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We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane

In this work, using the theory of first-order macroscopic crowd models, we introduce a compartmental advection-diffusion model, describing the spatio-temporal dynamics of a population in different human behaviors (alert, panic and control)…

Analysis of PDEs · Mathematics 2024-02-12 K. Khalil , V. Lanza , D. Manceau , M. A. Aziz-Alaoui , D. Provitolo

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase…

Populations and Evolution · Quantitative Biology 2016-11-23 Tommaso Brotto , Guy Bunin , Jorge Kurchan

Differentiable simulators represent an environment's dynamics as a differentiable function. Within robotics and autonomous driving, this property is used in Analytic Policy Gradients (APG), which relies on backpropagating through the…

Artificial Intelligence · Computer Science 2025-11-14 Asen Nachkov , Danda Pani Paudel , Jan-Nico Zaech , Davide Scaramuzza , Luc Van Gool

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

Physics and Society · Physics 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang

An agent-based model (ABM) is a computational model in which the local interactions of autonomous agents with each other and with their environment give rise to global properties within a given domain. As the detail and complexity of these…

Dynamical Systems · Mathematics 2022-12-01 Daniel A. Cruz , Jack Toppen , Eunbi Park , Melissa L. Kemp , Elena S. Dimitrova

We analyze a nonlocal PDE model describing the dynamics of adaptation of a phenotypically structured population, under the effects of mutation and selection, in a changing environment. Previous studies have analyzed the large-time behavior…

Analysis of PDEs · Mathematics 2020-09-25 Lionel Roques , Florian Patout , Olivier Bonnefon , Guillaume Martin

Land use choices and activity prevalence in a selected territory are determined by individual preferences constrained by the characteristic of the analysed zone: population density, soil properties, urbanization level and other similar…

Physics and Society · Physics 2009-12-16 S. Ternes , F. Gargiulo , S. Huet , G. Deffuant

The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psychological processes which are still largely unknown. To model…

Physics and Society · Physics 2023-10-17 Thi Kim Thoa Thieu , Roderick Melnik

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

Statistical Mechanics · Physics 2015-06-24 A. De Martino , M. Marsili , R. Mulet

Agent-based modelling is a valuable approach for systems whose behaviour is driven by the interactions between distinct entities. They have shown particular promise as a means of modelling crowds of people in streets, public transport…

Multiagent Systems · Computer Science 2020-04-30 Nick Malleson , Kevin Minors , Le-Minh Kieu , Jonathan A. Ward , Andrew A. West , Alison Heppenstall

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

Recent advances in autonomous vehicle (AV) behavior planning have shown impressive social interaction capabilities when interacting with other road users. However, achieving human-like prediction and decision-making in interactions with…

Robotics · Computer Science 2025-07-29 Meiting Dang , Yanping Wu , Yafei Wang , Dezong Zhao , David Flynn , Chongfeng Wei

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf

Recent breakthroughs in autonomous driving have been propelled by advances in robust world modeling, fundamentally transforming how vehicles interpret dynamic scenes and execute safe decision-making. World models have emerged as a linchpin…

Robotics · Computer Science 2025-09-11 Tuo Feng , Wenguan Wang , Yi Yang

Human activity spaces are shaped by individual mobility and the built environment, motivating statistical methods that integrate GPS observations with GIS representations of places and routes. We propose a novel methodology to estimate…

Methodology · Statistics 2026-05-12 Haoyang Wu , Yen-Chi Chen , Adrian Dobra

As a key energy challenge, we urgently require a better understanding of how growing urban populations interact with municipal energy systems and the resulting impact on energy demand across city neighborhoods, which are dense hubs of both…

Physics and Society · Physics 2016-09-06 Neda Mohammadi , John E Taylor

This paper proposes a dual-time-scale, day-to-day dynamic traffic assignment model that takes into account variable message signs (VMS) and its interactions with drivers' travel choices and adaptive learning processes. The within-day…

Optimization and Control · Mathematics 2018-09-18 Ke Han , Margherita Lascia , Robin North , Simon Hu , Gabriel Eve

The 2030 Agenda for Sustainable Development of the United Nations outlines 17 goals as global challenges for countries of the world to address in their development. However, the progress of countries towards these goals has been much slower…

Urban water distribution systems hold a critical and strategic position in preserving public health and industrial growth. Despite the ubiquity of these urban systems, aging infrastructure, and increased risk of terrorism, decision support…

Other Computer Science · Computer Science 2014-07-03 Amin Rasekh , Kelly Brumbelow