IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v340y2016icp64-73.html
   My bibliography  Save this article

Dynamics of populations with delayed density dependent birth rate regulation

Author

Listed:
  • Neverova, G.P.
  • Yarovenko, I.P.
  • Frisman, E.Ya.

Abstract

This study focuses on the Moran–Ricker model with time lag for the dynamics of limited homogeneous population. The reduction of required resources is caused by their consumption by the previous generation, which corresponds to delayed density dependence. The model shows multimodality. The population can demonstrate different types of dynamics (i.e., stable, periodic, or chaotic) at the same values of demographic parameters. The Moran–Ricker model with time lag can successfully describe the population dynamics of some insect species. The point estimations of population parameters are statistically significant. The obtained point estimates that correspond to real population dynamics are located in a quasi-periodic fluctuation area and adjoin other dynamic modes. A variation of the values of demographic parameters or random fluctuations of the current population size can lead to dynamic mode change. The investigation of the possible model dynamic modes near the found point estimation of parameters is necessary to identify the dynamic modes between which transition may occur.

Suggested Citation

  • Neverova, G.P. & Yarovenko, I.P. & Frisman, E.Ya., 2016. "Dynamics of populations with delayed density dependent birth rate regulation," Ecological Modelling, Elsevier, vol. 340(C), pages 64-73.
    • Handle: RePEc:eee:ecomod:v:340:y:2016:i:c:p:64-73
    DOI: 10.1016/j.ecolmodel.2016.09.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380016303817
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2016.09.005?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. Nedorezov, L.V. & Sadykova, D.L., 2015. "Dynamics of larch bud moth populations: Application of Moran – Ricker models with time lag," Ecological Modelling, Elsevier, vol. 297(C), pages 26-32.
    2. Golinski, Michael & Bauch, Chris & Anand, Madhur, 2008. "The effects of endogenous ecological memory on population stability and resilience in a variable environment," Ecological Modelling, Elsevier, vol. 212(3), pages 334-341.
    3. Nedorezov, Lev V. & Sadykova, Dinara L., 2008. "Green oak leaf roller moth dynamics: An application of discrete time mathematical models," Ecological Modelling, Elsevier, vol. 212(1), pages 162-170.
    4. Frisman, E.Y. & Neverova, G.P. & Revutskaya, O.L., 2011. "Complex dynamics of the population with a simple age structure," Ecological Modelling, Elsevier, vol. 222(12), pages 1943-1950.
    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. Bo Li & Zimeng Yuan & Zohreh Eskandari, 2023. "Dynamics and Bifurcations of a Discrete-Time Moran-Ricker Model with a Time Delay," Mathematics, MDPI, vol. 11(11), pages 1-14, 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. Kapeller, Stefan & Schroeder, Hilke & Schueler, Silvio, 2011. "Modelling the spatial population dynamics of the green oak leaf roller (Tortrix viridana) using density dependent competitive interactions: Effects of herbivore mortality and varying host-plant qualit," Ecological Modelling, Elsevier, vol. 222(7), pages 1293-1302.
    2. Bo Li & Zimeng Yuan & Zohreh Eskandari, 2023. "Dynamics and Bifurcations of a Discrete-Time Moran-Ricker Model with a Time Delay," Mathematics, MDPI, vol. 11(11), pages 1-14, May.
    3. Efim Frisman & Matvey Kulakov, 2023. "Transition from Bi- to Quadro-Stability in Models of Population Dynamics and Evolution," Mathematics, MDPI, vol. 11(19), pages 1-28, September.
    4. Matvey Kulakov & Efim Frisman, 2023. "Clustering Synchronization in a Model of the 2D Spatio-Temporal Dynamics of an Age-Structured Population with Long-Range Interactions," Mathematics, MDPI, vol. 11(9), pages 1-21, April.

    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:ecomod:v:340:y:2016:i:c:p:64-73. 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/ecological-modelling .

    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.