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Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting cases widely analyzed in the physics literature, the so-called contact process (CP) where the contagion is expanded at…

Computational Physics · Physics 2010-02-19 S. Gomez , A. Arenas , J. Borge-Holthoefer , S. Meloni , Y. Moreno

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…

Adaptation and Self-Organizing Systems · Physics 2015-07-01 Stefan Wieland , Ana Nunes

Understanding of the mechanisms driving our daily face-to-face encounters is still limited; the field lacks large-scale datasets describing both individual behaviors and their collective interactions. However, here, with the help of travel…

Physics and Society · Physics 2013-08-07 Lijun Sun , Kay W. Axhausen , Der-Horng Lee , Xianfeng Huang

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

Neurons and Cognition · Quantitative Biology 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

Reconstructing interactions from observational data is a critical need for investigating natural biological networks, wherein network dimensionality (i.e. number of interacting components) is usually high and interactions are time-varying.…

Populations and Evolution · Quantitative Biology 2021-02-09 Chun-Wei Chang , Takeshi Miki , Masayuki Ushio , Hsiao-Pei Lu , Fuh-Kwo Shiah , Chih-hao Hsieh

This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

Physics and Society · Physics 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

Many complex human and natural phenomena can usefully be represented as networks describing the relationships between individuals. While these relationships are typically intermittent, previous research has used network representations that…

Computers and Society · Computer Science 2013-06-06 Vassilis Kostakos , Eamonn O'Neill , Alan Penn

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

Neurons and Cognition · Quantitative Biology 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab

The ability to understand and eventually predict the emergence of information and activation cascades in social networks is core to complex socio-technical systems research. However, the complexity of social interactions makes this a…

Physics and Society · Physics 2015-06-16 Pablo Piedrahíta , Javier Borge-Holthoefer , Yamir Moreno , Alex Arenas

The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

Physics and Society · Physics 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

Neurons and Cognition · Quantitative Biology 2021-12-30 X. San Liang

The dynamical properties and diffusive behavior of a collection of mutually interacting particles are numerically investigated for two types of long-range interparticle interactions: Coulomb-electrostatic and dipole-electrodynamic. It is…

Two-dimensional discrete dislocation models exhibit complex dynamics in relaxation and under external loading. This is manifested both in the time-dependent velocities of individual dislocations and in the ensemble response, the strain…

Computational Physics · Physics 2018-11-13 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Complex networks, comprised of individual elements that interact with each other through reaction channels, are ubiquitous across many scientific and engineering disciplines. Examples include biochemical, pharmacokinetic, epidemiological,…

Mathematical Physics · Physics 2013-06-14 John Goutsias , Garrett Jenkinson

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Network modeling characterizes the underlying principles of structural properties and is of vital significance for simulating dynamical processes in real world. However, bridging structure and dynamics is always challenging due to the…

Physics and Society · Physics 2022-12-27 Zhihao Han , Longzhao Liu , Xin Wang , Yajing Hao , Hongwei Zheng , Shaoting Tang , Zhiming Zheng

In the study of dynamical processes on networks, there has been intense focus on network structure -- i.e., the arrangement of edges and their associated weights -- but the effects of the temporal patterns of edges remains poorly…

Physics and Society · Physics 2015-06-16 Till Hoffmann , Mason A. Porter , Renaud Lambiotte

We present a model of soft active particles that leads to a rich array of collective behavior found also in dense biological swarms of bacteria and other unicellular organisms. Our model uses only local interactions, such as Vicsek-type…

Soft Condensed Matter · Physics 2016-10-13 Ruben van Drongelen , Anshuman Pal , Carl P. Goodrich , Timon Idema

We investigate interaction networks that we derive from multivariate time series with methods frequently employed in diverse scientific fields such as biology, quantitative finance, physics, earth and climate sciences, and the…

Data Analysis, Statistics and Probability · Physics 2012-01-10 Stephan Bialonski , Martin Wendler , Klaus Lehnertz
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