The Origin of Species by Means of Mathematical Modelling

Darwin described biological species as groups of morphologically similar individuals. These groups of individuals can split into several subgroups due to natural selection, resulting in the emergence of new species. Some species can stay stable without the appearance of a new species, some others can disappear or evolve. Some of these evolutionary patterns were described in our previous works independently of each other. In this work we have developed a single model which allows us to reproduce the principal patterns in Darwin's diagram. Some more complex evolutionary patterns are also observed. The relation between Darwin's definition of species, stated above, and Mayr's definition of species (group of individuals that can reproduce) is also discussed.

Authors
Bessonov N.1 , Reinberg N.2 , Banerjee M.3 , Volpert V. 4, 5, 6, 7
Journal
Acta biotheoretica
Publisher
NLM (Medline)
Number of issue
4
Language
English
Pages
333-344
Status
Published
Link
External link
DOI
10.1007/s10441-018-9328-9
Volume
66
Year
2018
Organizations
  • 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
  • 2 Oakland University, Rochester, MI 48309, United States
  • 3 Department of Mathematics and Statistics, IIT Kanpur, Kanpur, India
  • 4 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 5 INRIA, Universite de Lyon, Institut Camille Jordan, Universite Lyon 143 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 6 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 7 Poncelet Center, UMI 2615 CNRS, Moscow, 119002, Russian Federation
Keywords
Darwin’s diagram; Nonlocal reaction-diffusion equations; Pulses; Travelling waves
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36230/
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