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Proceedings Paper

Parametric excitation in a predator-prey model

Publicated to:First 60 Years Of Nonlinear Analysis Of Jean Mawhin. 41-54 - 2004-01-01 (), DOI: 10.1142/9789812702906_0004

Authors: Casal, AC; Somolinos, AS

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Abstract

We consider a predator-prey model in which the prey reproduces according to a logistic law, and the predator has a finite intake capacity. For constant coefficients and some range of parameters there is a Hopf bifurcation. We consider the case when the carrying capacity fluctuates periodically in time. We show that there exists a periodic solution of the same frequency as the carrying capacity. We also analyze the interaction of this solution with the Hopf oscillation. We can see that there is a gain of stability in the Hopf process.

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Bibliometric impact. Analysis of the contribution and dissemination channel

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-04:

  • Open Alex: 3
  • WoS: 2

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (CASAL PIGA, ALFONSO CARLOS) .

the author responsible for correspondence tasks has been CASAL PIGA, ALFONSO CARLOS.