Exact analytical results in a simple model of self-organized biological evolution

Exact analytical results in a simple model of self-organized biological evolution

The random neighbor version of the Bak-Sneppen model of self-organized biological evolution is studied by using of master equation. The exact solutions of master equations are constructed both for infinite and for finite systems. The large time asymptotic for dynamical characteristics of the system...

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Biological Evolution
Critical Dynamic
Finite System
Infinite System
Master Equation
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description The random neighbor version of the Bak-Sneppen model of self-organized biological evolution is studied by using of master equation. The exact solutions of master equations are constructed both for infinite and for finite systems. The large time asymptotic for dynamical characteristics of the system is analyzed. The simplest of the receiving by variable transformations forms of the master equation is found.
doi_str_mv 10.1007/BFb0105021
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1616-6361
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subjects Biological Evolution
Critical Dynamic
Finite System
Infinite System
Master Equation
title Exact analytical results in a simple model of self-organized biological evolution
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