Abstract

CORTES, Christian Camilo  and  HERNANDEZ, Juan David. Population dynamics with protection and harvesting of a species. Rev.colomb.mat. [online]. 2022, vol.56, n.2, pp.113-131.  Epub Jan 05, 2024. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v56n2.108369.

In this work we study the dynamics associated to the interaction of juveniles and adults of the same species, where the harvesting of adults is not allowed when the number of adults is below a critical value. This study is carried out by bifurcation analysis, for a Filippov system, in relation to two parameters: harvesting and protection of the adult species.

Keywords : Filipov systems; bifurcation; sliding segment; Poincare- Bendixson criteria; limit cycle.

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