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Two important problems affect the ability of asexual populations to accumulate beneficial mutations, and hence to adapt. First, clonal interference causes some beneficial mutations to be outcompeted by more-fit mutations which occur in the…

Populations and Evolution · Quantitative Biology 2008-04-08 Craig A. Fogle , James L. Nagle , Michael M. Desai

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis

Mutualistic networks are formed when the interactions between two classes of species are mutually beneficial. They are important examples of cooperation shaped by evolution. Mutualism between animals and plants plays a key role in the…

Populations and Evolution · Quantitative Biology 2013-08-23 Samir Suweis , Filippo Simini , Jayanth R. Banavar , Amos Maritan

Most organisms grow in space, whether they are viruses spreading within a host tissue or invasive species colonizing a new continent. Evolution typically selects for higher expansion rates during spatial growth, but it has been suggested…

Populations and Evolution · Quantitative Biology 2022-05-18 Hyunseok Lee , Jeff Gore , Kirill S. Korolev

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

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

Recent studies have shown that packings of cells, both eukaryotic cellular tissues and growing or swarming bacterial colonies, can often be understood as active nematic fluids. A key property of volume-conserving active nematic model…

Soft Condensed Matter · Physics 2022-05-12 Fabian Jan Schwarzendahl , Daniel A. Beller

When beneficial mutations are rare, they accumulate by a series of selective sweeps. But when they are common, many beneficial mutations will occur before any can fix, so there will be many different mutant lineages in the population…

Populations and Evolution · Quantitative Biology 2007-05-23 Michael M. Desai , Daniel S. Fisher

Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range expansions. We consider range expansion radii that grow with…

Populations and Evolution · Quantitative Biology 2015-06-02 Maxim O. Lavrentovich , David R. Nelson

When organisms adapt to spatially heterogeneous environments, selection may drive divergence at multiple genes. If populations under divergent selection also exchange migrants, we expect genetic differentiation to be high at selected loci,…

Populations and Evolution · Quantitative Biology 2014-07-21 Simon Aeschbacher , Reinhard Buerger

The symmetric distribution and all other states in the symmetry sector of the frequency trajectory increase mean fitness during competitive replication at sublinear propagation rates (parabolic time course). States in the non-symmetry…

Biological Physics · Physics 2007-05-23 Brian K. Davis

Cooperation within asymmetric populations has garnered significant attention in evolutionary games. This paper explores cooperation evolution in populations with weak and strong players, using a game model where players choose between…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Hao Guo , Chen Shen , Rongcheng Zou , Pin Tao , Yuanchun Shi , Zhen Wang , Junliang Xing

When beneficial mutations are relatively common, competition between multiple unfixed mutations can reduce the rate of fixation in well-mixed asexual populations. We introduce a one dimensional model with a steady accumulation of beneficial…

Populations and Evolution · Quantitative Biology 2013-02-19 Jakub Otwinowski , Stefan Boettcher

Antimicrobial resistance to drugs (AMR), a global threat to human and animal health, is often regarded as resulting from cooperative behaviour. Moreover, microbes generally evolve in volatile environments that, together with demographic…

Populations and Evolution · Quantitative Biology 2024-06-18 Lluís Hernández-Navarro , Matthew Asker , Mauro Mobilia

The growth and evolution of microbial populations is often subjected to advection by fluid flows in spatially extended environments, with immediate consequences for questions of spatial population genetics in marine ecology, planktonic…

Populations and Evolution · Quantitative Biology 2022-08-26 Roberto Benzi , David R. Nelson , Suraj Shankar , Federico Toschi , Xiaojue Zhu

A microscopic agent dynamical model for diploid age-structured populations is used to study evolution of polymorphism and sympatric speciation. The underlying ecology is represented by a unimodal distribution of resources of some width.…

Populations and Evolution · Quantitative Biology 2015-06-26 E. Brigatti , J. S. Sa' Martins , I. Roditi

We have simulated the evolution of age structured populations whose individuals represented by their diploid genomes were distributed on a square lattice. The environmental conditions on the whole territory changed simultaneously in the…

Populations and Evolution · Quantitative Biology 2009-11-05 Wojciech Waga , Marta Zawierta , Stanislaw Cebrat

Cooperation is ubiquitous ranging from multicellular organisms to human societies. Population structures indicating individuals' limited interaction ranges are crucial to understand this issue. But it is still at large to what extend…

Biological Physics · Physics 2014-04-18 Aming Li , Bin Wu , Long Wang

Antagonistic coevolution between hosts and parasites can have a major impact on host population structures, and hence on the evolution of social traits. Using stochastic modelling techniques in the context of bacteria-virus interactions, we…

Populations and Evolution · Quantitative Biology 2012-10-09 Benjamin J. Z. Quigley , Diana García López , Angus Buckling , Alan J. McKane , Sam P. Brown

Mutualistic interactions, which are beneficial for both interacting species, are recurrently present in ecosystems. Observations of natural systems showed that, if we draw mutualistic relationships as binary links between species, the…

Physics and Society · Physics 2019-08-21 Clàudia Payrató Borrás , Laura Hernández , Yamir Moreno