Evolutionary distributions: Producer-consumer pattern formation

Yosef Cohen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

An evolutionary distribution (ED) is defined as a solution of a system of reaction-diffusion equations that mimic Darwinian evolution. To each ED, there belongs a separate adaptive space in which phenotypes evolve by diffusion along adaptive traits. The diffusion is caused by random mutations. Analysis of a producer-consumer ED in parametric space reveals regions where intricate symmetric patterns emerge. Such patterns emerge from models of evolution by natural selection which may explain why they appear in Nature. The patterns are stationary and stable in time and in the adaptive space. No Turing instability arises for ED systems compared with systems where diffusion is in physical space.

Original languageEnglish (US)
Pages (from-to)253-267
Number of pages15
JournalJournal of Biological Dynamics
Volume5
Issue number3
DOIs
StatePublished - May 1 2011

Keywords

  • Adaptation
  • Bifurcations
  • Evolution
  • Evolutionary distributions
  • PDE
  • Patterns
  • Reaction-diffusion
  • Turing

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