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Evolution occurs in populations of reproducing individuals. It is well known that population structure can affect evolutionary dynamics. Traditionally, natural selection is studied between mutants that differ in reproductive rate, but are…

Populations and Evolution · Quantitative Biology 2021-11-23 Josef Tkadlec , Kamran Kaveh , Krishnendu Chatterjee , Martin A. Nowak

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

The dynamics of two competing species in a finite size community is one of the most studied problems in population genetics and community ecology. Stochastic fluctuations lead, inevitably, to the extinction of one of the species, but the…

Populations and Evolution · Quantitative Biology 2016-11-30 Matan Danino , David A. Kessler , Nadav M. Shnerb

During bouts of evolutionary diversification, such as adaptive radiations, the emerging species cluster around different locations in phenotype space, How such multimodal patterns in phenotype space can emerge from a single ancestral…

Populations and Evolution · Quantitative Biology 2007-11-19 Michael Doebeli , Hendrik J. Blok , Olof Leimar , Ulf Dieckmann

Sexually reproducing populations with small number of individuals may go extinct by stochastic fluctuations in sex determination, causing all their members to become male or female in a generation. In this work we calculate the time to…

Populations and Evolution · Quantitative Biology 2012-10-24 David M. Schneider , Eduardo do Carmo , Yaneer Bar-Yam , Marcus A. M. de Aguiar

In this paper we present and analyse a simple two populations model with migrations among two different environments. The populations interact by competing for resources. Equilibria are investigated. A proof for the boundedness of the…

Populations and Evolution · Quantitative Biology 2014-03-06 Davide Belocchio , Roberto Cavoretto , Giacomo Gimmelli , Alessandro Marchino , Ezio Venturino

In human societies the probability of strategy adoption from a given person may be affected by the personal features. Now we investigate how an artificially imposed restricted ability to reproduce, overruling ones fitness, affects an…

Populations and Evolution · Quantitative Biology 2008-04-10 A. Szolnoki , M. Perc , G. Szabo

Cooperative interactions pervade in a broad range of many-body populations, such as ecological communities, social organizations, and economic webs. We investigate the dynamics of a population of two equivalent species A and B that are…

Populations and Evolution · Quantitative Biology 2025-01-14 Jordi Piñero , S. Redner , Ricard Solé

A natural experiment is a type of observational study in which treatment assignment, though not randomized by the investigator, is plausibly close to random. A process that assigns treatments in a highly nonrandom, inequitable manner may,…

Applications · Statistics 2015-01-20 José R. Zubizarreta , Dylan S. Small , Paul R. Rosenbaum

We present a model that investigates preference evolution with endogenous matching. In the short run, individuals' subjective preferences influence partner selection and behavior in strategic interactions, which affect their material…

Theoretical Economics · Economics 2025-04-30 Ziwei Wang , Jiabin Wu

Methods for predicting the probability and timing of a species' extinction are typically based on a combination of theoretical models and empirical data, and focus on single species population dynamics. Of course, species also interact with…

Populations and Evolution · Quantitative Biology 2012-06-11 Gian Marco Palamara , Gustav W. Delius , Matthew J. Smith , Owen L. Petchey

Although geographic isolation has been shown to play a key role in promoting reproductive isolation, it is now believed that speciation can also happen in sympatry and with considerable gene flow. Here we present a model of sympatric…

Populations and Evolution · Quantitative Biology 2020-05-20 Rodrigo A. Caetano , Sergio Sanchez , Carolina L. N. Costa , Marcus A. M. de Aguiar

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

Populations and Evolution · Quantitative Biology 2015-05-04 David Steinsaltz , Shripad Tuljapurkar

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

Populations and Evolution · Quantitative Biology 2018-09-12 David Steinsaltz , Shripad Tuljapurkar

Despite the general acknowledgment of the role of niche and fitness differences in community dynamics, species abundance has been coined as a relevant feature not just regarding niche perspectives, but also according to neutral…

Populations and Evolution · Quantitative Biology 2013-11-08 Rafael D Guariento

In this paper we consider a simple two-patch model in which a population affected by a disease can freely move. We assume that the capacity of the interconnected paths is limited, and thereby influencing the migration rates. Possible…

Dynamical Systems · Mathematics 2014-03-19 Silvia Motto , Ezio Venturino

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Recent theoretical studies have shown that demographic stochasticity can greatly increase the tendency of asexually reproducing phenotypically diverse organisms to spontaneously evolve into localised clusters, suggesting a simple mechanism…

Populations and Evolution · Quantitative Biology 2016-03-23 Luis F. Lafuerza , Alan J. McKane

A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes split into a few groups, according to instability in the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kunihiko Kaneko

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