IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v317y2018icp35-48.html
   My bibliography  Save this article

Analysis of a predator-prey model for exploited fish populations with schooling behavior

Author

Listed:
  • Manna, Debasis
  • Maiti, Alakes
  • Samanta, G.P.

Abstract

In this paper, a predator-prey model for exploited fish populations is considered, where the prey and the predator both show schooling behavior. Due to this coordinated behavior, predator-prey interaction occurs only at the outer edge of the schools formed by the populations. Positivity and boundedness of the model are discussed. Analysis of the equilibria is presented. A criterion for Hopf bifurcation is obtained. The optimal harvest policy is also discussed using Pontryagin’s maximum principle, where the effort is used as the control parameter. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically.

Suggested Citation

  • Manna, Debasis & Maiti, Alakes & Samanta, G.P., 2018. "Analysis of a predator-prey model for exploited fish populations with schooling behavior," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 35-48.
    • Handle: RePEc:eee:apmaco:v:317:y:2018:i:c:p:35-48
    DOI: 10.1016/j.amc.2017.08.052
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317306100
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.08.052?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marzano, Annalisa, 2013. "Harvesting the Sea: The Exploitation of Marine Resources in the Roman Mediterranean," OUP Catalogue, Oxford University Press, number 9780199675623.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Das, Amartya & Samanta, G.P., 2020. "A prey–predator model with refuge for prey and additional food for predator in a fluctuating environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    2. Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Shang, Lihui & Xu, Zhiqiang, 2023. "Adaptive control strategy improves synchronization of self-propelled agents," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    4. Das, Amartya & Samanta, G.P., 2018. "Stochastic prey–predator model with additional food for predator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 121-141.
    5. You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Daniela Summa & Edoardo Turolla & Mattia Lanzoni & Elena Tamisari & Giuseppe Castaldelli & Elena Tamburini, 2023. "Life Cycle Assessment (LCA) of Two Different Oyster ( Crassostrea gigas ) Farming Strategies in the Sacca di Goro, Northern Adriatic Sea, Italy," Resources, MDPI, vol. 12(6), pages 1-14, May.
    2. Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Elena Tamburini & Elisa Anna Fano & Giuseppe Castaldelli & Edoardo Turolla, 2019. "Life Cycle Assessment of Oyster Farming in the Po Delta, Northern Italy," Resources, MDPI, vol. 8(4), pages 1-17, October.

    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:eee:apmaco:v:317:y:2018:i:c:p:35-48. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.