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Passenger flows in a traffic network reflect spatial interaction patterns in an urban systems. Gravity models can be employed to quantitatively describe and predict spatial flows. However, how to model passenger flows and reveal the deep…

Physics and Society · Physics 2023-06-21 Zihan Wang , Yanguang Chen

We test a recently proposed model of commuting networks on 80 case studies from different regions of the world (Europe and United-States) and with geographic units of different sizes (municipality, county, region). The model takes as input…

Statistics Theory · Mathematics 2018-12-27 Maxime Lenormand , Sylvie Huet , Floriana Gargiulo , Guillaume Deffuant

Predicting human mobility patterns has many practical applications in urban planning, traffic engineering, infectious disease epidemiology, emergency management and location-based services. Developing a universal model capable of accurately…

Physics and Society · Physics 2019-04-22 Erjian Liu , Xiao-Yong Yan

In this paper we analyze the gravity model in the world passenger air-transport network. We show that in the standard form the model is inadequate to correctly describe the relationship between passenger flows and typical geo-economic…

Physics and Society · Physics 2016-11-28 Tomasz Ryczkowski , Agata Fronczak , Piotr Fronczak

We study the motion of substance in a finite channel that belongs to a network. The channel splits to two arms in a node of the network. There is an additional split of the secondary arm. We obtain analytical relationships for the…

Physics and Society · Physics 2019-01-09 Roumen Borisov , Nikolay K. Vitanov

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non contingent mobility in the context of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Mendeli H. Vainstein , Ana Tereza Costa Silva , Jeferson J. Arenzon

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Immigration can rescue local populations from extinction, helping to stabilise a metapopulation. Local population dynamics is important for determining the strength of this rescue effect, but the mechanistic link between local demographic…

Populations and Evolution · Quantitative Biology 2014-02-24 A. Eriksson , F. Elias Wolff , B. Mehlig , A. Manica

Human mobility is a fundamental aspect of social behavior, with broad applications in transportation, urban planning, and epidemic modeling. Represented by the gravity model and the radiation model, established analytical models for…

Physics and Society · Physics 2026-05-07 Hao Guo , Weiyu Zhang , Junjie Yang , Yuanqiao Hou , Lei Dong , Yu Liu

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

We explore the connection between migration patterns and emergent behaviors of evolving populations in spatially heterogeneous environments. Despite extensive studies in ecologically and medically important systems, a unifying framework…

Populations and Evolution · Quantitative Biology 2024-01-10 Casey O. Barkan , Shenshen Wang

This study develops a statistical model that integrates economic agglomeration theory and power-law distributions of city sizes to project future population distribution on 1-km grid cells. We focus on Japan -- a country at the forefront of…

General Economics · Economics 2025-05-14 Tomoya Mori , Daisuke Murakami

When light from a distant source object, like a galaxy or a supernova, travels towards us, it is deflected by massive objects that lie on its path. When the mass density of the deflecting object exceeds a certain threshold, multiple, highly…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-06 Jenny Wagner

Uncovering the mechanism leading to the scaling law in human trajectories is of fundamental importance in understanding many spatiotemporal phenomena. We propose a hierarchical geographical model to mimic the real traffic system, upon which…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Xiaopu Han , Qiang Hao , Binghong Wang , Tao Zhou

A crucial problem concerning a large variety of fusion devices is that the confinement due to an external magnetic field is lost above a critical density, while a widely accepted first principles explanation of such a fact is apparently…

Statistical Mechanics · Physics 2011-12-06 A. Carati , M. Zuin , A. Maiocchi , M. Marino , E. Martines , L. Galgani

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

Adaptation and Self-Organizing Systems · Physics 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

Migration is a fundamental trait in humans and animals. Recent studies investigated the effect of migration on the evolution of cooperation, showing that contingent migration favors cooperation in spatial structures. In those studies, only…

Populations and Evolution · Quantitative Biology 2013-11-05 Genki Ichinose , Masaya Saito , Hiroki Sayama , David Sloan Wilson

In this paper, a model (called the elliptic model) is proposed to estimate the number of social ties between two locations using population data in a similar manner to how transportation research deals with trips. To overcome the asymmetry…

Physics and Society · Physics 2014-05-05 C Herrera-Yagüe , CM Schneider , Z Smoreda , T Couronné , PJ Zufiria , MC González

In recent years, considerable attention has been paid to research and development methods able to assess the seismic energy propagation on the territory. The seismic energy propagation is strongly related to the complexity of the source and…

Computational Physics · Physics 2018-04-11 Giulio Zuccaro , Daniela De Gregorio , Magdalini Titirla , Mariano Modano , Luciano Rosati
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