JOURNAL ARTICLE

Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model.

  • Published In: International Journal of Biomathematics, 2025, v. 18, n. 4. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Wu, Ming; Yao, Hongxing 3 of 3

Abstract

This study considers a model which incorporates delays, diffusion and toxicity in a phytoplankton–zooplankton system. Initially, we analyze the global existence, asymptotic behavior and persistence of the solution. We then analyze the equilibria's local stability and investigate the non-delayed system's bifurcation phenomena, including Turing and Hopf bifurcations and their combination. Subsequently, we explore the effects of delays on bifurcation and the global stability of the system using Lyapunov functional, focusing on Hopf and Turing–Hopf bifurcations. Finally, we present numerical simulations to validate the theoretical results and verify the emergence of various spatial patterns in the system. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Biomathematics. 2025/05, Vol. 18, Issue 4, p1
  • Document Type:Article
  • Subject Area:Biology
  • Publication Date:2025
  • ISSN:1793-5245
  • DOI:10.1142/S1793524523501152
  • Accession Number:184275150
  • Copyright Statement:Copyright of International Journal of Biomathematics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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