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This paper addresses novel consensus problems for multi-agent systems operating in an unreliable environment where adversaries are spreading. The dynamics of the adversarial spreading processes follows the susceptible-infected-recovered…

Systems and Control · Electrical Eng. & Systems 2022-01-12 Yuan Wang , Hideaki Ishii , François Bonnet , Xavier Défago

In the evolving digital landscape, it is crucial to study the dynamics of cyberattacks and defences. This study uses an Evolutionary Game Theory (EGT) framework to investigate the evolutionary dynamics of attacks and defences in cyberspace.…

Computer Science and Game Theory · Computer Science 2025-05-27 Adeela Bashir , Zia Ush Shamszaman , Zhao Song , The Anh Han

A susceptible-infected-susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. The basic reproduction number for this model is estimated…

Physics and Society · Physics 2020-03-31 Petar Jovanovski , Igor Tomovski , Ljupco Kocarev

We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type. The SIS epidemic model has seen widespread popularity in modelling the spreading dynamics of contagions such as viruses,…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Vishwaraj Doshi , Shailaja Mallick , Do Young eun

This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model. In particular, we focus on the case where there are three competing viruses (i.e., the tri-virus system). First, we show…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Sebin Gracy , Mengbin Ye , Brian DO Anderson , Cesar A. Uribe

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

Social and Information Networks · Computer Science 2015-03-19 Robert Elsässer , Adrian Ogierman

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

Physics and Society · Physics 2024-05-07 Bo Li , David Saad

The Internet is a man-made complex system under constant attacks (e.g., Advanced Persistent Threats and malwares). It is therefore important to understand the phenomena that can be induced by the interaction between cyber attacks and cyber…

Cryptography and Security · Computer Science 2016-03-29 Ren Zheng , Wenlian Lu , Shouhuai Xu

This study investigates general model-based incident handler's asymptotic behaviors in time against cyber attacks to control systems. The attacker's and the defender's dynamic decision making is modeled as an equilibrium of a dynamic…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Hampei Sasahara , Henrik Sandberg

We study a bi-virus susceptible-infected-susceptible (SIS) epidemic model in which individuals are either susceptible or infected with one of two virus strains, and consider mutation-driven transitions between strains. The general case of…

Populations and Evolution · Quantitative Biology 2025-10-03 Urmee Maitra , Ashish R. Hota , Vaibhav Srivastava

Most epidemic models assume equal mixing among members of a population. An alternative approach is to model a population as random network in which individuals may have heterogeneous connectivity. This paper builds on previous research by…

Physics and Society · Physics 2007-05-23 Erik Volz

Individuals change their behavior during an epidemic in response to whether they and/or those they interact with are healthy or sick. Healthy individuals are concerned about contracting a disease from their sick contacts and may utilize…

Social and Information Networks · Computer Science 2016-04-19 Ceyhun Eksin , Jeff S. Shamma , Joshua S. Weitz

Motivated by fundamental issues in non-equilibrium statistical mechanics (NESM), we study the venerable susceptible-infected (SIS) model of disease spreading in an idealized, simple setting. Using Monte Carlo and analytic techniques, we…

Statistical Mechanics · Physics 2015-06-22 Maxim S. Shkarayev , R. K. P. Zia

Understanding models which represent the invasion of network-based systems by infectious agents can give important insights into many real-world situations, including the prevention and control of infectious diseases and computer viruses.…

Populations and Evolution · Quantitative Biology 2013-08-02 Robert R. Wilkinson , Kieran J. Sharkey

The recently proposed {\em cybersecurity dynamics} approach aims to understand cybersecurity from a holistic perspective by modeling the evolution of the global cybersecurity state. These models describe the interactions between the various…

Cryptography and Security · Computer Science 2016-04-01 Ren Zheng , Wenlian Lu , Shouhuai Xu

Individual behaviors play an essential role in the dynamics of transmission of infectious diseases, including COVID--19. This paper studies a dynamic game model that describes the social distancing behaviors during an epidemic, assuming a…

Computer Science and Game Theory · Computer Science 2021-05-27 Ioannis Kordonis , Athanasios-Rafail Lagos , George P. Papavassilopoulos

We study proliferation of an action in binary action network coordination games that are generalized to include global effects. This captures important aspects of proliferation of a particular action or narrative in online social networks,…

Theoretical Economics · Economics 2023-08-02 John Higgins , Tarun Sabarwal

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 investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai