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Random walks on multidimensional nonlinear landscapes are of interest in many areas of science and engineering. In particular, properties of adaptive trajectories on fitness landscapes determine population fates and thus play a central role…

种群与进化 · 定量生物学 2014-10-08 Michael Manhart , Alexandre V. Morozov

On rugged fitness landscapes where sign epistasis is common, adaptation can often involve either individually beneficial "uphill" mutations or more complex mutational trajectories involving fitness valleys or plateaus. The dynamics of the…

种群与进化 · 定量生物学 2015-10-06 Ian E. Ochs , Michael M. Desai

We consider an aggregation model for two interacting species. The coupling between the species is via their velocities, that incorporate self- and cross-interactions. Our main interest is categorizing the possible steady states of the…

偏微分方程分析 · 数学 2016-12-26 Joep H. M. Evers , Razvan C. Fetecau , Theodore Kolokolnikov

We give a overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of nonspecialists, especially statistical physicists. In particular, we focus mostly on neutral models in…

统计力学 · 物理学 2009-11-13 R. A. Blythe , A. J. McKane

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

无序系统与神经网络 · 物理学 2009-10-31 Luca Peliti

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

种群与进化 · 定量生物学 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

We consider the evolutionary trajectories traced out by an infinite population undergoing mutation-selection dynamics in static, uncorrelated random fitness landscapes. Starting from the population that consists of a single genotype, the…

种群与进化 · 定量生物学 2009-11-11 Kavita Jain , Joachim Krug

We study populations of agents evolving in fitness landscapes constructed according to the rules of a modified NK model with a tunable amount of neutral paths. In the `punctuated equilibrium' regime evolutionary events are identified as…

adap-org · 物理学 2009-10-31 Paolo Sibani , Andreas Pedersen

We present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing…

种群与进化 · 定量生物学 2015-06-05 Samir Suweis , Andrea Rinaldo , Amos Maritan

With a view to connecting random mutation on the molecular level to punctuated equilibrium behavior on the phenotype level, we propose a new model for biological evolution, which incorporates random mutation and natural selection. In this…

凝聚态物理 · 物理学 2009-10-28 M. Y. Choi , H. Y. Lee , D. Kim , S. H. Park

We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a…

种群与进化 · 定量生物学 2016-08-14 Kelly C. de Carvalho , Tânia Tomé

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

无序系统与神经网络 · 物理学 2007-05-23 David M. D. Smith , Neil F. Johnson

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

种群与进化 · 定量生物学 2009-11-28 Per Arne Rikvold

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

A population genetics formulation of Eigen's molecular quasispecies model is proposed and several simple replication landscapes are investigated analytically. Our results show a remarcable similarity to those obtained with the original…

凝聚态物理 · 物理学 2009-10-28 Domingos Alves , Jose Fernando Fontanari

We consider the quasispecies description of a population evolving in both the "master sequence" landscape (where a single sequence is evolutionarily preferred over all others) and the REM landscape (where the fitness of different sequences…

无序系统与神经网络 · 物理学 2009-10-28 Silvio Franz , Luca Peliti

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

种群与进化 · 定量生物学 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

The adaptive evolution of large asexual populations is generally characterized by competition between clones carrying different beneficial mutations. This interference phenomenon slows down the adaptation speed and makes the theoretical…

种群与进化 · 定量生物学 2012-12-20 Maria Rita Fumagalli , Matteo Osella , Philippe Thomen , Francois Heslot , Marco Cosentino Lagomarsino

We study the population profile in a simple discrete time model of population dynamics. Our model, which is closely related to certain ``bit-string'' models of evolution, incorporates competition for resources via a population dependent…

统计力学 · 物理学 2009-10-31 Martin Howard , R. K. P. Zia

We consider an asexual population under strong selection-weak mutation conditions evolving on rugged fitness landscapes with many local fitness peaks. Unlike the previous studies in which the initial fitness of the population is assumed to…

种群与进化 · 定量生物学 2011-11-18 Kavita Jain , Sarada Seetharaman