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Related papers: Spatial population genetics with fluid flow

200 papers

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

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

This paper studies spatial patterns formed by proximate population migration driven by real wage gradients and other idiosyncratic factors. The model consists of a tractable core-periphery model incorporating a quasi-linear log utility…

Theoretical Economics · Economics 2025-07-23 Kensuke Ohtake

Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to their emergent space use patterns in a concrete mathematical…

Populations and Evolution · Quantitative Biology 2025-04-16 Jonathan R. Potts

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

Conjugation accelerates bacterial evolution by enabling bacteria to acquire genes horizontally from their neighbors. Plasmid donors must physically encounter and connect with recipients to allow plasmid transfer, and different environments…

Biological Physics · Physics 2025-08-08 Matti Zbinden , Jana S. Huisman , Natasha Blitvic , Roman Stocker , Jonasz Słomka

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

Populations and Evolution · Quantitative Biology 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn

Species introductions promote secondary contacts between taxa with long histories of allopatric divergence. Anthropogenic contact zones thus offer valuable contrasts to speciation studies in natural systems where past spatial isolations may…

Populations and Evolution · Quantitative Biology 2020-06-11 Frédérique Viard , Cynthia Riginos , Nicolas Bierne

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

When studying the dynamics of trait distribution of populations in a heterogeneous environment, classical models from quantitative genetics choose to look at its system of moments, specifically the first two ones. Additionally, in order to…

Populations and Evolution · Quantitative Biology 2020-12-21 Léonard Dekens

We model and study the genetic evolution and conservation of a population of diploid hermaphroditic organisms, evolving continuously in time and subject to resource competition. In the absence of mutations, the population follows a 3-type…

Probability · Mathematics 2012-07-23 Camille Coron

Dispersal is a well recognized driver of ecological and evolutionary dynamics, and simultaneously an evolving trait. Dispersal evolution has traditionally been studied in single-species metapopulations so that it remains unclear how…

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

Dynamical Systems · Mathematics 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Fluid flow has a major effect on the aggregation and fragmentation of bacterial colonies. Yet, a generic framework to understand and predict how hydrodynamics affects colony size remains elusive. This study investigates how fluid flow…

Soft Condensed Matter · Physics 2026-04-21 Yuri Z. Sinzato , Robert Uittenbogaard , Petra M. Visser , Jef Huisman , Maziyar Jalaal

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

Recent microbial experiments suggest that enhanced genetic drift at the frontier of a two-dimensional range expansion can cause genetic sectoring patterns with fractal domain boundaries. Here, we propose and analyze a simple model of…

Populations and Evolution · Quantitative Biology 2008-12-12 Oskar Hallatschek , David R. Nelson

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 use direct numerical simulation to study the temporal evolution of a perturbation localized on the turbulent layer that typically separates a cloud from the surrounding clear air. Across this shearless layer, a turbulent kinetic energy…

This work investigates a model describing the interaction of two species in habiting separate but adjacent areas. These populations are governed by a system of equations that account for spatial variations in growth rates and the effects of…

Analysis of PDEs · Mathematics 2025-07-25 Pablo Álvarez-Caudevilla , Cristina Brändle , Fermin González-Pereiro

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