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Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

种群与进化 · 定量生物学 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich

Extinction of a long-lived isolated stochastic population can be described as an exponentially slow decay of quasi-stationary probability distribution of the population size. We address extinction of a population in a two-population system…

统计力学 · 物理学 2015-05-14 Michael Khasin , Baruch Meerson , Pavel V. Sasorov

We study a continuous-time dynamical system that models the evolving distribution of genotypes in an infinite population where genomes may have infinitely many or even a continuum of loci, mutations accumulate along lineages without…

种群与进化 · 定量生物学 2009-02-03 Aubrey Clayton , Steven N. Evans

We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their population size and compel survivors to disperse to neighboring…

In population biology, the Allee dynamics refer to negative growth rates below a critical population density. In this Letter, we study a reaction-diffusion (RD) model of population growth and dispersion in one dimension, which incorporates…

细胞行为 · 定量生物学 2017-08-02 Indrani Bose , Mainak Pal , Chiranjit Karmakar

Neutral dynamics, where taxa are assumed to be demographically equivalent and their abundance is governed solely by the stochasticity of the underlying birth-death process, has proved itself as an important minimal model that accounts for…

种群与进化 · 定量生物学 2015-09-09 David Kessler , Samir Suweis , Marco Formentin , Nadav M. Shnerb

The simplest model of a smart spatial redistribution of individuals is proposed. A single-species population is considered, to be composed of two discrete subpopulations inhabiting two stations; migration is a transfer between them. The…

种群与进化 · 定量生物学 2016-09-08 Michael Sadovsky

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Sylvie Méléard

We have analyzed the relations between the mutational pressure, recombination and selection pressure in the bit-string model with sexual reproduction. For specific sets of these parameters we have found three phase transitions with one…

种群与进化 · 定量生物学 2007-05-23 D. Stauffer , S. Cebrat

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

种群与进化 · 定量生物学 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

The dynamics of a population expanding into unoccupied habitat has been primarily studied for situations in which growth and dispersal parameters are uniform in space or vary in one dimension. Here we study the influence of finite-sized…

种群与进化 · 定量生物学 2021-09-21 Wolfram Möbius , Francesca Tesser , Kim M. J. Alards , Roberto Benzi , David R. Nelson , Federico Toschi

We study an ecology-inspired model for a population of bounded size, whose dynamics is governed by random birth, death, and immigration events. Stochastic fluctuations in the number of individuals give rise to a succession of alternating…

种群与进化 · 定量生物学 2026-05-27 Lucas M. Brugevin , Damián H. Zanette

The original version of Bayesian reconstruction, a method for estimating age-specific fertility, mortality, migration and population counts of the recent past with uncertainty, produced estimates for female-only populations. Here we show…

应用统计 · 统计学 2015-11-30 Mark C. Wheldon , Adrian E. Raftery , Samuel J. Clark , Patrick Gerland

This paper studies the mutation-selection balance in three simplified replication models. The first model considers a population of organisms replicating via the production of asexual spores. The second model considers a sexually…

种群与进化 · 定量生物学 2009-11-13 Emmanuel Tannenbaum

Over the last few decades, ecologists have come to appreciate that key ecological patterns, which describe ecological communities at relatively large spatial scales, are not only scale dependent, but also intimately intertwined. The…

种群与进化 · 定量生物学 2016-09-13 Fabio Peruzzo , Sandro Azaele

We study the impact of a hard selective sweep on the genealogy of partially linked neutral loci in the vicinity of the positively selected allele. We consider a sexual population of stochastically varying size and, focusing on two…

概率论 · 数学 2016-05-10 Rebekka Brink-Spalink , Charline Smadi

Biological organisms have to cope with stochastic variations in both the external environment and the internal population dynamics. Theoretical studies and laboratory experiments suggest that population diversification could be an effective…

种群与进化 · 定量生物学 2017-09-13 BingKan Xue , Stanislas Leibler

Many mathematical models of evolution assume that all individuals experience the same environment. Here, we study the Moran process in heterogeneous environments. The population is of finite size with two competing types, which are exposed…

种群与进化 · 定量生物学 2018-12-19 Kamran Kaveh , Alex McAvoy , Martin A. Nowak

Motivated by research on gender identity norms and the distribution of the woman's share in a couple's total labor income, we consider functional additive regression models for probability density functions as responses with scalar…

统计方法学 · 统计学 2024-06-18 Eva-Maria Maier , Almond Stöcker , Bernd Fitzenberger , Sonja Greven

We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different probabilities, but are otherwise identical. We regard these…

偏微分方程分析 · 数学 2020-02-26 Emeric Bouin , Guillaume Legendre , Yuan Lou , Nichole Slover