IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v196y2022icp166-191.html
   My bibliography  Save this article

Dynamics of a delayed toxin producing plankton model with variable search rate of zooplankton

Author

Listed:
  • Mondal, Sudeshna
  • Samanta, Guruprasad

Abstract

In this work, we have investigated a phytoplankton–zooplankton model system such that the toxic liberation by toxic producing phytoplankton obeys a discrete time lag. Here, we have taken modified Holling type II functional response, based on the fact that search rate of zooplankton depends on the biomass of phytoplankton, rather than constant. The similarities but also important differences between our studied model and Holling type II system are discussed. The basic dynamical properties of the proposed model have been studied briefly in absence of delay factor. Next, we have analyzed the dynamic nature of the delayed system and also found the existence of stability switching phenomena. Numerical simulations are conducted to validate our analytical findings using MATLAB. Numerically, the phenomena of bistability has been recognized. Lastly, our proposed deterministic system has been compared with a stochastic model using Gaussian white noise terms due to the effect of environmental fluctuations.

Suggested Citation

  • Mondal, Sudeshna & Samanta, Guruprasad, 2022. "Dynamics of a delayed toxin producing plankton model with variable search rate of zooplankton," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 166-191.
  • Handle: RePEc:eee:matcom:v:196:y:2022:i:c:p:166-191
    DOI: 10.1016/j.matcom.2022.01.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475422000350
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2022.01.022?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. Mondal, Sudeshna & Samanta, G.P., 2019. "Dynamics of an additional food provided predator–prey system with prey refuge dependent on both species and constant harvest in predator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    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. Sudeshna Mondal & Guruprasad Samanta & Manuel De la Sen, 2022. "Dynamics of Oxygen-Plankton Model with Variable Zooplankton Search Rate in Deterministic and Fluctuating Environments," Mathematics, MDPI, vol. 10(10), pages 1-24, May.

    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. Das, Meghadri & Samanta, G.P., 2020. "A delayed fractional order food chain model with fear effect and prey refuge," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 218-245.
    2. Yang, Yafei & Fan, Meng, 2023. "Impact of selective grazing on the dynamics of a diffusive plankton model with component Allee effect and additional food," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. 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).
    4. Mandal, Saroj Kumar & Poria, Swarup, 2023. "A study of Michaelis–Menten type harvesting effects on a population in stochastic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).

    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:matcom:v:196:y:2022:i:c:p:166-191. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.