IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-97-5369-7_12.html
   My bibliography  Save this book chapter

The Effect of Herd-Taxis

In: Pattern Dynamics of Marine Plankton Behavior

Author

Listed:
  • Shu Tang Liu

    (Shandong University, College of Control Science and Engineering)

  • Li Zhang

    (Shandong University of Political Science and Law, Business School, College of Control Science and Engineering)

Abstract

In this chapter, the herd-taxi is considered for a plankton community composed of phytoplankton (prey) and zooplankton (predators) because that the herd-taxis indicates the effect of the zooplankton on the higher density zone of phytoplankton and generation of the conformity behavior leading to the nonlinear cross-diffusion phenomena. We use the stability analysis to get the conditions of the Hopf stability and the Turing bifurcation. Moreover, the active foraging behavior of zooplankton plays important role in spatially stabilizing the algal system and smoothing the inhomogeneous distribution of plankton. Significantly, it is also in line with the economic basic idea that there exists an invisible hand regulating and balancing the distribution of plankton. In addition, the weakly nonlinear analysis is employed to establish amplitude equations in order to explore the effect of herd-taxis on the self-organization. Successfully, three types of patterns are found out such as spot patterns, stripe patterns, and mixed patterns of the spots and stripes. There also present some numerical simulations to validate the self-organization behaviors and help us further understand the interactions in plankton communities in the real world.

Suggested Citation

  • Shu Tang Liu & Li Zhang, 2024. "The Effect of Herd-Taxis," Springer Books, in: Pattern Dynamics of Marine Plankton Behavior, chapter 0, pages 217-233, Springer.
    • Handle: RePEc:spr:sprchp:978-981-97-5369-7_12
    DOI: 10.1007/978-981-97-5369-7_12
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-981-97-5369-7_12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.