic theoretical study up to now. The long time open question in this area is as follows: Is it possible to design a signature-free (including…

Cryptography and Security · Computer Science 2012-07-24 Yongge Wang

Memory has a great impact on the evolution of every process related to human societies. Among them, the evolution of an epidemic is directly related to the individuals' experiences. Indeed, any real epidemic process is clearly sustained by…

Physics and Society · Physics 2017-03-10 M. Saeedian , M. Khalighi , N. Azimi-Tafreshi , G. R. Jafari , M. Ausloos

The frequent occurrence of cyber risks and their serious economic consequences have created a growth market for cyber insurance. The calculation of aggregate losses, an essential step in insurance pricing, has attracted considerable…

Risk Management · Quantitative Finance 2024-08-27 Na Ren , Xin Zhang

Identifying the infection sources in a network, including the index cases that introduce a contagious disease into a population network, the servers that inject a computer virus into a computer network, or the individuals who started a…

Discrete Mathematics · Computer Science 2015-03-20 Wuqiong Luo , Wee Peng Tay , Mei Leng

Defining an optimal protection strategy against viruses, spam propagation or any other kind of contamination process is an important feature for designing new networks and architectures. In this work, we consider decentralized optimal…

Systems and Control · Computer Science 2017-10-03 Stojan Trajanovski , Yezekael Hayel , Eitan Altman , Huijuan Wang , Piet Van Mieghem

In the present article we introduce an epidemiological model for the investigation of the spread of epidemics caused by viruses. The model is applied specifically to COVID-19, the disease caused by the SARS-Cov-2 virus (aka "novel…

Populations and Evolution · Quantitative Biology 2020-04-10 Rodrigo A. Schulz , Carlos H. Coimbra-Araújo , Samuel W. S. Costiche

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

Optimization and Control · Mathematics 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

The success of a business mission is highly dependent on the Communications and Information Systems (CIS) that support the mission. Mission Impact Assessment (MIA) seeks to assist the integration of business or military operations with…

Cryptography and Security · Computer Science 2017-10-12 Alexander Kott , Mona Lange , Jackson Ludwig

We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics as a continuous time random walk, where individuals move…

Dynamical Systems · Mathematics 2024-10-14 Christopher N. Angstmann , Stuart-James M. Burney , Anna V. McGann , Zhuang Xu

The SIR model is a classical model characterizing the spreading of infectious diseases. This model describes the time-dependent quantity changes among Susceptible, Infectious, and Recovered groups. By introducing space-depend effects such…

Quantitative Methods · Quantitative Biology 2024-09-18 Md Abu Talha , Yongjia Xu , Shan Zhao , Weihua Geng

Policy-makers require data-driven tools to assess the spread of COVID-19 and inform the public of their risk of infection on an ongoing basis. We propose a rigorous hybrid model-and-data-driven approach to risk scoring based on a…

This paper describes a mathematical model for the spread of a virus through an isolated population of a given size. The model uses three, color-coded components, called molecules (red for infected and still contagious; green for infected,…

Populations and Evolution · Quantitative Biology 2021-06-01 Neil R. Sheeley

The SIR model with spatially inhomogeneous infection rate is studied with numerical simulations in one, two, and three dimensions, considering the case that the infection spreads inhomogeneously in densely populated regions or hot spots. We…

Medical Physics · Physics 2020-12-25 Hidetsugu Sakaguchi , Yuta Nakao

In most models of the spread of disease over contact networks it is assumed that the probabilities per unit time of disease transmission and recovery from disease are constant, implying exponential distributions of the time intervals for…

Physics and Society · Physics 2010-07-23 Brian Karrer , M. E. J. Newman

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

Populations and Evolution · Quantitative Biology 2022-03-03 Michael Bestehorn , Thomas M. Michelitsch , Bernard A. Collet , Alejandro P. Riascos , Andrzej F. Nowakowski