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Species introductions to new habitats can cause a decline in the population size of competing native species and consequently also in their genetic diversity. We are interested in why these adverse effects are weak in some cases whereas in…

Populations and Evolution · Quantitative Biology 2013-01-03 Meike J. Wittmann , Martin Hutzenthaler , Wilfried Gabriel , Dirk Metzler

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

Complex microbial habitats see the spatial competition of different clonal bacterial populations that switch between different phenotypes. Here, we determine the effect of this subpopulation structure on the invasion of one species by…

Populations and Evolution · Quantitative Biology 2026-05-12 Diego Manso Anda , Pierre A. Haas

We propose a general model to study the interplay between spatial dispersal and environment spatiotemporal fluctuations in metapopulation dynamics. An ecological landscape of favorable patches is generated like a L\'{e}vy dust, which allows…

Populations and Evolution · Quantitative Biology 2015-08-20 E. H. Colombo , C. Anteneodo

Molecular phenotypes link genomic information with organismic functions, fitness, and evolution. Quantitative traits are complex phenotypes that depend on multiple genomic loci. In this paper, we study the adaptive evolution of a…

Populations and Evolution · Quantitative Biology 2015-06-19 Torsten Held , Armita Nourmohammad , Michael Lässig

Models of coordinated behavior of populations living in the same environment are introduced for the cases when they either compete with each other, or they both gain by mutual interactions, or finally when one hunts the other one. The…

Dynamical Systems · Mathematics 2014-03-19 D. Melchionda , E. Pastacaldi , C. Perri , E. Venturino

The savanna biome is characterised by a continuous vegetation cover, comprised of herbaceous and woody plants. The coexistence of species in arid savannas, where water availability is the main limiting resource for plant growth, provides an…

Populations and Evolution · Quantitative Biology 2019-11-26 Lukas Eigentler , Jonathan A Sherratt

We introduce and analyse an individual-based evolutionary model, in which a population of genetically diverse organisms compete with each other for limited resources. Through theoretical analysis and stochastic simulations, we show that the…

Populations and Evolution · Quantitative Biology 2012-11-02 Tim Rogers , Alan J. McKane , Axel G. Rossberg

In this paper we introduce a class of stochastic population models based on "patch dynamics". The size of the patch may be varied, and this allows one to quantify the departures of these stochastic models from various mean field theories,…

Populations and Evolution · Quantitative Biology 2009-11-11 A. J. McKane , T. J. Newman

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 study the stochastic evolution of four species in cyclic competition in a well mixed environment. In systems composed of a finite number $N$ of particles these simple interaction rules result in a rich variety of extinction scenarios,…

Statistical Mechanics · Physics 2012-07-09 C. H. Durney , S. O. Case , M. Pleimling , R. K. P. Zia

Although many phenotypic traits are determined by a large number of genetic variants, how a polygenic trait adapts in response to the changes in the environment is still poorly understood. Here we study the adaptation dynamics of a…

Populations and Evolution · Quantitative Biology 2018-10-19 Kavita Jain , Archana Devi

The Weismann barrier, or the impossibility of inheritance of acquired traits, comprises a foundation of modern biology, and it has been a major obstacle in establishing the connection between evolution and ontogenesis. We propose the…

Populations and Evolution · Quantitative Biology 2013-09-20 Ken Nishikawa , Akira R. Kinjo

This work is devoted to studying the dynamics of a structured population that is subject to the combined effects of environmental stochasticity, competition for resources, spatio-temporal heterogeneity and dispersal. The population is…

Probability · Mathematics 2018-01-24 Alexandru Hening , Dang H. Nguyen , George Yin

Environmental stochasticity is known to be a destabilizing factor, increasing abundance fluctuations and extinction rates of populations. However, the stability of a community may benefit from the differential response of species to…

Populations and Evolution · Quantitative Biology 2016-02-10 Matan Danino , Nadav M. Shnerb , Sandro Azaele , William E. Kunin , David A. Kessler

Across plant communities worldwide, fire regimes reflect a combination of climatic factors and plant characteristics. To shed new light on the complex relationships between plant characteristics and fire regimes, we developed a new…

Populations and Evolution · Quantitative Biology 2023-04-18 Marta Magnani , Rubén Díaz-Sierra , Luke Sweeney , Antonello Provenzale , Mara Baudena

Trait variation and similarity among coexisting species can provide a window into the mechanisms that maintain their coexistence. Recent theoretical explorations suggest that competitive interactions will lead to groups, or clusters, of…

Populations and Evolution · Quantitative Biology 2018-03-01 Rafael D'Andrea , Annette Ostling , James P O'Dwyer

Stochastic phenotype switching has been suggested to play a beneficial role in microbial populations by leading to the division of labour among cells, or ensuring that at least some of the population survives an unexpected change in…

Populations and Evolution · Quantitative Biology 2016-02-02 Andrew C. Tadrowski , Martin R. Evans , Bartlomiej Waclaw

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

Populations and Evolution · Quantitative Biology 2009-11-28 Per Arne Rikvold

We investigate the long-time behavior of phenotype-structured models describing evolutionary dynamics of asexual populations, and analyze the joint effects of nonlocal interactions and spatial resource distributions on the global dynamics…

Analysis of PDEs · Mathematics 2025-07-15 Shen Bian