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Mathematics of Darwin’s Diagram

Nikolai Bessonov 1 Reinberg Natalia 1 Vitaly Volpert 2, 3
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
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.
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https://hal.inria.fr/hal-01097152
Contributor : Vitaly Volpert <>
Submitted on : Friday, December 19, 2014 - 6:53:29 AM
Last modification on : Tuesday, July 14, 2020 - 11:04:06 AM

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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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