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Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model…

Statistical Mechanics · Physics 2012-11-20 Jacopo Grilli , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Population extinction is a rare event which requires overcoming an effective barrier. We show that the extinction rate can be fragile: a small change in the system parameters leads to an exponentially strong change of the rate, with the…

Populations and Evolution · Quantitative Biology 2009-04-13 M. Khasin , M. I. Dykman

The notion that natural disasters can be controlled is, of course, farcical; history is permeated with examples of countless failed attempts at this pointless task; it is synonymous with trying to build a perpetual motion machine.…

Applications · Statistics 2008-08-19 Louis Mello

Many mechanisms, functions and structures of life have been unraveled. However, the fundamental driving force that propelled chemical evolution and led to life has remained obscure. The 2nd law of thermodynamics, written as an equation of…

Populations and Evolution · Quantitative Biology 2009-10-15 Arto Annila , Erkki Annila

The adaptation rate in theoretical models of biological evolution increases with the mutation rate but only to a point when mutations into lethal states cause extinction. One would expect that removing such states should be beneficial for…

Populations and Evolution · Quantitative Biology 2024-06-27 Viktoria Blavatska , Bartlomiej Waclaw

Weak selection, which means a phenotype is slightly advantageous over another, is an important limiting case in evolutionary biology. Recently it has been introduced into evolutionary game theory. In evolutionary game dynamics, the…

Populations and Evolution · Quantitative Biology 2010-10-15 Bin Wu , Philipp M. Altrock , Long Wang , Arne Traulsen

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar

When mutation rates are low, natural selection remains effective, and increasing the mutation rate can give rise to an increase in adaptation rate. When mutation rates are high to begin with, however, increasing the mutation rate may have a…

Populations and Evolution · Quantitative Biology 2012-11-06 Philip Gerrish , Alexandre Colato , Paul Sniegowski

A phenomenological theory of growth of the population of humankind is proposed. The theory based on the assumption about a multifractal nature of the set of number of people in temporal axis and contains control parameters. In particular…

Popular Physics · Physics 2007-05-23 L. Ya. Kobelev , L. L. Nugaeva

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

The evolution of complexity has been a central theme for Biology [2] and Artificial Life research [1]. It is generally agreed that complexity has increased in our universe, giving way to life, multi-cellularity, societies, and systems of…

Populations and Evolution · Quantitative Biology 2011-09-06 Carlos Gershenson , Tom Lenaerts

In an attempt to explain the uniqueness of the coding mechanism of living cells as contrasted with multi-species structure of ecosystems we examine two models of individuals with some replicative properties. In the first model the system…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski

Statistical analysis indicates that the fossil extinction record is compatible with a distribution of extinction events whose frequency is related to their size by a power law with an exponent close to two. This result is in agreement with…

adap-org · Physics 2008-02-03 M. E. J. Newman

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

Sex is considered as an evolutionary paradox, since its evolutionary advantage does not necessarily overcome the two fold cost of sharing half of one's offspring's genome with another member of the population. Here we demonstrate that…

Populations and Evolution · Quantitative Biology 2015-05-13 Alexander Feigel , Avraham Englander , Assaf Engel

A list of open problems on global behavior in time of some evolution systems, mainly governed by P.D.E, is given together with some background information explaining the context in which these problems appeared. The common characteristic of…

Analysis of PDEs · Mathematics 2015-12-22 Alain Haraux

If human societies are so complex, then how can we hope to understand them? Artificial Life gives us one answer. The field of Artificial Life comprises a diverse set of introspective studies that largely ask the same questions, albeit from…

Artificial Intelligence · Computer Science 2023-02-07 Soo Ling Lim , Peter J. Bentley

This paper motivates the study of decision theory as necessary for aligning smarter-than-human artificial systems with human interests. We discuss the shortcomings of two standard formulations of decision theory, and demonstrate that they…

Artificial Intelligence · Computer Science 2015-07-09 Nate Soares , Benja Fallenstein

Neural codes appear efficient. Naturally, neuroscientists contend that an efficient process is responsible for generating efficient codes. They argue that natural selection is the efficient process that generates those codes. Although…

Neurons and Cognition · Quantitative Biology 2022-03-21 Han Kim

We are interested in modeling Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions. The population is modeled as a stochastic point process whose generator captures…

Probability · Mathematics 2011-02-01 Benjamin Jourdain , Sylvie Méléard , Wojbor Woyczynski
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