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The paradox of the plankton highlights the apparent contradiction between Gause's law of competitive exclusion and the observed diversity of phytoplankton. It is well known that phytoplankton dynamics depend heavily on two main resources:…

种群与进化 · 定量生物学 2021-09-07 Christopher M. Heggerud , King-Yeung Lam , Hao Wang

Niche and neutral theory are two prevailing, yet much debated, ideas in ecology proposed to explain the patterns of biodiversity. Whereas niche theory emphasizes selective differences between species and interspecific interactions in…

种群与进化 · 定量生物学 2021-03-05 Jim Wu , Pankaj Mehta , David Schwab

This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).…

概率论 · 数学 2021-09-15 Gauthier Delvoye , Olivier Goubet , Frédéric Paccaut

Anthropisation and excessive hunting in tropical forests threaten biodiversity, ecosystem maintenance and human food security. In this article, we focus on the issue of coexistence between humans and wildlife in an anthropised environment.…

动力系统 · 数学 2025-11-07 Yves Dumont , Marc Hétier , Valaire Ivric Yatat-Djeumen

We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the…

动力系统 · 数学 2018-09-12 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren , Vladimir G. Tkachev

This paper investigates the dynamics of vegetation patterns in water-limited ecosystems using a generalized Klausmeier model that incorporates non-local plant dispersal within a finite habitat. We establish the well-posedness of the system…

偏微分方程分析 · 数学 2026-01-27 Maciej Tadej , Ricardo Martinez-Garcia , Michael Hecht

One of the first successes of neutral ecology was to predict realistically-broad distributions of rare and abundant species. However, it has remained an outstanding theoretical challenge to describe how this distribution of abundances…

种群与进化 · 定量生物学 2018-07-18 James P. O'Dwyer , Stephen J. Cornell

Population survival depends on a large set of factors that includes environment structure. Due to landscape heterogeneity, species can occupy particular regions that provide the ideal scenario for development, working as a refuge from…

统计力学 · 物理学 2020-11-04 M. A. F. dos Santos , V. Dornelas , E. H. Colombo , C. Anteneodo

Much of our understanding of ecological and evolutionary mechanisms derives from analysis of low-dimensional models: with few interacting species, or few axes defining "fitness". It is not always clear to what extent the intuition derived…

种群与进化 · 定量生物学 2018-02-14 Mikhail Tikhonov , Remi Monasson

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

种群与进化 · 定量生物学 2022-02-02 Farshad Shirani , Judith R. Miller

Multiscale modelling aims to systematically construct macroscale models of materials with fine microscale structure. However, macroscale boundary conditions are typically not systematically derived, but rely on heuristic arguments,…

动力系统 · 数学 2019-11-18 Chen Chen , A. J. Roberts , J. E. Bunder

How do interactions between species influence their spatial distribution in an ecosystem? To answer this question, we introduce a spatially-extended ecosystem of Generalized Lotka-Volterra type, where species can diffuse and interactions…

统计力学 · 物理学 2025-01-08 Alessandro Salvatore , Fabián Aguirre-López , Ruben Zakine

We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed points, persistent dynamics (e.g., limit cycles or chaos) have also been observed, both in…

适应与自组织系统 · 物理学 2025-09-10 Robin Delabays , Philippe Jacquod

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

We develop an theoretical approach for predicting biodiversity in multi-dimensional niche spaces, arising due to ecological drivers such as competitive exclusion. The novelty of our approach relies on the fact that ecological niches are…

种群与进化 · 定量生物学 2015-06-11 Tommaso Biancalani , Lee DeVille , Nigel Goldenfeld

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

种群与进化 · 定量生物学 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

种群与进化 · 定量生物学 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly…

种群与进化 · 定量生物学 2025-05-08 D. Bazeia , M. J. B. Ferreira , B. F. de Oliveira , W. A. dos Santos

The inhabitants of the bush lupine in coastal California have been the subject of scientific scrutiny in recent years. Observations of a host-parasitoid interaction in the shrub's foliage, in which victims are significantly less motile than…

种群与进化 · 定量生物学 2008-09-01 Roy Werner Wright

This is the second of two papers dedicated to the relationship between population models of competition and biodiversity. Here we consider species assembly models where the population dynamics is kept far from fixed points through the…

种群与进化 · 定量生物学 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani