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

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  • Shi, Qingyan
  • Song, Yongli

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.

Suggested Citation

  • Shi, Qingyan & Song, Yongli, 2022. "Spatiotemporal pattern formation in a pollen tube model with nonlocal effect and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009778
    DOI: 10.1016/j.chaos.2022.112798
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    1. Nan Luo & An Yan & Gang Liu & Jingzhe Guo & Duoyan Rong & Masahiro M. Kanaoka & Zhen Xiao & Guanshui Xu & Tetsuya Higashiyama & Xinping Cui & Zhenbiao Yang, 2017. "Exocytosis-coordinated mechanisms for tip growth underlie pollen tube growth guidance," Nature Communications, Nature, vol. 8(1), pages 1-10, December.
    2. Peng, Yahong & Zhang, Guoying, 2020. "Dynamics analysis of a predator–prey model with herd behavior and nonlocal prey competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 366-378.
    3. Steven J. Altschuler & Sigurd B. Angenent & Yanqin Wang & Lani F. Wu, 2008. "On the spontaneous emergence of cell polarity," Nature, Nature, vol. 454(7206), pages 886-889, August.
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