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In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a…

Dynamical Systems · Mathematics 2013-04-23 Nasir Ganikhodjaev , Mansoor Saburov , Ashraf Mohamed Nawi

When a population inhabits an inhomogeneous environment, the fitness value of traits can vary with the position in the environment. Gene flow caused by random mating can nevertheless prevent that a sexually reproducing population splits…

Populations and Evolution · Quantitative Biology 2011-05-05 Susanne Schindler , Olaf Breidbach , Juergen Jost

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

This article deals with the emergence of a specific mating preference pattern called homogamy in a population. Individuals are characterized by their genotype at two haploid loci, and the population dynamics is modelled by a non-linear…

Probability · Mathematics 2019-09-25 Coron Camille , Costa Manon , Laroche Fabien , Leman Hélène , Smadi Charline

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…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Stauffer , S. Cebrat

The original hypothesis about Three-stage origin of life (TOL) on the Earth is developed and discussed. The role of the temperature factor in life origin is considered. It is supposed, that three stages of abiogenesis (DNA world, RNA world…

Other Quantitative Biology · Quantitative Biology 2012-01-04 Victor P. Novikov

Our uncertainties about binary star systems (and triples and so on) limit our capabilities in literally every single one of the Thematic Areas identified for Astro2020. We need to understand the population statistics of stellar multiplicity…

Motivated by the cyclic pattern of reproductive regimes observed in some species of green flies (``{\it aphids}''), we simulate the evolution of a population enduring harsh seasonal conditions for survival. The reproductive regime of each…

Statistical Mechanics · Physics 2015-06-24 J. S. Sa' Martins , Adriana Racco

Despite decades of inquiry, the origin of giant planets residing within a few tenths of an astronomical unit from their host stars remains unclear. Traditionally, these objects are thought to have formed further out before subsequently…

Earth and Planetary Astrophysics · Physics 2017-08-23 Christopher Spalding , Konstantin Batygin

We consider a population of haploid individuals reproducing sexually, i.e. for which the genome of each individual is a random mixture of the genome of its two parents. We assume that initially one individual carries a mutation at one…

Probability · Mathematics 2022-10-06 Camille Coron , Yves Le Jan

Evidence of mutually inclined planetary orbits has been reported for giant planets these last years. Here we aim to study the impact of eccentric and inclined massive giant planets on the terrestrial planet formation process, and…

Earth and Planetary Astrophysics · Physics 2018-06-06 Sotiris Sotiriadis , Anne-Sophie Libert , Sean N. Raymond

We generalize the standard Penna bit-string model of biological ageing by assuming that each deleterious mutation diminishes the survival probability in every time interval by a small percentage. This effect is added to the usual lethal but…

Statistical Mechanics · Physics 2015-06-24 J. S. Sá Martins , D. Stauffer

The dynamics of many microbial ecosystems are driven by cross-feeding interactions, in which metabolites excreted by some species are metabolised further by others. The population dynamics of such ecosystems are governed by…

Populations and Evolution · Quantitative Biology 2016-08-16 Björn Vessman , Philip Gerlee , Torbjörn Lundh

In the last few years, a number of planets have been proposed to orbit several post main-sequence binary star systems on the basis of observed variations in the timing of eclipses between the binary components. A common feature of these…

Earth and Planetary Astrophysics · Physics 2014-01-28 Jonathan Horner , Robert Wittenmyer , Tobias Hinse , Jonathan Marshall , Alex Mustill

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

We describe the spectra of certain tridiagonal matrices arising from differential equations commonly used for modeling flocking behavior. In particular we consider systems resulting from allowing an arbitrary boundary condition for the end…

Classical Analysis and ODEs · Mathematics 2014-08-07 J. J. P. Veerman , David K. Hammond

To counterbalance the views presented here by Suzana Moss de Oliveira, we explain here the truth: How men are oppressed by Mother Nature, who may have made an error inventing us, and by living women, who could get rid of most of us. Why do…

Populations and Evolution · Quantitative Biology 2007-10-23 D. Stauffer , S. Cebrat

We revisit the discovery and implications of the first candidate systems to contain multiple transiting exoplanets. These systems were discovered using data from the Kepler space telescope. The initial paper, presenting five systems…

Earth and Planetary Astrophysics · Physics 2022-02-01 Jason H. Steffen , Jack J. Lissauer

Exo-planet migration is assumed to have occurred to explain close-to-star gas giant exo-planets within the context of the so-called standard model of solar system formation, rather than giving cause to question the validity of that…

Astrophysics · Physics 2007-05-23 J. Marvin Herndon

The past decade has seen major progress in our understanding of terrestrial planet formation. Yet key questions remain. In this review we first address the growth of 100 km-scale planetesimals as a consequence of dust coagulation and…

Earth and Planetary Astrophysics · Physics 2018-12-05 Andre Izidoro , Sean N. Raymond
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