Bifurcation and Chaos in a Class of Population Strategy-regulated Marine Nutrient-phytoplankton-zooplankton Filippov Model
LIU Jiangang
WEI Zhouchao
Abstract：Aiming at the stability of the planktonic model under the regulation of population strategy and multiple bifurcation and chaos phenomena,a class of three-dimensional nutrient-phytoplankton-zooplankton Filippov models related to marine ecosystems was established.Qualitative techniques were used to investigate the stability of equilibria and bifurcation sets in subsystems and sliding vector fields,yielding enriched behaviors such as transcritical bifurcations and sliding bifurcations.It was finally demonstrated that the model experienced period doubling bifurcation and chaos when the threshold parameter was controlled around 0.1.This study could be applied to practical fields such as marine ecological protection,which could be conducive to the promotion of the dynamical theory of Filippov ecosystems.
Keywords：nutrient-phytoplankton-zooplankton Filippov modelnon-smooth dynamical systemsstabilitysliding bifurcationchaos
Publication Date：2024-06-20
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 254-259 )