Mathematics of Darwin’s Diagram

Nikolai Bessonov 1 Reinberg Natalia 1 Vitaly Volpert 2
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGMC - Centre de génétique moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne], UCBL - Université Claude Bernard Lyon 1 : EA
Abstract : Darwin illustrated his theory about emergence and evolution of biological species with a diagram. It shows how species exist, evolve, appear and disappear. The goal of this work is to give a mathematical interpretation of this diagram and to show how it can be reproduced in mathematical models. It appears that conventional models in population dynamics are not sufficient, and we introduce a number of new models which take into account local, nonlocal and global consumption of resources, and models with space and time dependent coefficients.
Type de document :
Article dans une revue
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2014, 9 (3), pp.5-25. 〈10.1051/mmnp/20149302〉
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https://hal.inria.fr/hal-01097152
Contributeur : Vitaly Volpert <>
Soumis le : vendredi 19 décembre 2014 - 06:53:29
Dernière modification le : mardi 16 janvier 2018 - 14:43:12

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Nikolai Bessonov, Reinberg Natalia, Vitaly Volpert. Mathematics of Darwin’s Diagram. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2014, 9 (3), pp.5-25. 〈10.1051/mmnp/20149302〉. 〈hal-01097152〉

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