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Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

Many species live in colonies that thrive for a while and then collapse. Upon collapse very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce spatial and…

Probability · Mathematics 2019-03-05 Fábio Prates Machado , Alejandro Roldán-Correa , Rinaldo B. Schinazi

The storage effect is a general explanation for coexistence in a variable environment. The generality of the storage effect is both a strength - it can be quantified in many systems - and a challenge - there is not a clear relationship…

Populations and Evolution · Quantitative Biology 2022-01-19 Evan Johnson , Alan Hastings

The eco-evolutionary dynamics of species are fundamentally linked to the energetic constraints of its constituent individuals. Of particular importance is the interplay between reproduction and the dynamics of starvation and recovery. To…

Populations and Evolution · Quantitative Biology 2017-11-13 Justin D. Yeakel , Christopher P. Kempes , Sidney Redner

Does an ecological community allow stable coexistence? Identifying the general principles that determine the answer to this question is a central problem of theoretical ecology. Random matrix theory approaches have uncovered the general…

Populations and Evolution · Quantitative Biology 2025-12-12 Yu Meng , Szabolcs Horvát , Carl D. Modes , Pierre A. Haas

Contemporary Niche Theory is a useful framework for understanding how organisms interact with each other and with their shared environment. Its graphical representation, popularized by Tilman's Resource Ratio Hypothesis, facilitates the…

Populations and Evolution · Quantitative Biology 2020-07-10 Fernanda S. Valdovinos , Robert Marsland

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

The simultaneous growth of multiple microbial species is a problem of fundamental ecological interest. In media containing more than one growth-limiting substrate, multiple species can coexist. The question then arises: Can single-species…

Populations and Evolution · Quantitative Biology 2007-05-23 Atul Narang , Sergei S. Pilyugin

This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can have an arbitrarily large number of coexistence states for…

Dynamical Systems · Mathematics 2025-08-11 Kousuke Kuto , Julián López-Gómez , Eduardo Muñoz-Hernández

The properties of competition models where all individuals are identical are relatively well-understood; however, juveniles and adults can experience or generate competition differently. We study here less well-known structured competition…

Populations and Evolution · Quantitative Biology 2023-03-22 Gaël Bardon , Frédéric Barraquand

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models. These growth rates correspond to average per-capita growth rates of one species with respect to…

Populations and Evolution · Quantitative Biology 2022-08-02 Josef Hofbauer , Sebastian J. Schreiber

Here we present extinction, extirpation and coexistence conditions where / when two communities combine. We consider one specific model where two communities coalesce, and another model where the communities coexist side by side, blending…

Populations and Evolution · Quantitative Biology 2025-01-14 Martin Heidelman , Dervis Can Vural

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:…

Populations and Evolution · Quantitative Biology 2021-09-07 Christopher M. Heggerud , King-Yeung Lam , Hao Wang

This paper presents an evaluation of several approaches of plants species distribution modeling based on spatial, environmental and co-occurrences data using machine learning methods. In particular, we re-evaluate the environmental…

Neural and Evolutionary Computing · Computer Science 2019-09-20 Benjamin Deneu , Maximilien Servajean , Christophe Botella , Alexis Joly

The self-protection of alliances against external invaders is a key concept behind the maintenance of biodiversity in the face of natural selection. But since these alliances, which can be formed by different numbers of competitors, can…

Populations and Evolution · Quantitative Biology 2022-12-07 Attila Szolnoki , Matjaz Perc

Dynamics of species' abundances in ecological communities are often described using models that only account for a few species. It is not clear when and why this would be possible, as most species form part of diverse ecological…

Populations and Evolution · Quantitative Biology 2024-09-11 Stav Marcus , Guy Bunin

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.…

Dynamical Systems · Mathematics 2025-11-07 Yves Dumont , Marc Hétier , Valaire Ivric Yatat-Djeumen

A deterministic two-species predator-prey model with prey herd behavior is considered incorporating mutual interference and the effect of fear. We provide guidelines to the dynamical analysis of biologically feasible equilibrium points. We…

Dynamical Systems · Mathematics 2022-12-20 Kwadwo Antwi-Fordjour , Rana D. Parshad , Hannah E. Thompson , Stephanie B. Westaway

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen