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We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

物理与社会 · 物理学 2013-07-23 Wojciech Ganczarek

We present here two promising techniques for the application of the complex network approach to continuous spatio-temporal systems that have been developed in the last decade and show large potential for future application and development…

数据分析、统计与概率 · 物理学 2015-07-19 Norbert Marwan , Jürgen Kurths

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

物理与社会 · 物理学 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

统计方法学 · 统计学 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

The understanding of epidemics on networks has greatly benefited from the recent application of message-passing approaches, which allow to derive exact results for irreversible spreading (i.e. diseases with permanent acquired immunity) in…

统计力学 · 物理学 2018-12-05 Claudio Castellano , Romualdo Pastor-Satorras

Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel…

物理与社会 · 物理学 2008-01-23 Thilo Gross , Bernd Blasius

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

The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence…

物理与社会 · 物理学 2023-01-02 Alex Arenas , Antonio Garijo , Sergio Gómez , Jordi Villadelprat

Epidemics exhibit interconnected processes that operate at multiple time and organizational scales, a hallmark of complex adaptive systems. Modern epidemiological modeling frameworks incorporate feedback between individual-level behavioral…

动力系统 · 数学 2025-03-07 Baltazar Espinoza , Roger Sanchez , Jimmy Calvo-Monge , Fabio Sanchez

We propose a generative model and an inference scheme for epidemic processes on dynamic, adaptive contact networks. Network evolution is formulated as a link-Markovian process, which is then coupled to an individual-level stochastic SIR…

统计方法学 · 统计学 2020-04-07 Fan Bu , Allison E. Aiello , Jason Xu , Alexander Volfovsky

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

Models of the consensus of the individual state in social systems have been the subject of recent researches in the physics literature. We investigate how network structures coevolve with the individual state under the framework of social…

社会与信息网络 · 计算机科学 2020-05-15 Kaiqi Zhang , Zinan Lv , Haifeng Du , Honghu Zou

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

Adaptive-network models are typically studied using deterministic differential equations which approximately describe their dynamics. In simulations, however, the discrete nature of the network gives rise to intrinsic noise which can…

统计力学 · 物理学 2012-09-04 Tim Rogers , William Clifford-Brown , Catherine Mills , Tobias Galla

In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in…

适应与自组织系统 · 物理学 2015-07-01 Stefan Wieland , Ana Nunes

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

物理与社会 · 物理学 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

Optimal control of interdependent epidemics spreading over complex networks is a critical issue. We first establish a framework to capture the coupling between two epidemics, and then analyze the system's equilibrium states by categorizing…

系统与控制 · 计算机科学 2017-10-19 Juntao Chen , Rui Zhang , Quanyan Zhu

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

统计计算 · 统计学 2022-11-02 Georgios Efstathiadis

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

物理与社会 · 物理学 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai