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This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

Analysis of PDEs · Mathematics 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

Census and Household Travel Survey datasets are regularly collected from households and individuals and provide information on their daily travel behavior with demographic and economic characteristics. These datasets have important…

Machine Learning · Computer Science 2022-11-15 Eren Arkangil , Mehmet Yildirimoglu , Jiwon Kim , Carlo Prato

We build upon the recent steady-state Penna model solution, Phys.Rev.Lett. 89, 288103 (2002), to study the population dynamics within the Penna model. We show, that any perturbation to the population can be broken into a collection of modes…

Populations and Evolution · Quantitative Biology 2007-05-23 J. B. Coe , Y. Mao

We study the analysis of all the movements of the population on the basis of their mobility from one node to another, to observe, measure, and predict the impact of traffic according to this mobility. The frequency of congestion on roads…

Physics and Society · Physics 2024-11-14 Henock M. Mboko , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

With the consolidation of the culture of evidence-based policymaking, the availability of data has become central to policymakers. Nowadays, innovative data sources offer an opportunity to describe demographic, mobility, and migratory…

Computers and Society · Computer Science 2022-09-13 Claudio Bosco , Sara Grubanov-Boskovic , Stefano Iacus , Umberto Minora , Francesco Sermi , Spyridon Spyratos

Sampling-based planning is the predominant paradigm for motion planning in robotics. Most sampling-based planners use a global random sampling scheme to guarantee probabilistic completeness. However, most schemes are often inefficient as…

Robotics · Computer Science 2020-01-22 Tin Lai , Philippe Morere , Fabio Ramos , Gilad Francis

Urbanization has a strong impact on the health and wellbeing of populations across the world. Predictive spatial modeling of urbanization therefore can be a useful tool for effective public health planning. Many spatial urbanization models…

Machine Learning · Computer Science 2021-12-20 Tang Li , Jing Gao , Xi Peng

Human mobility plays a crucial role in transportation, urban planning, and public health. Advances in deep learning and the availability of diverse mobility data have transformed mobility modeling. However, existing deep learning models…

Machine Learning · Computer Science 2024-11-05 Xishun Liao , Qinhua Jiang , Brian Yueshuai He , Yifan Liu , Chenchen Kuai , Jiaqi Ma

Progress on modern scientific questions regularly depends on using large-scale datasets to understand complex dynamical systems. An especially challenging case that has grown to prominence with advances in single-cell sequencing…

Quantitative Methods · Quantitative Biology 2024-08-27 Aden Forrow

Understanding the patterns of mobility of individuals is crucial for a number of reasons, from city planning to disaster management. There are two common ways of quantifying the amount of travel between locations: by direct observations…

Physics and Society · Physics 2014-08-25 Vasyl Palchykov , Marija Mitrović , Hang-Hyun Jo , Jari Saramäki , Raj Kumar Pan

The aim of this manuscript is to contain the arguments and define the theoretical objects for building a general framework to model population dynamics from the ground up, relying mainly on the probabilistic landscapes defining the dynamics…

Populations and Evolution · Quantitative Biology 2023-04-26 Gui Araujo

Populations of interest are often hidden from data for a variety of reasons, though their magnitude remains important in determining resource allocation and appropriate policy. One popular approach to population size estimation, the…

Methodology · Statistics 2025-06-27 Mallory J Flynn , Paul Gustafson

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

Human mobility analysis is an important issue in social sciences, and mobility data are among the most sought-after sources of information in ur- Data ban studies, geography, transportation and territory management. In network sciences…

Computers and Society · Computer Science 2013-01-29 Thomas Couronne , Zbigniew Smoreda , Ana-Maria Olteanu

Urban development is shaped by historical, geographical, and economic factors, presenting challenges for planners in understanding urban form. This study models commute flows across multiple U.S. cities, uncovering consistent patterns in…

Physics and Society · Physics 2024-11-11 Margarita Mishina , Mingyi He , Venu Garikapati , Stanislav Sobolevsky

A new stochastic control problem of population dynamics under partial observation is formulated and analyzed both mathematically and numerically, with an emphasis on environmental and ecological problems. The decision-maker can only…

Optimization and Control · Mathematics 2020-04-13 Hidekazu Yoshioka , Yuta Yaegashi , Motoh Tsujimura

In this work we suggest a simple mathematical model for the dynamics of the population of children and adolescents without problematic behavior (criminal activities etc.). This model represents a typical population growth equation but with…

Populations and Evolution · Quantitative Biology 2007-09-04 Vladan Pankovic , Nikola Vunduk , Milan Predojevic

Ambulance services worldwide are of vital importance to population health. Timely responding to incidents by dispatching an ambulance vehicle to the location a call came from can offer significant benefits to patient care across a number of…

Computers and Society · Computer Science 2019-02-28 Gergana Todorova , Anastasios Noulas

Differential equations based on physical principals are used to represent complex dynamic systems in all fields of science and engineering. Through repeated use in both academics and industry, these equations have been shown to represent…

Methodology · Statistics 2022-09-08 Joshua S. North , Christopher K. Wikle , Erin M. Schliep

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci