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We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class Processor-Sharing queue to model one representative cell of…

概率论 · 数学 2019-09-11 Florian Simatos , Alain Simonian

This article proposes a new model to describe human intra-city mobility. The goal is to combine the convection-diffusion equation to describe commuting people's movement and the density of individuals at home. We propose a new model…

偏微分方程分析 · 数学 2023-10-02 Pierre Magal

Urban displacement - when a household is forced to relocate due to conditions affecting its home or surroundings - often results from rising housing costs, particularly in wealthy, prosperous cities. However, its dynamics are complex and…

物理与社会 · 物理学 2018-08-29 Geoff Boeing

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

综合经济学 · 经济学 2020-02-20 Simone Righi , Yuri Biondi

In evolution theory the concept of a fitness landscape has played an important role, evolution itself being portrayed as a hill-climbing process on a rugged landscape. In this article it is shown that in general, in the presence of other…

适应与自组织系统 · 物理学 2016-11-17 C. R. Stephens

The worthwhile-to-move incremental principle is a mechanism where, at each step, the agent, before moving and after exploration around the current state, compares intermediate advantages and costs to change to advantages and costs to stay.…

最优化与控制 · 数学 2009-05-11 Hedy Attouch , Antoine Soubeyran

In this paper, we present a study of a mobility game with uncertainty in the decision-making of travelers and incorporate prospect theory to model travel behavior. We formulate a mobility game that models how travelers distribute their…

系统与控制 · 电气工程与系统科学 2024-03-20 Ioannis Vasileios Chremos , Heeseung Bang , Aditya Dave , Viet-Anh Le , Andreas A. Malikopoulos

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

统计力学 · 物理学 2020-10-06 Thomas Gueudré , David Martin

We introduce Wasserstein-like dynamical transport distances between vector-valued densities on the real line. The mobility function from the scalar theory is replaced by a mobility matrix, that is subject to positivity and concavity…

偏微分方程分析 · 数学 2016-01-18 Jonathan Zinsl , Daniel Matthes

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

物理与社会 · 物理学 2026-03-24 Lei Dong

Opportunities such as higher education can promote intergenerational mobility, leading individuals to achieve levels of socioeconomic status above that of their parents. We develop a dynamic model for allocating such opportunities in a…

计算机与社会 · 计算机科学 2021-01-22 Hoda Heidari , Jon Kleinberg

We consider a reaction-diffusion model for a population structured in phenotype. We assume that the population lives in a heterogeneous periodic environment, so that a given phenotypic trait may be more or less fit according to the spatial…

偏微分方程分析 · 数学 2025-03-07 Nathanaël Boutillon , Luca Rossi

Road transport sector is found to be one of the major emitters, and responsible for serious air pollution and huge pubic health losses. One important parameter for determining the consequences of transport demand shocks for the…

经济学 · 定量金融 2016-12-09 Ling-yun He , Li Liu

We model a spatially detailed, two-sex population dynamics, to study the cost of ecological restoration. We assume that cost is proportional to the number of individuals introduced into a large habitat. We treat dispersal as homogeneous…

种群与进化 · 定量生物学 2014-03-20 F. Molnar , C. Caragine , T. Caraco , G. Korniss

Cells are complex structures which require considerable amounts of organization via transport of large intracellular cargo. While passive diffusion is often sufficiently fast for the transport of smaller cargo, active transport is necessary…

生物大分子 · 定量生物学 2018-08-29 Robert Blackwell , David Jung , Mona Bukenberger , Ana-Sunčana Smith

In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model becomes very sensitive towards…

统计力学 · 物理学 2022-01-31 Sahil Islam , Argha Mondal , Mauro Mobilia , Sirshendu Bhattacharyya , Chittaranjan Hens

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

材料科学 · 物理学 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

Stochastic models of diffusion are routinely used to study dispersal of populations, including populations of animals, plants, seeds and cells. Advances in imaging and field measurement technologies mean that data are often collected across…

元胞自动机与格子气 · 物理学 2026-05-18 Matthew J Simpson , Michael J Plank

Mobility-on-Demand platforms are a fast growing component of the urban transit ecosystem. Though a growing literature addresses the question of how to make individual MoD platforms more efficient, much less is known about the cost of market…

系统与控制 · 计算机科学 2018-03-06 Thibault Séjourné , Samitha Samaranayake , Siddhartha Banerjee