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Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

物理与社会 · 物理学 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

In this paper, we analyze the infection spreading dynamics of malware in a population of cyber nodes (i.e., computers or devices). Unlike most prior studies where nodes are reactive to infections, in our setting some nodes are active…

系统与控制 · 电气工程与系统科学 2023-05-25 Keith Paarporn , Shouhuai Xu

The ability to actually implement epidemic models is a crucial stake for public institutions, as they may be overtaken by the increasing complexity of current models and sometimes tend to revert to less elaborate models such as the SIR. In…

物理与社会 · 物理学 2023-12-19 Louis Bremaud , Olivier Giraud , Denis Ullmo

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

社会与信息网络 · 计算机科学 2017-07-28 Rehan Ahmad , Kevin S. Xu

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

社会与信息网络 · 计算机科学 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

In this paper, we tackle the problem of innovation spreading from a modeling point of view. We consider a networked system of individuals, with a competition between two groups. We show its relation to the innovation spreading issues. We…

物理与社会 · 物理学 2010-07-07 Krzysztof Suchecki , Andrea Scharnhorst , Janusz A. Holyst

We study a susceptible-vaccinated--infected--recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well as extensive computer simulations, we demonstrate that the…

物理与社会 · 物理学 2013-12-05 Chao-Ran Cai , Zhi-Xi wu , Jian-Yue Guan

Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

种群与进化 · 定量生物学 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

物理与社会 · 物理学 2021-07-26 Hugo Dolan , Riccardo Rastelli

We study the stability properties of a susceptible-infected-susceptible (SIS) diffusion model, so-called the $n$-intertwined Markov model, over arbitrary directed network topologies. As in the majority of the work on infection spread…

系统与控制 · 计算机科学 2015-02-23 Ali Khanafer , Tamer Başar , Bahman Gharesifard

We study extensions of the classical SIR model of epidemic spread. First, we consider a single population modified SIR epidemics model in which the contact rate is allowed to be an arbitrary function of the fraction of susceptible and…

动力系统 · 数学 2021-12-17 Martina Alutto , Giacomo Como , Fabio Fagnani

The well-known Ising model used in statistical physics was adapted to a social dynamics context to simulate the adoption of a technological innovation. The model explicitly combines (a) an individual's perception of the advantages of an…

物理与社会 · 物理学 2015-05-20 Carlos E. Laciana , Santiago L. Rovere

We investigate SIR models with vital dynamics, reinfection, and randomness at the transmission coefficient and recruitment rate. Initially, we conduct an extensive analysis of the autonomous scenario, covering aspects such as local and…

动力系统 · 数学 2024-04-22 Javier López-de-la-Cruz , Alexandre N. Oliveira-Sousa

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

物理与社会 · 物理学 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Multilayer networks are the underlying structures of multiple real-world systems where we have more than one type of interaction/relation between nodes: social, biological, computer, or communication, to name only a few. In many cases, they…

社会与信息网络 · 计算机科学 2021-03-15 Piotr Bródka , Jarosław Jankowski , Radosław Michalski

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

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

种群与进化 · 定量生物学 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

This paper presents a detailed mathematical investigation into the dynamics of COVID-19 infections through extended Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological models. By…

种群与进化 · 定量生物学 2025-05-21 Caleb Traxler , Minh Ton , Nameer Ahmed , Sasha Prostota , Annie Cheng

The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the…

应用统计 · 统计学 2025-05-07 Omar Melikechi , Alexander L. Young , Tao Tang , Trevor Bowman , David Dunson , James Johndrow

We propose a targeted intervention protocol where recovery is restricted to individuals that have the least number of infected neighbours. Our recovery strategy is highly efficient on any kind of network, since epidemic outbreaks are…

物理与社会 · 物理学 2017-10-31 Lucas Böttcher , José S. Andrade , Hans J. Herrmann