IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v113y2017icp34-46.html
   My bibliography  Save this article

Multiple coexistence equilibria in a two parasitoid-one host model

Author

Listed:
  • Pfab, Ferdinand
  • Diekmann, Odo
  • Bhattacharya, Souvik
  • Pugliese, Andrea

Abstract

Briggs et al. (1993) introduced a host–parasitoid model for the dynamics of a system with two parasitoids that attack different juvenile stages of a common host. Their main result was that coexistence of the parasitoids is only possible when there is sufficient variability in the maturation delays of the host juvenile stages. Here, we analyze the phenomenon of coexistence in that model more deeply. We show that with some distribution families for the maturation delays, the coexistence equilibrium is unique, while with other distributions multiple coexistence equilibria can be found. In particular, we find that stable coexistence does not necessarily require mutual invasibility.

Suggested Citation

  • Pfab, Ferdinand & Diekmann, Odo & Bhattacharya, Souvik & Pugliese, Andrea, 2017. "Multiple coexistence equilibria in a two parasitoid-one host model," Theoretical Population Biology, Elsevier, vol. 113(C), pages 34-46.
    • Handle: RePEc:eee:thpobi:v:113:y:2017:i:c:p:34-46
    DOI: 10.1016/j.tpb.2016.10.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580916300831
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2016.10.002?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. Buonomo, Bruno & Cerasuolo, Marianna, 2014. "Stability and bifurcation in plant–pathogens interactions," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 858-871.
    2. Pimenov, Alexander & Kelly, Thomas C. & Korobeinikov, Andrei & O’Callaghan, Michael J.A. & Rachinskii, Dmitrii, 2015. "Adaptive behaviour and multiple equilibrium states in a predator–prey model," Theoretical Population Biology, Elsevier, vol. 101(C), pages 24-30.
    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. Yousef, A.M. & Rida, S.Z. & Ali, H.M. & Zaki, A.S., 2023. "Stability, co-dimension two bifurcations and chaos control of a host-parasitoid model with mutual interference," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Adhikary, Prabir Das & Mukherjee, Saikat & Ghosh, Bapan, 2021. "Bifurcations and hydra effects in Bazykin’s predator–prey model," Theoretical Population Biology, Elsevier, vol. 140(C), pages 44-53.

    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. Adhikary, Prabir Das & Mukherjee, Saikat & Ghosh, Bapan, 2021. "Bifurcations and hydra effects in Bazykin’s predator–prey model," Theoretical Population Biology, Elsevier, vol. 140(C), pages 44-53.

    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:thpobi:v:113:y:2017:i:c:p:34-46. 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/intelligence .

    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.