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Fecha
2017-08-01
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editorial
ELSEVIER
Citas
Resumen
The paper contains new results on the impact of harvesting times and intensities on the stability properties of Seno population models. It is proved that sufficiently high harvest intensities are stabilizing for any harvesting time in the sense that they create a positive equilibrium that attracts all positive solutions. Moreover, in the special case that the nonlinearity in the Seno model is a Ricker function, we derive a global stability result independent of timing and valid for low to medium harvesting efforts. The proof is based on a characterization of those harvesting intensities which guarantee a negative Schwarzian derivative for all harvesting times. Finally, we rigorously show that timing can be stabilizing as well as destabilizing by itself. In particular, a recent conjecture formulated by Cid et al. (2014) [1] is shown to be false.
Descripción
This is the Accepted Manuscript of an article published by Elsevier in "Applied Mathematical Modelling, Volume 48, 2017", available online: https://doi.org/10.1016/j.apm.2017.02.048
Este es el manuscrito aceptado de un artículo publicado por Elsevier en " Applied Mathematical Modelling, Volume 48, 2017", disponible en línea: https://doi.org/10.1016/j.apm.2017.02.048
Este es el manuscrito aceptado de un artículo publicado por Elsevier en " Applied Mathematical Modelling, Volume 48, 2017", disponible en línea: https://doi.org/10.1016/j.apm.2017.02.048
Categorías UNESCO
Palabras clave
constant effort harvesting, discrete population model, stabilization, ricker map, schwarzian derivative
Citación
Daniel Franco, Hartmut Logemann, Juan Perán, Juan Segura, Dynamics of the discrete Seno population model: Combined effects of harvest timing and intensity on population stability, Applied Mathematical Modelling, Volume 48, 2017, Pages 885-898, ISSN 0307-904X, https://doi.org/10.1016/j.apm.2017.02.048
Centro
Facultad de Ciencias
Departamento
Matemática Aplicada I