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Journal Articles RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Year : 2023

EXAMPLES OF CREATIVE EXTINCTION IN DYNAMIC ECOLOGY

Evariste Sanchez Palencia
  • Function : relator_co_first_author
Jean-Pierre Françoise

Abstract

In problems of ecological dynamics involving bistability (two disjoint attractors A 1 and A 2), we present (with various examples) a natural ecological mechanism allowing the transfer from the attraction basin of A 1 to the other basin, so allowing to reach A 2 from any initial configuration. The mechanism involve an extra species which changes the dimension of the phase space and the topology of the attraction basins. The extra species disappear in a natural way, so that this mechanism keeps some relation with apoptosis, but is different of it.
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Dates and versions

hal-03953535 , version 1 (31-01-2023)

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Evariste Sanchez Palencia, Jean-Pierre Françoise. EXAMPLES OF CREATIVE EXTINCTION IN DYNAMIC ECOLOGY. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2023, 117 (1), pp.46. ⟨10.1007/s13398-022-01350-1⟩. ⟨hal-03953535⟩
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