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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 2015-04-08 Eric Foxall , Nicolas Lanchier

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

We study age-structured branching models with reproduction law depending on the remaining lifetime of the parent. The lifespan of an individual is decided at its birth and its remaining lifetime decreases at the unit speed. The models…

Probability · Mathematics 2024-01-08 Ziling Cheng , Zenghu Li

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

Statistical Mechanics · Physics 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

We propose the following model for speciation and extinction. Birth and deaths occur according to spatially inhomogeneous contact rates. We assume that the ratio of the birth rate over the death rate at a site converges to some limit as the…

Probability · Mathematics 2015-06-15 Rinaldo B. Schinazi

We consider a critical bisexual branching process in a random environment generated by independent and identically distributed random variables. Assuming that the process starts with a large number of pairs $N$, we prove that its extinction…

Probability · Mathematics 2024-11-13 A. P. Zhiyanov , A. V. Shklyaev

Sex in higher diploids carries a two-fold cost of males that should reduce its fitness relative to cloning and result in its extinction. Instead, sex is widespread and it is clonal species that face early obsolescence. One possible reason…

Populations and Evolution · Quantitative Biology 2013-04-24 David Green , Chris Mason

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner

Sexual reproduction in Nature requires two sexes, which raises the question why the reproductive scheme did not evolve to have three or more sexes. Here we construct a constrained optimization model based on the communication theory to…

Populations and Evolution · Quantitative Biology 2007-05-23 Bo Deng

The Stable Marriage Problem (SMP) has been extremely discussed in the literature and it is useful to a number of real-world applications. We propose a generalized version of the SMP in which numbers of the matching groups are different as…

Social and Information Networks · Computer Science 2019-02-26 Bernardo Alves Furtado

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

Maintaining genetic diversity as a means to avoid premature convergence is critical in Genetic Programming. Several approaches have been proposed to achieve this, with some focusing on the mating phase from coupling dissimilar solutions to…

Neural and Evolutionary Computing · Computer Science 2023-03-31 José Maria Simões , Nuno Lourenço , Penousal Machado

The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of evolutionary biology. Sex increases genetic variation only tells its long-term superiority in essence. The accumulation of harmful mutations causes an immediate and…

Populations and Evolution · Quantitative Biology 2013-08-01 Xiang-Ping Jia , Hong Sun

We study supercritical age-structured branching models starting from a single particle with a random lifetime, where the reproduction law depends on the remaining lifetime of the parent. The lifespan of an individual is decided at its birth…

Probability · Mathematics 2024-03-20 Ziling Cheng

We have used the sexual Penna ageing model to show that the relation between dominance and recessiveness could be a force which optimizes the genome size. While the possibility of complementation of the damaged allele by its functional…

Populations and Evolution · Quantitative Biology 2007-05-23 Diana Garncarz , Stanislaw Cebrat , Dietrich Stauffer , Klaus Blindert

We present a computer simulation, which is inspired by Penna model, to help understanding the effect of genetic coding tables on population dynamics. To represent populations we used real and artificial gene sequences in this model. We…

Populations and Evolution · Quantitative Biology 2007-07-16 E. Gultepe , M. L. Kurnaz

The similarity of the evolution of human languages (or alphabets, bird songs, >...) to biological evolution of species is utilized to study with up to $10^9$ people the rise and fall of languages either by macroscopic differential equations…

Physics and Society · Physics 2009-11-11 Dietrich Stauffer , Christian Schulze

Using a bit-string model of evolution, we find a successful route to diploidy and sex in simple organisms. Allowing the sexually reproducing diploid individuals to also perform mitosis, as they do in a haploid-diploid cycle, leads to the…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Volkan Sevim , Ayse Erzan

We present, solve and numerically simulate a simple model that describes the consequences of increased longevity on fertility rates, population growth and the distribution of wealth in developed societies. We look at the consequences of the…

General Finance · Quantitative Finance 2011-08-08 Aleksandar Bogojevic , Antun Balaz , Rasa Karapandza

The idea of this review is to connect the different models of evolution to those of biological ageing through Darwin's theory. We start with the Eigen model of quasispecies for microevolution, then introduce the Bak-Sneppen model for…

Statistical Mechanics · Physics 2007-05-23 S. Moss de Oliveira , Domingos Alves , J. S. Sa Martins
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