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
Affiliations
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.
Keywords
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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.