IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v171y2020icp201-206.html
   My bibliography  Save this article

Stability analysis of Nicholson’s blowflies equation with two different delays

Author

Listed:
  • Huang, Chuangxia
  • Yang, Xiaoguang
  • Cao, Jinde

Abstract

This paper investigates an autonomous Nicholson’s blowflies equation incorporating two different delays. By using differential inequality techniques and dynamical system approaches, we establish two novel criteria to check the global exponential stability and asymptotical stability on the zero equilibrium point of the addressed equation, respectively. Our research partially answers an open question raised by Berezansky and Braverman (2017). A numerical example with simulations shows that the main theoretical results are correct.

Suggested Citation

  • Huang, Chuangxia & Yang, Xiaoguang & Cao, Jinde, 2020. "Stability analysis of Nicholson’s blowflies equation with two different delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 201-206.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:201-206
    DOI: 10.1016/j.matcom.2019.09.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475419302927
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2019.09.023?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. Győri, István & Hartung, Ferenc & Mohamady, Nahed A., 2015. "On a nonlinear delay population model," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 909-925.
    2. Berezansky, Leonid & Braverman, Elena, 2016. "Boundedness and persistence of delay differential equations with mixed nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 154-169.
    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. Huang, Chuangxia & Liu, Bingwen & Qian, Chaofan & Cao, Jinde, 2021. "Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1150-1163.
    2. Junrong Guo & Xiaolin Liu & Ping Yan, 2023. "Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(23), pages 1-18, November.
    3. Zhao, Xian & Huang, Chuangxia & Liu, Bingwen & Cao, Jinde, 2024. "Stability analysis of delay patch-constructed Nicholson’s blowflies system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 379-392.
    4. Lingping Zhang & Bo Du, 2022. "Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients," Mathematics, MDPI, vol. 10(20), pages 1-9, October.

    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. Pal, D. & Mahapatra, G.S., 2016. "Effect of toxic substance on delayed competitive allelopathic phytoplankton system with varying parameters through stability and bifurcation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 109-124.
    2. Amster, Pablo & Bondorevsky, Melanie, 2021. "Persistence and periodic solutions in systems of delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    3. Teresa Faria, 2021. "Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms," Mathematics, MDPI, vol. 9(3), pages 1-20, January.
    4. Berezansky, Leonid & Braverman, Elena, 2016. "Boundedness and persistence of delay differential equations with mixed nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 154-169.

    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:171:y:2020:i:c:p:201-206. 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.