A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species

作者：Schlemm Eckhard^*

来源：Mathematical Biosciences, 2015, 267: 53-60.

DOI：10.1016/j.mbs.2015.06.011

• Bak-Sneppen model
• Evolutionary biology
• Hypergeometric function
• Markov chain
• Steady-state distribution

The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation of order five with hypergeometric coefficients. Similar representations for the asymptotic fitness distribution in larger systems may help pave the way towards a resolution of the question of whether or not, in t

• 出版日期2015-9