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Pattern dynamics analysis of a space–time discrete spruce budworm model

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  • Li, Tianhua
  • Zhang, Xuetian
  • Zhang, Chunrui

Abstract

In view of the living habits of the spruce budworm, a space–time discrete model with periodic boundary conditions is established. Through the analysis of the effect of diffusion, rich dynamic properties are obtained, such as chaotic phenomena, stable spatially homogeneous states, pure Turing instability, spatially homogeneous periodic oscillations, and Flip-Turing instability. These findings hold significant biological significance and offer valuable insights for research in ecosystem stability study, pest control strategies, as well as evolution and adaptation studies. In addition, the relationship between complex patterns and biological mechanisms is discussed. The results in this paper can help people better understand the biological significance of controlling the spruce budworm.

Suggested Citation

  • Li, Tianhua & Zhang, Xuetian & Zhang, Chunrui, 2024. "Pattern dynamics analysis of a space–time discrete spruce budworm model," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013255
    DOI: 10.1016/j.chaos.2023.114423
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    References listed on IDEAS

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    1. Xu, Li & Liu, Jiayi & Zhang, Guang, 2018. "Pattern formation and parameter inversion for a discrete Lotka–Volterra cooperative system," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 226-231.
    2. Zhang, Guang & Zhang, Ruixuan & Yan, Yubin, 2020. "The diffusion-driven instability and complexity for a single-handed discrete Fisher equation," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    3. Xuetian Zhang & Chunrui Zhang & Jesus M. Munoz-Pacheco, 2023. "The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2023, pages 1-30, April.
    4. Han, Xiaoling & Lei, Ceyu, 2023. "Bifurcation and turing instability analysis for a space- and time-discrete predator–prey system with Smith growth function," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    5. Wang, Jinliang & Li, You & Zhong, Shihong & Hou, Xiaojie, 2019. "Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 1-17.
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