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We study models of biological evolution and investigate a key factor to yield self-organized criticality (SOC). The Bak-Sneppen (BS) model is the most basic model that shows an SOC state, which is developed based on minimal and plausible…

Populations and Evolution · Quantitative Biology 2018-09-11 Yohsuke Murase , Per Arne Rikvold

The Bak-Sneppen model of self-organized biological evolution of an infinite ecosystem of randomly interacting species is represented in terms of an infinite set of variables which can be considered as an analog to the set of integrals of…

Statistical Mechanics · Physics 2009-10-31 Yu. M. Pis'mak

We have investigated the essential ingredients allowing a system to show Self Organized Criticality (SOC) in its collective behavior. Using the Bak-Sneppen model of biological evolution as our paradigm, we show that the random microscopic…

Condensed Matter · Physics 2009-10-30 Paolo De Los Rios , Angelo Valleriani , José Luis Vega

The Bak--Sneppen model is a simple stochastic model of evolution that exhibits self-organized criticality and for which few analytical results have been established. In the original Bak-Sneppen model and many subsequent variants,…

Adaptation and Self-Organizing Systems · Physics 2011-10-20 Michael Grinfeld , Philip A. Knight , Andrew R. Wade

The modification of the model of P.Bak and K.Sneppen of the self-organized biological evolution is proposed on the basis of a formalization of the scheme of the biosphere evolution suggested by O.V.Kovalev. This scheme is regarded as one…

Condensed Matter · Physics 2008-02-03 O. V. Kovalev , Yu. M. Pis'mak , V. V. Vechernin

We study here the Bak and Sneppen model, a prototype model for the study of Self-Organized Criticality. In this model several species interact and undergo extinction with a power law distribution of activity bursts. Species are defined…

Statistical Mechanics · Physics 2007-05-23 G. Caldarelli , M. Felici , A. Gabrielli , L. Pietronero

In the present work we extend the Bak-Sneppen model for biological evolution by introducing local interactions between species. This ``environmental'' perturbation can modify the intrinsic fitness of each element of the ecology, leading to…

Other Condensed Matter · Physics 2010-10-14 M. Bartolozzi , D. B. Leinweber , A. W. Thomas

We considered a stochastic version of the Bak-Sneppen model (SBSM) of ecological evolution where the the number $M$ of sites mutated in a mutation event is restricted to only two. Here the mutation zone consists of only one site and this…

Statistical Mechanics · Physics 2009-09-16 S. S. Manna

By driven to extinction species less or poorly adapted, the Darwinian evolutionary theory is intrinsically an optimization theory. We investigate two optimization algorithms with such evolutionary characteristics: the Bak-Sneppen and the…

Populations and Evolution · Quantitative Biology 2007-05-23 Roberto N. Onody , Paulo A. de Castro

We present a non-neutral stochastic model for the dynamics taking place in a meta-community ecosystems in presence of migration. The model provides a framework for describing the emergence of multiple ecological scenarios and behaves in two…

Populations and Evolution · Quantitative Biology 2015-05-13 Ginestra Bianconi , Luca Ferretti , Silvio Franz

In this work we study the effects of introducing long range interactions in the Bak-Sneppen (BS) model of biological evolution. We analyze a recebtly propopsed version of the BS model where the interactions decay as r^{-alpha}; in this way…

Disordered Systems and Neural Networks · Physics 2009-10-31 Pablo M. Gleiser , Francisco A. Tamarit , Sergio A. Cannas

Here we provide a detailed analysis, along with some extensions and additonal investigations, of a recently proposed self-organised model for the evolution of complex networks. Vertices of the network are characterised by a fitness variable…

Physics and Society · Physics 2008-08-29 Guido Caldarelli , Andrea Capocci , Diego Garlaschelli

We study the behavior under perturbations of different versions of Bak-Sneppen (BS) model in 1 + 1 dimension. We focus our attention on the damage-spreading features of the BS model with both random as well as deterministic updating, with…

Statistical Mechanics · Physics 2007-05-23 Raffaele Cafiero , Angelo Valleriani , Josè Luis Vega

Using the Bak-Sneppen model of biological evolution as our paradigm, we investigate in which cases noise can be substituted with a deterministic signal without destroying Self-Organized Criticality (SOC). If the deterministic signal is…

Condensed Matter · Physics 2009-10-30 Paolo De Los Rios , Angelo Valleriani , Jose Luis Vega

A punctuated equilibrium model of biological evolution with relative fitness between different species being the fundamental driving force of evolution is introduced. Mutation is modeled as a fitness updating cellular automaton process…

Condensed Matter · Physics 2015-06-25 H. F. Chau , L. Mak , P. K. Kwok

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests…

Condensed Matter · Physics 2009-10-22 Jan de Boer , A. D. Jackson , Tilo Wettig

The Bak Sneppen (BS) model is a very simple model that exhibits all the richness of self-organized criticality theory. At the thermodynamic limit, the BS model converges to a situation where all particles have a fitness that is uniformly…

Adaptation and Self-Organizing Systems · Physics 2018-04-25 Daniel Fraiman

Cooperation and self-organized criticality are two main keywords in current studies of evolution. We propose a generalized Bak-Sneppen model and provide a natural mechanism which accounts for both phenomena simultaneously. We use the…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Sangmin Park , Hyeong-Chai Jeong

Recently, Lenski et al [Elena,Lenski,Travisano] have carried out several experiments on bacterial evolution. Their findings support the theory of punctuated equilibrium in biological evolution. They have further quantified the relative…

Statistical Mechanics · Physics 2009-11-07 Indrani Bose , Indranath Chaudhuri

We investigate a class of models related to the Bak-Sneppen model, initially proposed to study evolution. The BS model is extremely simple and yet captures some forms of "complex behavior" such as self-organized criticality that is often…

Dynamical Systems · Mathematics 2015-06-16 J. J. P. Veerman , F. J. Prieto
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