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Spreading processes are often modelled as a stochastic dynamics occurring on top of a given network with edge weights corresponding to the transmission probabilities. Knowledge of veracious transmission probabilities is essential for…

Social and Information Networks · Computer Science 2016-09-01 Andrey Y. Lokhov

In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a…

Cell Behavior · Quantitative Biology 2018-08-02 Christèle Etchegaray , Nicolas Meunier

Understanding human mobility is crucial for applications such as forecasting epidemic spreading, planning transport infrastructure and urbanism in general. While, traditionally, mobility information has been collected via surveys, the…

Physics and Society · Physics 2019-09-02 Mattia Mazzoli , Alex Molas , Aleix Bassolas , Maxime Lenormand , Pere Colet , Jose J. Ramasco

We formulate a compartmental model for the propagation of a respiratory disease in a patchy environment. The patches are connected through the mobility of individuals, and we assume that disease transmission and recovery are possible during…

Populations and Evolution · Quantitative Biology 2021-10-11 Indrajit Ghosh , Sk Shahid Nadim , Soumyendu Raha , Debnath Pal

We present some ideas on how to extend a kinetic type model for crowd dynamics to account for an infectious disease spreading. We focus on a medium size crowd occupying a confined environment where the disease is easily spread. The kinetic…

Numerical Analysis · Mathematics 2021-04-05 Daewa Kim , Annalisa Quaini

Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring…

Social and Information Networks · Computer Science 2015-06-23 Mostafa Salehi , Payam Siyari , Matteo Magnani , Danilo Montesi

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

The transport of particles in cells is influenced by the properties of intracellular networks they traverse while searching for localized target regions or reaction partners. Moreover, given the rapid turnover in many intracellular…

Biological Physics · Physics 2024-06-21 Lachlan Elam , Mónica C. Quiñones-Frías , Ying Zhang , Avital A. Rodal , Thomas G. Fai

When considering airborne epidemic spreading in social systems, a natural connection arises between mobility and epidemic contacts. As individuals travel, possibilities to encounter new people either at the final destination or during the…

Physics and Society · Physics 2024-05-10 Jesús A. Moreno López , Sandro Meloni , Jose J. Ramasco

Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

Physics and Society · Physics 2023-01-03 Klaus Kroy

Growing evidence suggests that the macroscopic functional states of urban road networks exhibit multistability and hysteresis, but microscopic mechanisms underlying these phenomena remain elusive. Here, we demonstrate that in real-world…

Physics and Society · Physics 2025-12-17 Jung-Hoon Jung , Young-Ho Eom

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

Physics and Society · Physics 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

The transport of virus-laden aerosols from a host to a susceptible person is governed by complex turbulent airflow, and physics related to breathing, coughing and sneezing, mechanical and passive ventilation, thermal buoyancy effects,…

Fluid Dynamics · Physics 2024-06-19 Zhihang Zhang , Jesse Capecelatro , Kevin Maki

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

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…

Statistical Mechanics · Physics 2025-05-16 Sara Najem , Leonid Klushin , Jihad Touma

Deterministic models are developed for the spatial spread of epidemic diseases in geographical settings. The models are focused on outbreaks that arise from a small number of infected hosts imported into sub-regions of the geographical…

Populations and Evolution · Quantitative Biology 2018-01-08 Pierre Magal , Glenn F. Webb , Yixiang Wu

This work analyzes fractional continuous-time random walks on two-layer multiplexes. A node-centric dynamics is used, in which it is assumed a Poisson distribution of a walker to become active, while a jump to one of its neighbors depends…

Physics and Society · Physics 2020-01-29 Alfonso Allen-Perkins , Roberto F. S. Andrade

Transport phenomena are ubiquitous in nature and known to be important for various scientific domains. Examples can be found in physics, electrochemistry, heterogeneous catalysis, physiology, etc. To obtain new information about diffusive…

Probability · Mathematics 2007-05-23 Denis S. Grebenkov

It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of…

Analysis of PDEs · Mathematics 2020-11-16 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi