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A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

种群与进化 · 定量生物学 2016-04-05 Henry C. Tuckwell

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…

统计力学 · 物理学 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

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…

适应与自组织系统 · 物理学 2012-08-31 Andrzej Pekalski , Marcel Ausloos

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.…

生物物理 · 物理学 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

Sexually reproducing populations with small number of individuals may go extinct by stochastic fluctuations in sex determination, causing all their members to become male or female in a generation. In this work we calculate the time to…

种群与进化 · 定量生物学 2012-10-24 David M. Schneider , Eduardo do Carmo , Yaneer Bar-Yam , Marcus A. M. de Aguiar

I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

统计力学 · 物理学 2021-06-02 Ronald Dickman

Using a simple computer model for evolution, we show that in a sexual population subject only to age-increasing reproductive risk, a cessation of female reproduction emerges.

统计力学 · 物理学 2009-11-07 A. O. Sousa

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

基因组学 · 定量生物学 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat

This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by [17]. Moreover, its multiplicative structure and the multiplicative…

综合数学 · 数学 2023-12-06 Dragos-Patru Covei , Traian A. Pirvu , Catalin Sterbeti

This paper shows that differentiating the lifetimes of two phenotypes independently from their fertility can lead to a qualitative change in the equilibrium of a population: since survival and reproduction are distinct functional aspects of…

种群与进化 · 定量生物学 2013-05-22 Ignacio Gallo

Let $N$ be a natural number. We consider a population which lives on $I_N=\{-N,-N+1,\dots,N-1,N\}$. Each individual gives birth at rate $\lambda$ on each of its neighboring sites and dies at rate 1. No births are allowed from the inside of…

概率论 · 数学 2026-02-10 Rinaldo B. Schinazi

We present a mathematical simplification for the evolutionary dynamics of a heritable trait within a two-sex population. This trait is assumed to control the timing of sex-specific life-history events, such as the age of sexual maturity and…

种群与进化 · 定量生物学 2019-07-04 M. H. Chan , K. Hawkes , P. S. Kim

This paper considers a two-dimensional logistic model to study populations with two genders. The growth behavior of a population is guided by two coupled ordinary differential equations given by a non-differentiable vector field whose…

种群与进化 · 定量生物学 2014-06-05 Eduardo Garibaldi , Marcelo Sobottka

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the…

adap-org · 物理学 2007-05-23 W. Hwang , P. L. Krapivsky , S. Redner

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…

综合金融 · 定量金融 2011-08-08 Aleksandar Bogojevic , Antun Balaz , Rasa Karapandza

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…

种群与进化 · 定量生物学 2016-02-03 Arian Šajina , Dario Riccardo Valenzano

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…

动力系统 · 数学 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

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…

种群与进化 · 定量生物学 2007-05-23 D. Stauffer , S. Cebrat

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…

偏微分方程分析 · 数学 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

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…

概率论 · 数学 2013-07-26 Nicolas Lanchier
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