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Neimark-Sacker bifurcation and stability analysis in a discrete phytoplankton-zooplankton system with Holling type II functional response

Neimark-Sacker bifurcation and stability analysis in a discrete phytoplankton-zooplankton system with Holling type II functional response

来源:Arxiv_logoArxiv
英文摘要

In this paper, we study discrete-time model of phytoplankton-zooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at the one of positive fixed points for certain parameter chosen as a bifurcation parameter. The existence and local stability of the positive fixed points of the model are proved. By considering theoretical results in the concrete example, it was obtained interesting dynamics of this system, which is not investigated in its corresponding continuous system.

Sobirjon Shoyimardonov

生物科学研究方法、生物科学研究技术数学

Sobirjon Shoyimardonov.Neimark-Sacker bifurcation and stability analysis in a discrete phytoplankton-zooplankton system with Holling type II functional response[EB/OL].(2022-07-05)[2025-08-18].https://arxiv.org/abs/2207.01961.点此复制

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