A reaction–diffusion model for phenotypic evolution
Autor: | Wilson Castro Ferreira, Raul Abreu de Assis |
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Rok vydání: | 2016 |
Předmět: |
0106 biological sciences
0301 basic medicine 03 medical and health sciences Computational Mathematics 030104 developmental biology Differential equation Applied Mathematics Reaction–diffusion system Statistical physics Evolutionary dynamics 010603 evolutionary biology 01 natural sciences Mathematics |
Zdroj: | Computational and Applied Mathematics. 37:235-254 |
ISSN: | 1807-0302 0101-8205 |
DOI: | 10.1007/s40314-016-0343-7 |
Popis: | We present a reaction–diffusion mathematical model for the evolutionary dynamics of phenotypic evolution. A detailed deduction of the equations is presented for the one-dimensional version, from which a more general model is proposed. Particular cases are studied using analytical approximations and numerical simulations. Results indicate that the approach proposed produces results that are coherent with mainstream models in evolutionary dynamics, suggesting that the reaction–diffusion model could be an alternative tool in the analysis of evolutionary dynamics. |
Databáze: | OpenAIRE |
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