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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

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

We introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Chaohong Lee , Xiwen Zhu , Kelin Gao

In this paper we present our study on the critical behavior of a stochastic anisotropic Bak-Sneppen (saBS) model, in which a parameter $\alpha$ is introduced to describe the interaction strength among nearest species. We estimate the…

Adaptation and Self-Organizing Systems · Physics 2017-11-22 Jihui Han , Wei Li , Zhu Su , Weibing Deng

A new quantity, average fitness, is introduced in Bak-Sneppen evolution model. Through this new quantity, a new hierarchy of avalanches is observed in the evolution of Bak-Sneppen model. An exact gap equation, governing the…

Statistical Mechanics · Physics 2007-05-23 W. Li , X. Cai

We investigate by numerical simulations and analytical calculations the Bak-Sneppen model for biological evolution in scale-free networks. By using large scale numerical simulations, we study the avalanche size distribution and the activity…

Statistical Mechanics · Physics 2009-11-07 Yamir Moreno , Alexei Vazquez

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

The dynamics of complex systems in nature often occurs in terms of punctuations, or avalanches, rather than following a smooth, gradual path. A comprehensive theory of avalanche dynamics in models of growth, interface depinning, and…

adap-org · Physics 2009-10-28 M. Paczuski , S. Maslov , P. Bak

We study, both analytically and numerically, the interaction effects on the skewness of the size distribution of elements in a growth model. We incorporate two types of global interaction into the growth model, and develop analytic…

Statistical Mechanics · Physics 2018-03-14 Jungzae Choi , M. Y. Choi , Byung-Gook Yoon

Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed simple model has revealed a general mechanism by which such…

Adaptation and Self-Organizing Systems · Physics 2018-01-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d>2 the avalanche cluster becomes fractal and for d \ge 4 the process becomes…

Statistical Mechanics · Physics 2009-10-31 P. De Los Rios , M. Marsili , M. Vendruscolo

We introduce a new quantity, average fitness, into the Bak-Sneppen evolution model. Through the new quantity, a different hierarchy of avalanches is observed. The gap equation, in terms of the average fitness, is presented to describe the…

Statistical Mechanics · Physics 2009-10-31 W. Li , X. Cai

We study erratically moving spatial structures that are found in a driven interface in a random medium at the depinning threshold. We introduce a bond-disordered variant of the Sneppen model and study the effect of extremal dynamics on the…

Statistical Mechanics · Physics 2009-10-31 Supriya Krishnamurthy , Mustansir Barma

The Tangled Nature Model of biological and cultural evolution features interacting agents which compete for limited resources and reproduce in an error prone fashion and at a rate depending on the `tangle' of interactions they maintain with…

Populations and Evolution · Quantitative Biology 2016-05-25 Christian Walther Andersen , Paolo Sibani

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard

Cooperative behaviors are ubiquitous in nature,which is a puzzle to evolutionary biology,because the defector always gains more benefit than the cooperator,thus,the cooperator should decrease and vanish over time.This typical "prisoners'…

Computer Science and Game Theory · Computer Science 2012-09-14 Feng Wenfeng , Li Yang , Yan Junhao

The spin market model [S. Bornholdt, Int.J.Mod.Phys. C 12 (2001) 667] is extended into co-evolutionary version, where strategies of interacting and competitive traders are represented by local and global couplings between the nodes of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 D. Horvath , Z. Kuscsik , M. Gmitra

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Numerical results are presented indicating d_c=4 as the upper critical dimension for the Bak-Sneppen evolution model. This finding agrees with previous theoretical arguments, but contradicts a recent Letter [Phys. Rev. Lett. 80, 5746-5749…

Statistical Mechanics · Physics 2009-10-31 S. Boettcher , M. Paczuski

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

Other Condensed Matter · Physics 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel
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