Spatiotemporal pattern formation in a pollen tube model with nonlocal effect and time delay

Qingyan Shi and Yongli Song

Chaos, Solitons & Fractals, 2022, vol. 165, issue P1

Abstract: The dynamics of a pollen tube model with nonlocal effect and time delay is investigated in this paper. Compared with the model without delay, a double Hopf bifurcation due to the interaction of homogeneous and nonhomogeneous Hopf bifurcations can occur and quasi periodic patterns can be observed. Besides, the interaction of Turing bifurcation and spatially nonhomogeneous Hopf bifurcation will lead to some new spatiotemporal patterns.

Keywords: Pollen tube; Nonlocal effect; Time delay; Hopf bifurcation; Turing–Hopf; Double Hopf (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009778

DOI: 10.1016/j.chaos.2022.112798

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