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We study the problem of transfers in a population structured by a continuous variable corresponding to the quantity being transferred. The model takes the form of an integro-differential equations with kernels corresponding to the specific…

偏微分方程分析 · 数学 2025-02-10 Quentin Griette , Pierre Magal

We are concerned with a special form of the (stochastic) Allen-Cahn equation, which can be seen as a model of hybrid zones in population genetics. Individuals in the population can be of one of three types; $aa$ are fitter than $AA$, and…

概率论 · 数学 2022-04-04 Alison M. Etheridge , Mitchell D. Gooding , Ian Letter

This paper reviews recent attempts at modelling inequality of wealth as an emergent phenomenon of interacting-agent processes. We point out that recent models of wealth condensation which draw their inspiration from molecular dynamics have,…

多智能体系统 · 计算机科学 2007-05-23 Thomas Lux

Several tiers of social organization with varying economic and social disparities have been observed. However, a quantitative characterization of the types and the causal mechanisms for the transitions have hardly been explained. While…

物理与社会 · 物理学 2024-07-03 Kenji Itao , Kunihiko Kaneko

We derive the most probable distribution of resources for a simple society. We find that a probabilistic analysis forbids both too much and too less equity, and selects instead a minimally ordered state. We give the detailed calculations…

统计力学 · 物理学 2008-12-10 Daniel O. Badagnani

We consider continuous space-time decay-surge population models which are semi- stochastic processes for which deterministically declining populations, bound to fade away, are rein- vigorated at random times by bursts or surges of random…

概率论 · 数学 2021-11-09 Branda Goncalves , Thierry Huillet , Eva Löcherbach

The sustainable management of common resources often leads to a social dilemma known as the tragedy of the commons: individuals benefit from rapid extraction of resources, while communities as a whole benefit from more sustainable…

种群与进化 · 定量生物学 2025-02-11 Tianyong Yao , Daniel B. Cooney

Complex change is often described as "evolutionary" in economics, policy, and technology, yet most system dynamics models remain constrained to fixed state spaces and equilibrium-seeking behavior. This paper argues that evolutionary…

种群与进化 · 定量生物学 2026-02-19 Dan Adler

In this work, we consider a system of differential equations modeling the dynamics of some populations of preys and predators, moving in space according to rapidly oscillating time-dependent transport terms, and interacting with each other…

偏微分方程分析 · 数学 2015-12-08 Francois Castella , Philippe Chartier , Julie Sauzeau

The complex interplay between population movements in space and non-homogeneous mixing patterns have so far hindered the fundamental understanding of the conditions for spatial invasion through a general theoretical framework. To address…

物理与社会 · 物理学 2014-01-21 Andrea Apolloni , Chiara Poletto , Jose' J. Ramasco , Pablo Jensen , Vittoria Colizza

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

We consider the system of reaction-diffusion equations proposed in [8] as a population dynamics model. The first equation stands for the population density and models the ecological effects, namely dispersion and growth with a Allee effect…

偏微分方程分析 · 数学 2018-01-23 Matthieu Alfaro , Arnaud Ducrot

Simple agent based exchange models are a commonplace in the study of wealth distribution in an artificial economy. Generally, in a system that is composed of many agents characterized by their wealth and risk-aversion factor, two agents are…

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

种群与进化 · 定量生物学 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

This paper presents an agent-based model of population desegregation and provides a thorough analysis of the social behavior leading to it, namely, the contact hypothesis. Based on the parameters of frequency and intensity of influence of…

多智能体系统 · 计算机科学 2019-05-24 Kashif Zia , Dinesh Kumar Saini , Arshad Muhammad , Alois Ferscha

Deterministic evolutionary theory robustly predicts that populations displaying altruistic behaviours will be driven to extinction by mutant cheats that absorb common benefits but do not themselves contribute. Here we show that when…

种群与进化 · 定量生物学 2016-10-03 George W. A. Constable , Tim Rogers , Alan J. McKane , Corina E. Tarnita

We analyse a model consisting of a population of individuals which is subdivided into a finite set of demes, each of which has a fixed but differing number of individuals. The individuals can reproduce, die and migrate between the demes…

种群与进化 · 定量生物学 2014-08-20 George W A Constable , Alan J McKane

Cellular phones are now offering an ubiquitous means for scientists to observe life: how people act, move and respond to external influences. They can be utilized as measurement devices of individual persons and for groups of people of the…

物理与社会 · 物理学 2015-06-12 Shao-Meng Qin , Hannu Verkasalo , Mikael Mohtaschemi , Tuomo Hartonen , Mikko Alava

We consider the problem in regression analysis of identifying subpopulations that exhibit different patterns of response, where each subpopulation requires a different underlying model. Unlike statistical cohorts, these subpopulations are…

机器学习 · 统计学 2018-10-25 Alexander New , Curt Breneman , Kristin P. Bennett

We create a network model to study the spread of an epidemic through physically proximate and accidental daily human contacts in a city, and simulate outcomes for two kinds of agents - poor and non-poor. Under non-intervention, peak…

物理与社会 · 物理学 2021-01-27 Anand Sahasranaman , Henrik Jeldtoft Jensen