The Origin of Species by Means of Mathematical Modelling.
| Title: | The Origin of Species by Means of Mathematical Modelling. |
|---|---|
| Authors: | Bessonov N; Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russian Federation, 199178.; Reinberg N; Oakland University, Rochester, MI, 48309, USA.; Banerjee M; Department of Mathematics and Statistics, IIT Kanpur, Kanpur, India.; Volpert V; Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622, Villeurbanne, France. volpert@math.univ-lyon1.fr.; INRIA, Universite de Lyon, Universite Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, 69200, Villeurbanne Cedex, France. volpert@math.univ-lyon1.fr.; Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, Russian Federation, 117198. volpert@math.univ-lyon1.fr.; Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow, Russian Federation, 119002. volpert@math.univ-lyon1.fr. |
| Source: | Acta biotheoretica [Acta Biotheor] 2018 Dec; Vol. 66 (4), pp. 333-344. Date of Electronic Publication: 2018 Apr 30. |
| Publication Type: | Journal Article |
| Language: | English |
| Journal Info: | Publisher: Springer Country of Publication: Netherlands NLM ID: 0421520 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1572-8358 (Electronic) Linking ISSN: 00015342 NLM ISO Abbreviation: Acta Biotheor Subsets: MEDLINE |
| Imprint Name(s): | Publication: 2005- : Dordrecht : Springer; Original Publication: Leyden, Brill. |
| MeSH Terms: | Biological Evolution* ; Models, Biological* ; Predatory Behavior*; Animals ; Computer Simulation ; Female ; Male ; Phenotype ; Population Density ; Population Dynamics ; Reproduction ; Selection, Genetic |
| Abstract: | 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. |
| Grant Information: | 02.a03.21.0008 Ministry of Education and Science figof the Russian Federation |
| Contributed Indexing: | Keywords: Darwin’s diagram; Nonlocal reaction-diffusion equations; Pulses; Travelling waves |
| Entry Date(s): | Date Created: 20180502 Date Completed: 20190305 Latest Revision: 20190305 |
| Update Code: | 20260130 |
| DOI: | 10.1007/s10441-018-9328-9 |
| PMID: | 29713844 |
| Database: | MEDLINE |
Journal Article