2024
DOI: 10.3934/era.2024209
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Hopf bifurcation for a class of predator-prey system with small immigration

Maurıicio F. S. Lima,
Jaume Llibre

Abstract: <p>The subject of this paper concerns with the bifurcation of limit cycles for a predator-prey model with small immigration. Since, in general, the biological systems are not isolated, taking into account immigration in the model becomes more realistic. In this context, we deal with a model with a Holling type Ⅰ function response and study, using averaging theory of second order, the Hopf bifurcation that can emerge under small perturbation of the biological parameters.</p>

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