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Global Hopf bifurcation for two zooplankton-phytoplankton model with two delays

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In this paper, we study the global existence of a bifurcating periodic solution for a two zooplankton-phytoplankton model with two delays. First, we demonstrate that the bifurcating periodic solution exists… Click to show full abstract

In this paper, we study the global existence of a bifurcating periodic solution for a two zooplankton-phytoplankton model with two delays. First, we demonstrate that the bifurcating periodic solution exists when one delay increases and the other delay remains unchanged. Second, we give simulation to describe the bifurcating periodic solution when one delay increases. Our work answers the question in Sect. 5 (Shi and Yu in Chaos Solitons Fractals 100:62–73, 2017 ).

Keywords: phytoplankton model; zooplankton phytoplankton; two delays; model two; two zooplankton

Journal Title: Advances in Difference Equations
Year Published: 2020

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