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In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

种群与进化 · 定量生物学 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

概率论 · 数学 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

Different subsystems of organisms adapt over many time scales, such as rapid changes in the nervous system (learning), slower morphological and neurological change over the lifetime of the organism (postnatal development), and change over…

神经与进化计算 · 计算机科学 2017-07-28 Sam Kriegman , Nick Cheney , Francesco Corucci , Josh C. Bongard

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

种群与进化 · 定量生物学 2020-02-19 M. M. Tehrani , S. Soltanieh

Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population sizes and reproduces the standard neutral evolution is…

种群与进化 · 定量生物学 2017-03-08 Thiparat Chotibut , David R. Nelson

Evolution is a dynamic process. The two classical forces of evolution are mutation and selection. Assuming small mutation rates, evolution can be predicted based solely on the fitness differences between phenotypes. Predicting an…

种群与进化 · 定量生物学 2015-03-23 Benedikt Bauer , Chaitanya S. Gokhale

We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of reproduction. Our model consists of a non-local and non-linear…

偏微分方程分析 · 数学 2021-12-09 Raphaël Forien , Jimmy Garnier , Florian Patout

The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods. However, sometimes such ``stable'' cooperation ratios obtained via approximate methods might not be…

种群与进化 · 定量生物学 2023-05-01 Jiangjiang Cheng , Wenjun Mei , Wei Su , Ge Chen

A challenging simulation of evolutionary dynamics based on a three-state cellular automaton is used as a test of how cooperation can drive the evolution of complex traits. Building on the approach of Wolfram (2025), the fitness of a…

种群与进化 · 定量生物学 2025-04-08 Conor Houghton

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

种群与进化 · 定量生物学 2011-11-10 Per Arne Rikvold

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…

统计力学 · 物理学 2016-08-16 Michal Kolář , František Slanina

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase…

种群与进化 · 定量生物学 2016-11-23 Tommaso Brotto , Guy Bunin , Jorge Kurchan

We propose a physical model for developmental process at cellular level to discuss the mechanism of epigenetic landscape. In our simplified model, a minimal model, the network of the interaction among cells generates the landscape…

细胞行为 · 定量生物学 2014-02-04 Motoki Nakagawa , Osamu Narikiyo

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…

种群与进化 · 定量生物学 2016-09-08 Michael Sadovsky

The evolutionary and ecological processes behind the origin of species are among the most fundamental problems in biology. In fact, many theoretical hypothesis on different type of speciation have been proposed. In particular, models of…

种群与进化 · 定量生物学 2018-11-20 Niccolo Anceschi , Jorge Hidalgo , Tommaso Bellini , Amos Maritan , Samir Suweis

Mating preferences of many biological species are not constant but season-dependent. Within the framework of evolutionary game theory this can be modeled with two finite opposite-sex populations playing against each other following the…

种群与进化 · 定量生物学 2015-08-13 Olena Tkachenko , Juzar Thingna , Sergey Denisov , Vasily Zaburdaev , Peter Hänggi

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

种群与进化 · 定量生物学 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in…

偏微分方程分析 · 数学 2015-06-18 Alexander Lorz , Benoit Perthame

We study the stochastic evolution of four species in cyclic competition in a well mixed environment. In systems composed of a finite number $N$ of particles these simple interaction rules result in a rich variety of extinction scenarios,…

统计力学 · 物理学 2012-07-09 C. H. Durney , S. O. Case , M. Pleimling , R. K. P. Zia

In this study, we construct an evolutionary model of a population of DNA sequences interacting with the surrounding environment on the topological monoid A* of strings on the alphabet A = { a, c, g, t }. A partial differential equation…

种群与进化 · 定量生物学 2017-06-06 Hitoshi Koyano , Kouji Yano