English
Related papers

Related papers: Waves of desertification in a competitive ecosyste…

200 papers

We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is…

Probability · Mathematics 2016-09-15 R. McVinish , P. K. Pollett , Y. S. Chan

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).…

Probability · Mathematics 2021-09-15 Gauthier Delvoye , Olivier Goubet , Frédéric Paccaut

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…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

Spatial structure and species interactions jointly shape the dynamics and biodiversity of ecological systems, yet most theoretical models either neglect spatial heterogeneity or sacrifice analytical tractability. Here, we provide a unified…

Populations and Evolution · Quantitative Biology 2026-05-08 Davide Bernardi , Alice Doimo , Giorgio Nicoletti , Prajwal Padmanabha , Andrea Rinaldo , Samir Suweis , Sandro Azaele , Amos Maritan

Feeding a larger and wealthier global population without transgressing ecological limits is increasingly challenging, as rising food demand (especially for animal products) intensifies pressure on ecosystems, accelerates deforestation, and…

Theoretical Economics · Economics 2025-10-17 Moretti Elia , Loreau Michel , Benzaquen Michael

The spatial dispersal of individuals is known to play an important role in the dynamics of populations, and is central to metapopulation theory. At the same time, local adaptation to environmental conditions creates a geographic mosaic of…

Populations and Evolution · Quantitative Biology 2017-09-25 Justin D. Yeakel , Jean P. Gibert , Peter A. H. Westley , Jonathan W. Moore

Anthropogenic activity threatens biodiversity through climate change, habitat fragmentation, and increasing frequency and scale of disturbance. Various theoretical studies have sought to shed light on how these factors could promote or…

Populations and Evolution · Quantitative Biology 2026-04-01 Isaac Planas-Sitjà , Ryosuke Iritani , Adam L. Cronin

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

Populations and Evolution · Quantitative Biology 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

Metapopulations are models of ecological systems, describing the interactions and the behavior of populations that live in fragmented habitats. In this paper, we present a model of metapopulations based on the multivolume simulation…

Computational Engineering, Finance, and Science · Computer Science 2010-08-20 Daniela Besozzi , Paolo Cazzaniga , Dario Pescini , Giancarlo Mauri

Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate of spatially extended natural populations. We propose new…

Probability · Mathematics 2012-10-18 Vincent Bansaye , Amaury Lambert

Modelling how populations respond to habitat loss is crucial for understanding ecosystem stability, especially when positive interactions among resource species, such as plant-plant facilitation, play a key role. Habitat loss not only…

Dynamical Systems · Mathematics 2026-04-20 Teodoro Mayayo , Josep Sardanyés , Joan Torregrosa

Cyclic dominance between species may yield spiral waves that are known to provide a mechanism enabling persistent species coexistence. This observation holds true even in presence of spatial heterogeneity in the form of quenched disorder.…

Populations and Evolution · Quantitative Biology 2020-02-05 Ryan Baker , Michel Pleimling

This article explores the dynamics of savanna ecosystems with grazing, browsing, and migration effects. Covering over one-eighth of the Earth's land area and supporting about one-fifth of the global population, the savanna is an ecological…

Populations and Evolution · Quantitative Biology 2026-01-21 Chiun-Chuan Chen , Ting-Yang Hsiao , Shun-Chieh Wang

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

Understanding the influence of structure of dispersal network on the species persistence and modeling a much realistic species dispersal in nature are two central issues in spatial ecology. A realistic dispersal structure which favors the…

Adaptation and Self-Organizing Systems · Physics 2017-10-18 Anubhav Gupta , Tanmoy Banerjee , Partha Sharathi Dutta

The extinction of species is a core process that affects the diversity of life on Earth. One way of investigating the causes and consequences of extinctions is to build conceptual ecological models, and to use the dynamical outcomes of such…

Populations and Evolution · Quantitative Biology 2017-11-28 Sergey A. Vakulenko , Ivan Sudakov , Luke Mander

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

Metapopulation models have been instrumental in demonstrating the ecological impact of landscape structure on the survival of a focal species in complex environments. However, extensions to multiple species with arbitrary dispersal networks…

Populations and Evolution · Quantitative Biology 2024-11-06 Prajwal Padmanabha , Giorgio Nicoletti , Davide Bernardi , Samir Suweis , Sandro Azaele , Andrea Rinaldo , Amos Maritan

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels