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In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble…

偏微分方程分析 · 数学 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

Cell division times in microbial populations display significant fluctuations, that impact the population growth rate in a non-trivial way. If fluctuations are uncorrelated among different cells, the population growth rate is predicted by…

种群与进化 · 定量生物学 2021-07-07 Simone Pigolotti

A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative…

物理与社会 · 物理学 2025-09-09 Gaëtan Laziou , Rémi Lemoy

In nature, most microbial populations have complex spatial structures that can affect their evolution. Evolutionary graph theory predicts that some spatial structures modelled by placing individuals on the nodes of a graph affect the…

种群与进化 · 定量生物学 2024-12-30 Alia Abbara , Lisa Pagani , Celia García-Pareja , Anne-Florence Bitbol

Meta-population networks are effective tools for capturing population movement across distinct regions, but the assumption of well-mixed regions fails to capture the reality of population higher-order interactions. As a multidimensional…

物理与社会 · 物理学 2024-06-18 Yanyi Nie , Yanbing Liu , Qixuan Cao , Tao Lin , Wei Wang

This paper derives a population sizing relationship for genetic programming (GP). Following the population-sizing derivation for genetic algorithms in Goldberg, Deb, and Clark (1992), it considers building block decision making as a key…

人工智能 · 计算机科学 2007-05-23 K. Sastry , U. -M. O'Reilly , D. E. Goldberg

Verhulst logistic curve either grows OR decays, depending on the {\it growth rate} parameter value. A similar situation is found in the Gompertz law about human mortality. However, growth can neither be infinite nor reach a finite steady…

生物物理 · 物理学 2015-03-19 Marcel Ausloos

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

物理与社会 · 物理学 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

Metapopulation theory for a long time has assumed dispersal to be symmetric, i.e. patches are connected through migrants dispersing bi-directionally without a preferred direction. However, for natural populations symmetry is often broken,…

种群与进化 · 定量生物学 2011-10-07 David Kleinhans , Per R. Jonsson

The survival of populations hinges on their ability to offset local extinctions through new colonizations. The dispersal area ($A$) plays a crucial role in this process, as it determines the probability of finding colonizable vacant sites.…

种群与进化 · 定量生物学 2026-01-05 Róbert Juhász , Igor D. Kovács , Beáta Oborny

The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit…

种群与进化 · 定量生物学 2015-06-30 Oskar Hallatschek , Lukas Geyrhofer

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

物理与社会 · 物理学 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

The Lotka-Euler equation is a mathematical expression used to study population dynamics and growth, particularly in the context of demography and ecology. The growth rate $\lambda$ is the speed at which an individual produce their…

种群与进化 · 定量生物学 2023-05-30 Carlos Hernandez-Suarez

We show here that population growth, resolved at the county level, is spatially heterogeneous both among and within the U.S. metropolitan statistical areas. Our analysis of data for over 3,100 U.S. counties reveals that annual population…

物理与社会 · 物理学 2022-10-11 Sandro M. Reia , P. Suresh C. Rao , Marc Barthelemy , Satish V. Ukkusuri

Continuum dislocation dynamics (CDD) has become the state-of-the-art theoretical approach for mesoscale dislocation plasticity of metals. Within this approach, there are multiple CDD theories that can all be derived from the principles of…

材料科学 · 物理学 2026-04-13 Joseph Pierre Anderson , Anter El-Azab

Zipfs Law states that rank-size distributions of city populations follow a power law with an exponent of -1. The assertion of a universal power law is controversial because the linearity and slope appear to vary over time and among…

物理与社会 · 物理学 2020-04-30 Christopher Small , Andrew J. MacDonald , Daniel Sousa

We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to power \alpha) and distance from city (to power -\beta) and…

物理与社会 · 物理学 2012-09-25 David Aldous , Bowen Huang

We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. The class contains examples such as binary contact path process and potlatch process. We…

概率论 · 数学 2009-07-27 Yukio Nagahata , Nobuo Yoshida

Biological evolution is realised through the same mechanisms of birth and death that underlie change in population density. The deep interdependence between ecology and evolution is well-established, and recent models focus on integrating…

种群与进化 · 定量生物学 2025-10-14 A. Bradley Duthie , Victor J. Luque

Lead/lag relationships are an important stylized fact at high frequency. Some assets follow the path of others with a small time lag. We provide indicators to measure this phenomenon using tick-by-tick data. Strongly asymmetric…

交易与市场微观结构 · 定量金融 2012-01-19 Nicolas Huth , Frédéric Abergel