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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…

Populations and Evolution · Quantitative Biology 2009-02-03 Aubrey Clayton , Steven N. Evans

Adaptation of asexual populations is driven by beneficial mutations and therefore the dynamics of this process, besides other factors, depend on the distribution of beneficial fitness effects. It is known that on uncorrelated fitness…

Populations and Evolution · Quantitative Biology 2016-08-05 Sona John , Sarada Seetharaman

We examine a model of biological evolution of Eigen's quasispecies in a holey fitness landscape, where the fitness of a site is either 0 (lethal site) or a uniform positive constant (viable site). So, the evolution dynamics is determined by…

Statistical Mechanics · Physics 2016-08-16 Michal Kolář , František Slanina

In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble…

Analysis of PDEs · Mathematics 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

We consider a population with two types of individuals, distinguished by the resources required for reproduction: type-$0$ (small) individuals need a fractional resource unit of size $\vartheta \in (0,1)$, while type-$1$ (large) individuals…

Probability · Mathematics 2025-10-29 Gerold Alsmeyer , Fernando Cordero , Hannah Dopmeyer

Consider an advantageous allele that arises in a haploid population of size $N$ evolving in continuous time according to a skewed reproduction mechanism, which generates under neutrality genealogies lying in the domain of attraction of a…

Probability · Mathematics 2024-09-02 Matthias Birkner , Florin Boenkost , Iulia Dahmer , Cornelia Pokalyuk

We present two adaptive schemes for dynamically choosing the number of parallel instances in parallel evolutionary algorithms. This includes the choice of the offspring population size in a (1+$\lambda$) EA as a special case. Our schemes…

Data Structures and Algorithms · Computer Science 2011-03-03 Jörg Lässig , Dirk Sudholt

We study the evolution of allele frequencies in a large population where random mating is violated in a particular way that is related to recent works on speciation. Specifically, we consider non-random encounters in haploid organisms…

Populations and Evolution · Quantitative Biology 2013-09-05 David M. Schneider , Ayana B. Martins , Eduardo do Carmo , Marcus A. M. de Aguiar

The process of evolutionary emergence of purposeful adaptive behavior is investigated by means of computer simulations. The model proposed implies that there is an evolving population of simple agents, which have two natural needs: energy…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mikhail S. Burtsev , Vladimir G. Redko , Roman V. Gusarev

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

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…

Populations and Evolution · Quantitative Biology 2016-09-08 Michael Sadovsky

A host-parasite model is considered for a population of cells that can be of two types, A or B, and exhibits unilateral reproduction: while a B-cell always splits into two cells of the same type, the two daughter cells of an A-cell can be…

Probability · Mathematics 2013-02-06 Gerold Alsmeyer , Sören Gröttrup

For two genotypes that have the same mean number of offspring but differ in the variance in offspring number, natural selection will favor the genotype with lower variance. The concept of fitness becomes cloudy under these conditions…

Populations and Evolution · Quantitative Biology 2007-05-23 Max Shpak , Stephen Proulx

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

Teams of cooperating sperm have been found across several vertebrate and invertebrate species, ranging from sperm pairs to massive aggregates containing hundreds of cells. Although the biochemical mechanisms involved in the aggregation…

Biological Physics · Physics 2018-05-31 D. J. G. Pearce , L. A. Hoogerbrugge , K. A. Hook , H. S. Fisher , L. Giomi

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

Physics and Society · Physics 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

Mitochondrial and nuclear genomes must be co-adapted to ensure proper cellular respiration and energy production. Mito-nuclear incompatibility reduces individual fitness and induces hybrid infertility, suggesting a possible role in…

Populations and Evolution · Quantitative Biology 2022-10-12 Débora Princepe , Marcus A. M. de Aguiar , Joshua B. Plotkin

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…

Probability · Mathematics 2016-05-10 Rebekka Brink-Spalink , Charline Smadi

Boolean networks have been widely used to explore aspects of gene regulation, traditionally with a single network. A modified form of the model to explore the effects of increasing the number of gene states has also recently been…

Molecular Networks · Quantitative Biology 2024-01-22 Larry Bull

Genome length varies widely among organisms, from compact genomes of prokaryotes to vast and complex genomes of eukaryotes. In this study, we theoretically identify the evolutionary pressures that may have driven this divergence in genome…

Genomics · Quantitative Biology 2025-03-03 Parthasarathi Sahu , Sashikanta Barik , Koushik Ghosh , Hemachander Subramanian