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Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

We consider one-dimensional discrete-time random walks (RWs) in the presence of finite size traps of length $\ell$ over which the RWs can jump. We study the survival probability of such RWs when the traps are periodically distributed and…

Statistical Mechanics · Physics 2022-01-05 Gaia Pozzoli , Benjamin De Bruyne

In this letter, we investigate the population dynamics in a May-Leonard formulation of the rock-paper-scissors game in which one or two species, which we shall refer to as "weak", have a reduced predation or reproduction probability. We…

Populations and Evolution · Quantitative Biology 2021-08-11 P. P. Avelino , B. F. de Oliveira , R. S. Trintin

We study a class of the stochastic May-Leonard models, with three species dominating each other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We introduce an unevenness in the system, by considering that one of…

Populations and Evolution · Quantitative Biology 2019-05-23 J. Menezes , B. Moura , T. A. Pereira

Sexual reproductive behavior has a necessary social coordination component as willing and capable partners must both be in the right place at the right time. While there are many known social behavioral adaptations to support solutions to…

Populations and Evolution · Quantitative Biology 2015-04-28 Chris Marriott , Jobran Chebib

This paper deals with an impulsive degenerate logistic model, where pulses are introduced for modeling interventions or disturbances, and degenerate logistic term may describe refugees or protections zones for the species. Firstly, the…

Populations and Evolution · Quantitative Biology 2024-02-20 Willian Cintra , Zhigui Lin , Carlos Alberto Santos , Phyu Phyu Win

In this paper, we consider how probability theory can be used to determine the survival strategy in two of the ``Squid Game" and ``Squid Game: The Challenge" challenges: the Hopscotch and the Warships. We show how Hopscotch can be easily…

Very low levels of genetic diversity have been reported in vertebrates with large genomes, notably salamanders and lungfish [1-3]. Interpreting differences in heterozygosity, which reflects genetic diversity in a population, is complicated…

Genomics · Quantitative Biology 2013-09-05 John Herrick , Bianca Sclavi

This paper considers a natural variant of the $d$-dimensional multitype contact process in which individuals can be fertile or sterile. Fertile individuals of type $i$ give birth to an offspring of their own type at rate $\lambda_i$, the…

Probability · Mathematics 2025-10-08 Nicolas Lanchier , Max Mercer , Hyunsik Yun

Artificially evolving foraging behavior in simulated legged animals has proved to be a notoriously difficult task. Here, we co-evolve the morphology and controller for virtual organisms in a three-dimensional physically realistic…

Neural and Evolutionary Computing · Computer Science 2011-12-22 Nicolas Chaumont , Christoph Adami

A steady influx of a single deleterious multilocus genotype will impose genetic load on the resident population and leave multiple descendants carrying various numbers of the foreign alleles. Provided that the foreign types are rare at…

Populations and Evolution · Quantitative Biology 2015-06-16 Alexey Yanchukov , Stephen R. Proulx

We consider a branching random walk in a random space-time environment of disasters where each particle is killed when meeting a disaster. This extends the model of the "random walk in a disastrous random environment" introduced by [15]. We…

Probability · Mathematics 2017-09-13 Nina Gantert , Stefan Junk

Natural selection and random drift are competing phenomena for explaining the evolution of populations. Combining a highly fit mutant with a population structure that improves the odds that the mutant spreads through the whole population…

Populations and Evolution · Quantitative Biology 2009-08-14 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

We combine a semi-analytic model of galaxy evolution with constraints on circumstellar habitable zones and the distribution of terrestrial planets to probe the suitability of galaxies of different mass and type to host habitable planets,…

Astrophysics of Galaxies · Physics 2016-08-11 R. Gobat , S. E. Hong

Exoplanet discoveries have motivated numerous efforts to find unseen populations of exomoons, yet they have been unsuccessful. A plausible explanation is that most discovered planets are located on close-in orbits, which would make their…

Earth and Planetary Astrophysics · Physics 2020-01-08 Mario Sucerquia , Vanesa Ramírez , Jaime A. Alvarado-Montes , Jorge I. Zuluaga

We propose a purely probabilistic model to explain the evolution path of a population maximum fitness. We show that after $n$ births in the population there are about $\ln n$ upwards jumps. This is true for any mutation probability and any…

Populations and Evolution · Quantitative Biology 2018-10-16 Rinaldo B. Schinazi

Darwin introduced the concept of the "living fossil" to describe species belonging to lineages that have experienced little evolutionary change, and suggested that species in more slowly evolving lineages are more prone to extinction (1).…

Genomics · Quantitative Biology 2013-02-12 Bianca Sclavi , John Herrick

Background: Speciation corresponds to the progressive establishment of reproductive barriers between groups of individuals derived from an ancestral stock. Since Darwin did not believe that reproductive barriers could be selected for, he…

Populations and Evolution · Quantitative Biology 2011-12-12 Etienne Joly

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

It is conceivable that a few thousand confirmed exoplanets initially harboured satellites similar to the moons of the Solar system or larger. Could some of them have survived over the aeons of dynamical evolution to the present day? The…

Earth and Planetary Astrophysics · Physics 2023-04-05 Valeri V. Makarov , Michael Efroimsky