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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.56 no.2 Bogotá July/Dec. 2022 Epub Jan 05, 2024
https://doi.org/10.15446/recolma.v56n2.108369
Original articles
Population dynamics with protection and harvesting of a species
Dinámica poblacional con protección y explotación de una especie
1 Universidad Carlos III de Madrid, Madrid, España
2 Centro Nacional de Biotecnología, Madrid, España
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
En este trabajo se estudia la dinámica entre la interacción de jóvenes y adultos de una misma especie, donde la explotación de los adultos no es permitida cuando el número de adultos es inferior a un valor crítico. Este estudio es llevado a cabo por el análisis de bifurcación, para un sistema de Filippov, con relación a dos parámetros: explotación y protección de la especie adulta.
Palabras clave: Sistemas de Filippov; Bifurcación; segmento deslizante; criterio de Poincare-Bendinxson; ciclo limite
References
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Received: April 01, 2020; Accepted: August 13, 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
