Abstract

CORTES-GARCIA, Christian. Bifurcations in Model Gause Predator-Prey with discontinuity. Rev. Mat [online]. 2021, vol.28, n.2, pp.183-208. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v28i2.36084.

This paper presents the necessary conditions to guarantee the existence of a stable limit cycle in a predator - prey model and some geometrical aspects to perform a qualitative analysis in two - dimensional Filippov dynamic systems. With these defined guidelines, the dynamics of a predator - prey model are studied when exploitation in predators is restricted if the number of prey is lower than a critical value. The study is carried out by the bifurcation analysis in relation to two parameters: exploitation and protection of the populations to interact.

Keywords : planar systems Filippov; bifurcation analysis; limit cycles predatorprey systems; cicly Canard..

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