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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

Evolutionary game theory has traditionally employed deterministic models to describe population dynamics. These models, due to their inherent nonlinearities, can exhibit deterministic chaos, where population fluctuations follow complex,…

Populations and Evolution · Quantitative Biology 2025-04-02 Maria Alejandra Ramirez , George Datseris , Arne Traulsen

The influence of migration on the stochastic dynamics of subdivided populations is still an open issue in various evolutionary models. We develop here a self-consistent mean-field-like method in order to determine the effects of migration…

Statistical Mechanics · Physics 2014-04-10 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

Natural selection acts on traits at different scales, often with opposing consequences. This article identifies the particular forces that act at each scale and how those forces combine to determine the overall evolutionary outcome. A…

Populations and Evolution · Quantitative Biology 2025-10-30 Steven A. Frank

Over the past century, nonlinear difference and differential equations have been used to understand conditions for species coexistence. However, these models fail to account for random fluctuations due to demographic and environmental…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber

Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The…

Populations and Evolution · Quantitative Biology 2015-12-07 Bijan Sarkar

We investigate the phenomenology emerging from a 2-species dynamics under the scenario of a quasi-neutral competition within a metapopulation framework. We employ stochastic and deterministic approaches, namely spatially-constrained…

Populations and Evolution · Quantitative Biology 2021-02-05 Marcelo A. Pires , Nuno Crokidakis , Silvio M. Duarte Queirós

We study the effects of demographic stochasticity on the long-term dynamics of biological coevolution models of community assembly. The noise is induced in order to check the validity of deterministic population dynamics. While mutualistic…

Populations and Evolution · Quantitative Biology 2010-04-16 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations and small mutation steps, that lead to a…

Probability · Mathematics 2007-05-23 Nicolas Champagnat , Amaury Lambert

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based stochastic model of clonal interference taking into account a…

Probability · Mathematics 2015-05-19 Sylvain Billiard , Charline Smadi

In contrast to the neutral population cycles of the deterministic mean-field Lotka--Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures…

Populations and Evolution · Quantitative Biology 2013-10-16 Ulrich Dobramysl , Uwe C. Tauber

We consider populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. In the case of sex- ual populations, we are able to derive models close to existing mod- els in theoretical biology, from a…

Analysis of PDEs · Mathematics 2011-05-11 Sepideh Mirrahimi , Gael Raoul

How the neutral diversity is affected by selection and adaptation is investigated in an eco-evolutionary framework. In our model, we study a finite population in continuous time, where each individual is characterized by a trait under…

Probability · Mathematics 2019-08-15 Sylvain Billiard , Regis Ferriere , Sylvie Méléard , Viet Chi Tran

We develop an theoretical approach for predicting biodiversity in multi-dimensional niche spaces, arising due to ecological drivers such as competitive exclusion. The novelty of our approach relies on the fact that ecological niches are…

Populations and Evolution · Quantitative Biology 2015-06-11 Tommaso Biancalani , Lee DeVille , Nigel Goldenfeld

Theoretically, communities at or near their equilibrium species number resist entry of new species. Such 'biotic resistance' recently has been questioned because of successful entry of alien species into diverse natural communities. Data on…

Populations and Evolution · Quantitative Biology 2010-04-15 Colleen K. Kellya , Stephen J. Blundell , Michael G. Bowler , Gordon A. Fox , Paul H. Harvey , Mark R. Lomas , F. Ian Woodward

Ecosystems dynamics is often considered as driven by a coupling of species' resource consumption and its population size dynamics. Such resource-population dynamics is captured by MacArthur-type models. One biologically relevant feature…

Populations and Evolution · Quantitative Biology 2023-07-10 Elena Bellavere , Christian H. S. Hamster , Joshua A. Dijksman

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

Populations and Evolution · Quantitative Biology 2015-06-11 Daniel S. Fisher

We discuss a simple model of co-evolution. In order to emphasise the effect of interaction between individuals the entire population is subjected to the same physical environment. Species are emergent structures and extinction, origination…

Statistical Mechanics · Physics 2007-05-23 Kim Christensen , Simone A. di Collobiano , Matt Hall , Henrik J. Jensen

The puzzle associated with the cost of sex, an old problem of evolutionary biology, is discussed here from the point of view of nonequilibrium statistical mechanics. The results suggest, in a simplified model, that the prevalence of sexual…

Populations and Evolution · Quantitative Biology 2013-08-20 Renato Vieira dos Santos