RT Journal Article
T1 Dynamics and bifurcations of a family of piecewise smooth maps arising in population models with threshold harvesting
A1 Liz Marzán, Eduardo
A1 Lois-Prados, Cristina
K1 Nonlinear systems
K1 Dynamical systems
K1 Chaos control
K1 Mathematical modeling
K1 Real analysis
K1 Population ecology
AB We study a discrete-time model for a population subject to harvesting. A maximum annual catch H is fixed, but a minimum biomass level T must remain after harvesting. This leads to a mathematical model governed by a continuous piecewise smooth map, whose dynamics depend on two relevant parameters H and T. We combine analytical and numerical results to provide a comprehensive overview of the dynamics with special attention to discontinuity-induced (border-collision) bifurcations. We also discuss our findings in the context of harvest control rules.
PB American Institute of Physics
SN 1054-1500
YR 2020
FD 2020
LK http://hdl.handle.net/10347/31829
UL http://hdl.handle.net/10347/31829
LA eng
NO E. Liz, C. Lois-Prados (2020). Dynamics and bifurcations of a family of piecewise smooth maps arising in population models with threshold harvesting. Chaos, 30, 073108.
NO Eduardo Liz acknowledges the support of the Research Grant No. MTM2017–85054–C2–1–P (AEI/FEDER,UE). The research of Cristina Lois-Prados has been partially supported by the Ph.D. Scholarship No. FPU18/00719 (Ministerio de Ciencia, Innovación y Universidades, Spain) and Research Grant Nos. MTM2016-75140-P (AEI/FEDER, UE) and ED431C2019/02 (Xunta de Galicia).
DS Minerva
RD 24 abr 2026