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To understand the impact of vaccination, we consider a SIVR (susceptible-infected-vaccinated-recovered) model which combines impulsive vaccination into the classical SIR model. The final size is firstly defined and estimated, and then the…

Populations and Evolution · Quantitative Biology 2024-10-29 Phyu Phyu Win , Zhigui Lin , Mengyun Zhang

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

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

Spread of computer viruses can be modeled as the SIS (susceptible-infected-susceptible) epidemic propagation. We show that in order to ensure the random immunization or the targeted immunization effectively prevent computer viruses…

Physics and Society · Physics 2012-07-17 Jinyu Huang

We introduce an Ising approach to study the spread of malware. The Ising spins up and down are used to represent two states--online and offline--of the nodes in the network. Malware is allowed to propagate amongst online nodes and the rate…

Computational Physics · Physics 2010-07-29 K. E. S. Antonio , C. M. N. Pinol , R. S. Banzon

Lockdown procedures have been proven successful in mitigating the spread of the viruses in this COVID-19 pandemic, but they also have devastating impact on the economy. We use a modified Susceptible-Infectious-Recovered-Deceased model with…

Physics and Society · Physics 2021-02-24 Sung-Po Chao

In epidemiology, an epidemic is defined as the spread of an infectious disease to a large number of people in a given population within a short period of time. In the marketing context, a message is viral when it is broadly sent and…

Social and Information Networks · Computer Science 2016-11-15 Helena Sofia Rodrigues , Manuel José Fonseca

We analyse the infection-age-dependent SIR model from a numerical point of view. First, we present an algorithm for calculating the solution the infection-age-structured SIR model without demography of the background host. Second, we…

Populations and Evolution · Quantitative Biology 2020-06-29 Ralph Brinks , Annika Hoyer

An asteroid impact is a low probability event with potentially devastating consequences. The Asteroid Risk Mitigation Optimization and Research (ARMOR) software tool calculates whether a colliding asteroid experiences an airburst or surface…

Space Physics · Physics 2017-02-21 Clemens M. Rumpf , Hugh G. Lewis , Peter M. Atkinson

Understanding the effects of interventions, such as restrictions on community and large group gatherings, is critical to controlling the spread of COVID-19. Susceptible-Infectious-Recovered (SIR) models are traditionally used to forecast…

Methodology · Statistics 2021-03-10 Andrew Giffin , Wenlong Gong , Suman Majumder , Ana G. Rappold , Brian J. Reich , Shu Yang

The issue of state estimation is considered for an SIR-SI epidemiological model describing a vector-borne disease such as dengue fever, subject to seasonal variations. Assuming continuous measurement of the incidence rate (that is the…

Optimization and Control · Mathematics 2018-03-08 Maria Soledad Aronna , Pierre-Alexandre Bliman , Maria Aronna

When undertaking cyber security risk assessments, we must assign numeric values to metrics to compute the final expected loss that represents the risk that an organization is exposed to due to cyber threats. Even if risk assessment is…

Computer Science and Game Theory · Computer Science 2017-12-19 Andrew Fielder , Sandra Konig , Emmanouil Panaousis , Stefan Schauer , Stefan Rass

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

COVID-19 continues to spread across the country and around the world. Current strategies for managing the spread of COVID-19 include social distancing. We present VERA, an interactive AI tool, that first enables users to specify conceptual…

Computers and Society · Computer Science 2020-04-02 William Broniec , Sungeun An , Spencer Rugaber , Ashok K. Goel

Digital investigators often get involved with cases, which seemingly point the responsibility to the person to which the computer belongs, but after a thorough examination malware is proven to be the cause, causing loss of precious time.…

Cryptography and Security · Computer Science 2021-09-21 Muhammad Ali , Stavros Shiaeles , Nathan Clarke , Dimitrios Kontogeorgis

Can we make a denial-of-service attacker pay more than the server and honest clients? Consider a model where a server sees a stream of jobs sent by either honest clients or an adversary. The server sets a price for servicing each job with…

Cryptography and Security · Computer Science 2026-02-03 Trisha Chakraborty , Abir Islam , Valerie King , Daniel Rayborn , Jared Saia , Maxwell Young

Various theoretical models have been proposed to understand the basic nature of epidemics. Recent studies focus on the effects of mobility to epidemic process. However, uncorrelated random walk is typically assumed as the type of movement.…

Populations and Evolution · Quantitative Biology 2018-07-04 Genki Ichinose , Yoshiki Satotani , Hiroki Sayama , Takashi Nagatani

The losses arising from a system being hit by cyber attacks can be staggeringly high, but defending against such attacks can also be costly. This work proposes an attack countermeasure selection approach based on cost impact analysis that…

Cryptography and Security · Computer Science 2019-04-08 Jukka Soikkeli , Luis Muñoz-González , Emil C. Lupu

The coronavirus pandemic has rapidly evolved into an unprecedented crisis. The susceptible-infectious-removed (SIR) model and its variants have been used for modeling the pandemic. However, time-independent parameters in the classical…

Populations and Evolution · Quantitative Biology 2020-09-09 Hyokyoung G. Hong , Yi Li

Social networks are the prime channel for the spreading of computer viruses. Yet the study of their propagation neglects the temporal nature of social interactions and the heterogeneity of users' susceptibility. Here, we introduce a…

Physics and Society · Physics 2019-05-29 Terry Brett , George Loukas , Yamir Moreno , Nicola Perra