Asymptotic Expansions for the Sequences of the Modified Discrete Delay Logistic Model Type

• Dumitru Popa ^[1]
  1. [1] Ovidius University of Constanta
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • As a consequence of some general results we find the asymptotic expansions for the recurrence xn+1 = xn 1+βxn−k , β > 0. This can be viewed as a modified version of the well-known discrete delay logistic model xn+1 = αxn 1+βxn−k , α ≥ 1, β > 0. We mention that in this case appear a real constant associated with this sequence. Moreover, for various other recursive sequences we find their asymptotic expansions.