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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

Sweepstakes reproduction may be generated by chance matching of reproduction with favorable environmental conditions. Gene genealogies generated by sweepstakes reproduction are in the domain of attraction of multiple-merger coalescents…

Probability · Mathematics 2026-01-15 Bjarki Eldon

Modifying the Redfield model of sexual reproduction and the Penna model of biological aging, we compare reproduction with and without recombination in age-structured populations. In contrast to Redfield and in agreement with Bernardes we…

We consider a model of a population of fixed size $N$ undergoing selection. Each individual acquires beneficial mutations at rate $\mu_N$, and each beneficial mutation increases the individual's fitness by $s_N$. Each individual dies at…

Probability · Mathematics 2015-07-03 Jason Schweinsberg

Biological aging is characterized by an age-dependent increase in the probability of death and by a decrease in the reproductive capacity. Individual age-dependent rates of survival and reproduction have a strong impact on population…

Populations and Evolution · Quantitative Biology 2016-02-03 Arian Šajina , Dario Riccardo Valenzano

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

The new dynamical game theoretic model of sex ratio evolution emphasizes the role of males as passive carriers of sex ratio genes. This shows inconsistency between population genetic models of sex ratio evolution and classical strategic…

Populations and Evolution · Quantitative Biology 2014-03-05 Krzysztof Argasinski

In its initial form, the expensive son hypothesis postulates that sons from male-biased sexually dimorphic species require more food during growth than daughters, which ultimately incur fitness costs for mothers predominantly producing and…

Populations and Evolution · Quantitative Biology 2024-12-13 Lucas Invernizzi , Jean-françois Lemaître , Mathieu Douhard

We study numerically and analytically a stochastic group selection model in which a population of asexually reproducing individuals, each of which can be either altruist or non-altruist, is subdivided into $M$ reproductively isolated groups…

adap-org · Physics 2009-10-31 Ana T. C. Silva , J. F. Fontanari

This paper develops a mathematical model describing the influence that conjugation-mediated Horizontal Gene Transfer (HGT) has on the mutation-selection balance in an asexually reproducing population of unicellular, prokaryotic organisms.…

Populations and Evolution · Quantitative Biology 2009-07-06 Yoav Raz , Emmanuel Tannenbaum

Sex determination in the order Hymenoptera is based on arrhenotoky, hymenopteran males are usually haploid and females diploid. Males of the Ichneumonidae Diadromus pulchellus, solitary endoparasitoid of A. assectella pupae are normally…

Populations and Evolution · Quantitative Biology 2016-08-16 Robert Kalmès , Danielle Rojas-Rousse

Suppose that females choose males based on attributes that do not signal any genetic quality that is not related to the choice itself. Can being choosy confer selective advantage in this situation? We introduce correlated strategies, which…

Populations and Evolution · Quantitative Biology 2023-09-28 Daniil Ryabko , Angustias Vaca , Prudencio Pazoca

The vast majority of mutations are deleterious, and are eliminated by purifying selection. Yet in finite asexual populations, purifying selection cannot completely prevent the accumulation of deleterious mutations due to Muller's ratchet:…

Populations and Evolution · Quantitative Biology 2011-10-14 Sidhartha Goyal , Daniel J. Balick , Elizabeth R. Jerison , Richard A. Neher , Boris I. Shraiman , Michael M. Desai

A question in evolutionary biology is why the number of males is approximately equal to that of females in many species, and Fisher's theory of equal investment answers that it is the evolutionarily stable state. The Fisherian mechanism can…

Populations and Evolution · Quantitative Biology 2019-02-05 Minjae Kim , Hyeong-Chai Jeong , Seung Ki Baek

Homologous recombination is an important operator in the evolution of biological organisms. However, there is still no clear, generally accepted understanding of why it exists and under what circumstances it is useful. In this paper we…

Populations and Evolution · Quantitative Biology 2013-08-12 Manuel Beltrán del Río , Christopher R. Stephens , David A. Rosenblueth

We analyse a model consisting of a population of individuals which is subdivided into a finite set of demes, each of which has a fixed but differing number of individuals. The individuals can reproduce, die and migrate between the demes…

Populations and Evolution · Quantitative Biology 2014-08-20 George W A Constable , Alan J McKane

Sexual selection is a fundamental aspect of evolution for all eukaryotic organisms with mating types. This paper suggests intersexual selection is best viewed as a mechanism to compensate for the unavoidable dynamics of coevolution between…

Populations and Evolution · Quantitative Biology 2021-02-24 Larry Bull

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

This article is concerned with a version of the contact process with sexual reproduction on a graph with two levels of interactions modeling metapopulations. The population is spatially distributed into patches and offspring are produced in…

Probability · Mathematics 2013-07-26 Nicolas Lanchier

This paper develops a quasispecies model that incorporates the SOS response. We consider a unicellular, asexually replicating population of organisms, whose genomes consist of a single, double-stranded DNA molecule, i.e. one chromosome. We…

Populations and Evolution · Quantitative Biology 2008-04-02 Amit Kama , Emmanuel Tannenbaum
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