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Recent studies on network geometry, a way of describing network structures as geometrical objects, are revolutionizing our way to understand dynamical processes on networked systems. Here, we cope with the problem of epidemic spreading,…

物理与社会 · 物理学 2020-03-04 Joan T. Matamalas , Sergio Gómez , Alex Arenas

We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible--Infected--Susceptible (SIS) framework, and address a central problem of identifying the winning virus in a…

动力系统 · 数学 2024-10-24 Mengbin Ye , Brian D. O. Anderson , Axel Janson , Sebin Gracy , Karl H. Johansson

In a collection of particles performing independent random walks on $\mathbb Z^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and…

概率论 · 数学 2022-09-14 Duncan Dauvergne , Allan Sly

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…

系统与控制 · 计算机科学 2017-10-03 Stojan Trajanovski , Yezekael Hayel , Eitan Altman , Huijuan Wang , Piet Van Mieghem

Many models of virus propagation in Computer Networks inspired by {\bf SIS,SIR,}\\ {\bf SEIR}, etc. epidemic disease propagation mathematical models that can be found in the epidemiology field have been proposed in the last two decades. The…

最优化与控制 · 数学 2021-01-05 Carlos Rodriguez Lucatero

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

动力系统 · 数学 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

We consider a standard \textit{susceptible-infected-susceptible} (SIS) model to study behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual…

物理与社会 · 物理学 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Yong Chen , Ying-Hai Wang

Numerous elements drive the spread of infectious diseases in complex real-world networks. Of particular interest is social behaviors that evolve in tandem with the spread of disease. Moreover, recent studies highlight the importance of…

系统与控制 · 电气工程与系统科学 2025-10-03 Benjamin Catalano , Keith Paarporn , Sebin Gracy

Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we report on the emergence of a remarkable self-organization of…

统计力学 · 物理学 2025-05-16 Sara Najem , Leonid Klushin , Jihad Touma

This work investigates three aspects: (a) a network vulnerability as the non-uniform vulnerable-host distribution, (b) threats, i.e., intelligent malwares that exploit such a vulnerability, and (c) defense, i.e., challenges for fighting the…

密码学与安全 · 计算机科学 2008-09-08 Zesheng Chen , Chuanyi Ji

Recent research on social contagion processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty relationships and group influences properly. Social contagion…

社会与信息网络 · 计算机科学 2024-08-19 Lidan Liang , Shaoxuan Cui , Fangzhou Liu

This paper considers the classical Susceptible--Infected--Susceptible (SIS) network epidemic model, which describes a disease spreading through $n$ nodes, with the network links governing the possible transmission pathways of the disease…

系统与控制 · 电气工程与系统科学 2023-05-29 Liam Walsh , Mengbin Ye , Brian D. O. Anderson , Zhiyong Sun

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

适应与自组织系统 · 物理学 2022-04-01 Konstantin Clauß , Christian Kuehn

Recent work on information survival in sensor and human P2P networks, try to study the datum preservation or the virus spreading in a network under the dynamical system approach. Some interesting solutions propose to use non-linear…

物理与社会 · 物理学 2010-10-27 Carlos Rodríguez-Lucatero , Roberto Bernal-Jaquez

Multiple viruses are widely studied because of their negative effect on the health of host as well as on whole population. The dynamics of coinfection is important in this case. We formulated a SIR model that describes the coinfection of…

动力系统 · 数学 2019-05-14 Samia Ghersheen , Vladimir Kozlov , Vladimir G. Tkachev , Uno Wennergren

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…

计算机科学与博弈论 · 计算机科学 2014-10-15 Iyed Khammassi , Rachid Elazouzi , Majed Haddad , Issam Mabrouki

Promoting some typical spreading dynamics, for instance, the spreading of information, commercial message, vaccination guidance, innovation, and political movement, can bring benefits to all aspects of the socio-economic systems. In this…

物理与社会 · 物理学 2020-03-25 Dan Yang , Jiajun Xian , Liming Pan , Wei Wang , Tao Zhou

We propose a mathematical model to analyze the effects of anti-infection behavior on the equilibrium states of an infectious disease. The anti-infection behavior is incorporated into a classical epidemiological SIR model, by considering the…

种群与进化 · 定量生物学 2020-09-11 Andrés David Báez-Sánchez , Nara Bobko

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

物理与社会 · 物理学 2015-03-13 Kameron Decker Harris

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

物理与社会 · 物理学 2021-02-03 Angélica S. Mata