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Journal Articles Mathematical Modelling of Natural Phenomena Year : 2014

Mathematics of Darwin’s Diagram


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.

Dates and versions

hal-01097152 , version 1 (19-12-2014)



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