Hopf bifurcation analysis of two zooplankton-phytoplankton model with two delays

Renxiang Shi and Jiang Yu

Chaos, Solitons & Fractals, 2017, vol. 100, issue C, 62-73

Abstract: We take the delays due to gestation of two kinds of zooplankton as parameters, the dynamics of a two zooplankton-phytoplankton model is studied, we discussed the dynamics under six conditions: (1) τ1=τ2=0,(2) τ1>0,τ2=0, (3) τ1=0,τ2>0, (4) τ1=τ2>0, (5) τ1 ∈ (0, τ10), τ2 > 0, (6) τ2 ∈ (0, τ20), τ1 > 0, the Hopf bifurcation about condition (5) should be studied by center manifold theorem and normal form. At last, some simulations are given to support our results

Keywords: Hopf bifurcation; Periodic solution; Phytoplankton-zooplankton model (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:100:y:2017:i:c:p:62-73

DOI: 10.1016/j.chaos.2017.04.044

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