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We use the optimal foraging theory to study coexistence between two plant species and a generalist pollinator. We compare conditions for plant coexistence for non-adaptive vs. adaptive pollinators that adjust their foraging strategy to…

Populations and Evolution · Quantitative Biology 2016-08-22 Tomás A. Revilla , Vlastimil Křivan

Cell competition in multicellular organisms has been shown to play a critical role during the development of organisms, cancer progression, and in the establishment and maintenance of tissue homeostasis. Various mechanisms of cell…

Biological Physics · Physics 2025-10-27 Hossein Nemati , Saskia Jacoba Elisabeth Suijkerbuijk , Joost de Graaf

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

The Lotka-Volterra model reflects real ecological interactions where species compete for limited resources, potentially leading to coexistence, dominance of one species, or extinction of another. Comprehending the mechanisms governing these…

Analysis of PDEs · Mathematics 2024-10-01 Maicon Sonego , Enrique Zuazua

This work is concerned with the large time behavior of the solutions of a parabolic-ODE hybrid system, modeling the competition of two populations which are identical except their movement behaviors: one species moves by random dispersal…

Analysis of PDEs · Mathematics 2019-10-01 Yuan Lou , Rachidi B. Salako

Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

We introduce an asymmetric noisy voter model to study the joint effect of immigration and a competition-dispersal tradeoff in the dynamics of two species competing for space in regular lattices. Individuals of one species can invade a…

Populations and Evolution · Quantitative Biology 2021-03-17 Ricardo Martinez-Garcia , Cristóbal López , Federico Vazquez

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

Physics and Society · Physics 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

We present a simple model of adaptive radiations in evolution based on species competition. Competition is found to promote species divergence and branching, and to dampen the net species production. In the model simulations, high taxonomic…

Populations and Evolution · Quantitative Biology 2007-05-23 Birgitte Freiesleben De Blasio , Fabio Vittorio De Blasio

Dispersal of species is a fundamental ecological process in the evolution and maintenance of biodiversity. Limited control over ecological parameters has hindered progress in understanding of what enables species to colonise new area, as…

Populations and Evolution · Quantitative Biology 2014-05-21 Markus F. Weber , Gabriele Poxleitner , Elke Hebisch , Erwin Frey , Madeleine Opitz

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

Predator prey interactions are one of ecology's central research themes, but with many interdisciplinary implications across the social and natural sciences. Here we consider an often-overlooked species in these interactions, namely…

Populations and Evolution · Quantitative Biology 2024-07-16 Sayantan Nag Chowdhury , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

Many natural ecosystems harbor large numbers of coexisting species competing for far fewer distinct resources, in apparent defiance of the competitive exclusion principle. Various mechanisms have been proposed to explain this apparent…

Populations and Evolution · Quantitative Biology 2026-03-24 Leonardo Aguirre , José A. Capitán , David Alonso

We propose and study {a generalized Beverton-Holt competition model} subject to Allee effects to obtain insights on how the interplay of Allee effects and contest competition affects the persistence and the extinction of two competing…

Dynamical Systems · Mathematics 2015-05-25 Yun Kang

The evolution of antimicrobial resistance can be strongly affected by variations of antimicrobial concentration. Here, we study the impact of periodic alternations of absence and presence of antimicrobial on resistance evolution in a…

Populations and Evolution · Quantitative Biology 2020-04-14 Loïc Marrec , Anne-Florence Bitbol

Community ecology has traditionally relied on the competitive exclusion principle, a piece of common wisdom in conceptual frameworks developed to describe species assemblages. Key concepts in community ecology, such as limiting similarity…

Populations and Evolution · Quantitative Biology 2016-08-15 Jose A. Capitan , Sara Cuenda , David Alonso

This paper is concerned with a nonlocal diffusion Lotka-Volterra type competition model that consisting of a native species and an invasive species in a one-dimensional habitat with free boundaries. We prove the well-posedness of the system…

Dynamical Systems · Mathematics 2019-05-24 Jia-Feng Cao , Wan-Tong Li , Jie Wang

Bacterial conglomerates such as biofilms and microcolonies are ubiquitous in nature and play an important role in industry and medicine. In contrast to well-mixed, diluted cultures routinely used in microbial research, bacteria in a…

Biological Physics · Physics 2017-01-13 Fred F. Farrell , Matti Gralka , Oskar Hallatschek , Bartlomiej Waclaw

This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of differential equations is formally obtained by renormalizing the MacArthur's competition model at…

Dynamical Systems · Mathematics 2020-07-27 Wenli Cai , Hailiang Liu

Bacteriophage-bacteria interactions are central to microbial ecology, influencing evolution, biogeochemical cycles, and pathogen behavior. Most theoretical models assume static environments and passive bacterial hosts, neglecting the joint…

Biological Physics · Physics 2025-12-10 Hao-Neng Luo , Zhi-Xi Wu , Jian-Yue Guan
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