9f197a1ece08f7f0bfb471ded23a5895  eleresarc_a2024v32n7p4604-4613.pdf
827ebdb1ab4f0f7d0f9b62c7b250a0fbabbf4e5f  eleresarc_a2024v32n7p4604-4613.pdf
652a2cb536dd7f54e79ef14925e7529af8461a71c5ea5e94e1a994b9fd936f5a  eleresarc_a2024v32n7p4604-4613.pdf

Title:           Hopf bifurcation for a class of predator-prey system with small immigration
Subject:         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.
Keywords:        predator-prey system; periodic orbit; limit cycle; Hopf bifurcation; averaging equation
Author:          Maurício Lima and Jaume Llibre
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