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Mathematics of Darwin’s Diagram

  • N. Bessonov (a1), N. Reinberg (a1) and V. Volpert (a2)


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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Mathematics of Darwin’s Diagram

  • N. Bessonov (a1), N. Reinberg (a1) and V. Volpert (a2)


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