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We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

种群与进化 · 定量生物学 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

计算机科学与博弈论 · 计算机科学 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

种群与进化 · 定量生物学 2011-02-24 Alexei B. Ryabov , Bernd Blasius

We show how highly-diverse ecological communities may display persistent abundance fluctuations, when interacting through resource competition and subjected to migration from a species pool. This turns out to be closely related to the ratio…

统计力学 · 物理学 2020-02-12 Itay Dalmedigos , Guy Bunin

We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already…

偏微分方程分析 · 数学 2014-02-24 Sepideh Mirrahimi , Benoît Perthame , Joe Yuichiro Wakano

The paper explores the influence of harvesting (or culling) on the outcome of the competition of two species in a spatially heterogeneous environment. The harvesting effort is assumed to be proportional to the space-dependent intrinsic…

动力系统 · 数学 2019-05-01 Elena Braverman , Ilia Ilmer

Common-pool resource governance requires users to cooperate and avoid overexploitation, but defection and free-riding often undermine cooperation. We model a human-environmental system that integrates dynamics of resource and users'…

理论经济学 · 经济学 2024-01-23 Chengyi Tu , Renfei Chen , Ying Fan , Yongliang Yang

Competition indices are models frequently used in ecology to account for the impact of density and resource distribution on the growth of a plant population. They allow to define simple individual-based models, by integrating information…

偏微分方程分析 · 数学 2022-07-06 Antonin Della Noce , Paul-Henry Cournède

This study investigates the effect of competition between individuals on population dynamics when they compete for different resources during different seasons or during different growth stages. Individuals are assumed to compete for a…

种群与进化 · 定量生物学 2010-07-06 Masahiro Anazawa

Habitat fragmentation, often driven by human activities, alters ecological landscapes by disrupting connectivity and reshaping species interactions. In such fragmented environments, habitats can be modeled as networks, where individuals…

种群与进化 · 定量生物学 2025-11-07 James Austin Orgeron , Malbor Asllani

In populations competing for resources, it is natural to ask whether consuming fewer resources provides any selective advantage. To answer this question, we propose a Wright- Fisher model with two types of individuals: the inefficient…

We study an individual-based model in which two spatially-distributed species, characterized by different diffusivities, compete for resources. We consider three different ecological settings. In the first, diffusing faster has a cost in…

种群与进化 · 定量生物学 2016-01-27 Simone Pigolotti , Roberto Benzi

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

物理与社会 · 物理学 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

Understanding under what conditions populations, whether they be plants, animals, or viral particles, persist is an issue of theoretical and practical importance in population biology. Both biotic interactions and environmental fluctuations…

动力系统 · 数学 2015-12-16 Sebastian J. Schreiber

Intraspecific trait variation has been increasingly recognized as an important factor in determining species interaction and diversity. Eco-evolutionary models have studied the distribution of trait values within a population that changes…

种群与进化 · 定量生物学 2023-10-12 Zachary Jackson , BingKan Xue

We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents exchange wealth in pairwise collisions just as particles in a…

统计力学 · 物理学 2014-08-04 S. M. Apenko

The paper was suggested by a brief note of the second author about the application of the Hubbert curve to predict decay of resource exploitation. A further suggestion came from the interpretation of the Hubbert curve in terms of a specific…

种群与进化 · 定量生物学 2022-09-07 Enrico Canuto , Daniele Mazza

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

种群与进化 · 定量生物学 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

Winner-take-all phenomena are observed in various competitive systems. We find similar phenomena in replicator models with randomly fluctuating growth rates. The disparity between winners and losers increases indefinitely, even if all…

物理与社会 · 物理学 2016-03-23 Hidetsugu Sakaguchi