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The goal of this paper is to provide mathematically rigorous tools for modelling the evolution of a community of interacting individuals. We model the population by a measure space where the measure determines the abundance of individual…

Probability · Mathematics 2017-05-17 Thomas Cass , Terry Lyons

Pervasive natural selection can strongly influence observed patterns of genetic variation, but these effects remain poorly understood when multiple selected variants segregate in nearby regions of the genome. Classical population genetics…

Populations and Evolution · Quantitative Biology 2013-06-06 Benjamin H. Good , Aleksandra M. Walczak , Richard A. Neher , Michael M. Desai

We study the combined influence of selection and random fluctuations on the evolutionary dynamics of two-strategy ("cooperation" and "defection") games in populations comprising cooperation facilitators. The latter are individuals that…

Populations and Evolution · Quantitative Biology 2013-11-13 Mauro Mobilia

Confidence is an essential ingredient of success in a wide range of domains ranging from job performance and mental health, to sports, business, and combat. Some authors have suggested that not just confidence but overconfidence-believing…

Populations and Evolution · Quantitative Biology 2011-09-27 Dominic D. P. Johnson , James H. Fowler

We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

Populations and Evolution · Quantitative Biology 2018-04-04 Erdem Pulcu

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

Physics and Society · Physics 2021-07-07 A. Szolnoki , M. Perc

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

The adaptation process of a species to a new environment is a significant area of study in biology. As part of natural selection, adaptation is a mutation process which improves survival skills and reproductive functions of species. Here,…

Populations and Evolution · Quantitative Biology 2017-10-27 Maria Kleshnina , Jerzy A. Filar , Vladimir Ejov , Jody C. McKerral

The population is composed of individuals characterised by their genetic strings, phenotypes and ages. We discuss the influence of probabilities of survival of the individuals on the dynamics and phenotypic variability of the population. We…

Biological Physics · Physics 2009-11-10 Iwona Mroz

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

Analysis of PDEs · Mathematics 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques

Traditionally, resource limitation in evolutionary game theory is assumed just to impose a constant population size. Here we show that resource limitations may generate dynamical payoffs able to alter an original prisoner's dilemma, and to…

Populations and Evolution · Quantitative Biology 2012-10-26 Rubén J. Requejo , Juan Camacho

We study the dynamics of a population subject to selective pressures, evolving either on RNA neutral networks or in toy fitness landscapes. We discuss the spread and the neutrality of the population in the steady state. Different limits…

Populations and Evolution · Quantitative Biology 2009-11-13 Sumedha , Olivier C Martin , Luca Peliti

In this work we model the dynamics of a population that evolves as a continuous time branching process with a trait structure and ecological interactions in form of mutations and competition between individuals. We generalize existing…

Probability · Mathematics 2020-10-19 Gabriel Berzunza , Anja Sturm , Anita Winter

In evolution theory the concept of a fitness landscape has played an important role, evolution itself being portrayed as a hill-climbing process on a rugged landscape. In this article it is shown that in general, in the presence of other…

Adaptation and Self-Organizing Systems · Physics 2016-11-17 C. R. Stephens

Epochal dynamics, in which long periods of stasis in population fitness are punctuated by sudden innovations, is a common behavior in both natural and artificial evolutionary processes. We use a recent quantitative mathematical analysis of…

adap-org · Physics 2007-05-23 Erik van Nimwegen , James P. Crutchfield

Evolutionary game theory is an abstract and simple, but very powerful way to model evolutionary dynamics. Even complex biological phenomena can sometimes be abstracted to simple two-player games. But often, the interaction between several…

Populations and Evolution · Quantitative Biology 2011-06-22 Chaitanya S. Gokhale , Arne Traulsen

Using Monte Carlo model of biological evolution we have discovered that populations can switch between two different strategies of their genomes' evolution; Darwinian purifying selection and complementing the haplotypes. The first one is…

Populations and Evolution · Quantitative Biology 2009-11-13 Marta Zawierta , Wojciech Waga , Dorota Mackiewicz , Przemyslaw Biecek , Stanislaw Cebrat

Biodiversity widely observed in ecological systems is attributed to the dynamical balance among the competing species. The time-varying populations of the interacting species are often captured rather well by a set of deterministic…

Populations and Evolution · Quantitative Biology 2010-05-25 Yen-Chih Lin , Tzay-Ming Hong , Hsiu-Hau Lin

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

We argue that in Universes where future and past differ only by the entropy content a psychological arrow of time pointing in the direction of entropy increase can arise from natural selection in biological evolution. We show that this…

General Physics · Physics 2015-12-01 Torsten Heinrich , Benjamin Knopp , Heinrich Päs
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