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

Abstract

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

• Zooplankton-phytoplankton model
• Delays
• Limit cycle
• Hopf bifurcation