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We study a mathematical model inspired by a common scenario in northern Patagonia consisting of humans and their livestock living together with native wildlife. The main production system in this area is sheep farming, which due to wrong…

Populations and Evolution · Quantitative Biology 2019-02-01 Y. C. Daza C. , M. F. Laguna , J. A. Monjeau , G. Abramson

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

Populations and Evolution · Quantitative Biology 2024-04-10 Joachim Krug , Daniel Oros

Environmental heterogeneity is a determining factor of the structure of biological communities. Thus, understanding the distribution of species along environmental gradients provides assistance to conservation. The goal of this study was to…

Populations and Evolution · Quantitative Biology 2021-05-24 Eliana Celestino da Paixao do Rodrigues dos Santos

Notable recent works have focused on the multi-layer properties of coevolving diseases. We point out that very similar systems play an important role in population ecology. Specifically we study a meta food-web model that was recently…

Physics and Society · Physics 2016-03-23 Edmund Barter , Thilo Gross

We consider repeated allocation of a shared resource via a non-monetary mechanism, wherein a single item must be allocated to one of multiple agents in each round. We assume that each agent has i.i.d. values for the item across rounds, and…

Computer Science and Game Theory · Computer Science 2025-11-07 David X. Lin , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

Life systems are complex and hierarchical, with diverse components at different scales, yet they sustain themselves, grow, and evolve over time. How can a theory of such complex biological states be developed? Here we note that for a…

Biological Physics · Physics 2024-10-03 Kunihiko Kaneko

In this paper we consider the diffusive competition model with free boundary in the heterogeneous time-periodic environment, in which the variable intrinsic growth rates of invasive and native species may change signs and be "very negative"…

Analysis of PDEs · Mathematics 2015-04-28 Mingxin Wang

The ecological principle of limiting similarity dictates that species similar in resource requirements will compete, with the superior eventually excluding the inferior competitor from the community. The observation that nonetheless…

Populations and Evolution · Quantitative Biology 2010-08-17 Colleen K. Kelly , Michael G. Bowler , Jeffrey B. Joy , John N. Williams

The rise of trait-based ecology has led to an increased focus on the distribution and dynamics of traits in communities. However, a general theory of trait-based ecology, that can apply across different scales (e.g., species that differ in…

Populations and Evolution · Quantitative Biology 2015-02-25 Brian J. Enquist , Jon Norberg , Stephen P. Bonser , Cyrille Violle , Colleen T. Webb , Amanda Henderson , Lindsey L. Sloat , Van M. Savage

A theory of relative species abundance on sparsely-connected networks is presented by investigating the replicator dynamics with symmetric interactions. Sparseness of a network involves difficulty in analyzing the fixed points of the…

Statistical Mechanics · Physics 2016-12-21 Tomoyuki Obuchi , Yoshiyuki Kabashima , Kei Tokita

Dryland vegetation can survive water stress by forming spatial patterns but is often subjected to herbivory as an additional stress that puts it at risk of desertification. Understanding the mutual relationships between vegetation…

Populations and Evolution · Quantitative Biology 2026-02-17 Joydeep Singha , Hannes Uecker , Ehud Meron

Microbial colonies are experimental model systems for studying the colonization of new territory by biological species through range expansion. We study a generalization of the two-species Eden model, which incorporates local…

Biological Physics · Physics 2015-11-12 Jan-Timm Kuhr , Holger Stark

Microbial communities feature an immense diversity of species and this diversity is linked with outcomes ranging from ecosystem stability to medical prognoses. Yet the mechanisms underlying microbial diversity are under debate. While simple…

Biological Physics · Physics 2020-10-20 Amir Erez , Jaime G. Lopez , Benjamin Weiner , Yigal Meir , Ned S. Wingreen

The main objective of this article is to study the effect of the moisture on the planetary scale atmospheric circulation over the tropics. The modeling we adopt is the Boussinesq equations coupled with a diffusive equation of humidity and…

Atmospheric and Oceanic Physics · Physics 2011-10-19 Chun-Hsiung Hsia , Chang-Shou Lin , Tian Ma , Shouhong Wang

A balanced ratio of ocean to land is believed to be essential for an Earth-like biosphere and one may conjecture that plate-tectonics planets should be similar in geological properties. After all, the volume of continental crust evolves…

Earth and Planetary Astrophysics · Physics 2023-04-12 Dennis Höning , Tilman Spohn

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…

Populations and Evolution · Quantitative Biology 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

We demonstrate diversification rather than optimisation for highly interacting organisms in a well mixed biological system by means of a simple model and reference to experiment, and find the cause to be the complex network of interactions…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen , Kunihiko Kaneko

Neutral models for the dynamics of a system of competing species are used, nowadays, to describe a wide variety of empirical communities. These models are used in many situations, ranging from population genetics and ecological biodiversity…

Populations and Evolution · Quantitative Biology 2015-10-28 Matan Danino , Nadav M. Shnerb

We develop a new statistical procedure to monitor, with opportunist data, relative species abundances and their respective preferences for dierent habitat types. Following Giraud et al. (2015), we combine the opportunistic data with some…

Applications · Statistics 2017-06-27 Camille Coron , Clément Calenge , Christophe Giraud , Romain Julliard