IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v09y2006i01n02ns0219525906000616.html
   My bibliography  Save this article

Permanence, Average Persistence And Extinction In Nonautonomous Single-Species Growth Chemostat Models

Author

Listed:
  • MEHBUBA REHIM

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China)

  • ZHIDONG TENG

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China)

Abstract

Non-autonomous single-species growth chemostat models with general response functions are considered. In the models, the dilution rate and removal rate are allowed to be different from each other. A series of new criteria on the boundedness, permanence, persistence, average persistence and extinction of the population is established. In particular, when models degenerate into the almost periodic case, the equivalences of the permanence, persistence and average persistence of species are obtained. These results improve and extend some well-known corresponding results obtained in Refs. 1, 14 and 17.

Suggested Citation

  • Mehbuba Rehim & Zhidong Teng, 2006. "Permanence, Average Persistence And Extinction In Nonautonomous Single-Species Growth Chemostat Models," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(01n02), pages 41-58.
    • Handle: RePEc:wsi:acsxxx:v:09:y:2006:i:01n02:n:s0219525906000616
    DOI: 10.1142/S0219525906000616
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525906000616
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219525906000616?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. ., 2000. "Hicks on time and money," Chapters, in: Macroeconomic Instability and Coordination, chapter 5, Edward Elgar Publishing.
    2. N/A, 2000. "At a Glance ... The UK economy," National Institute Economic Review, National Institute of Economic and Social Research, vol. 173(1), pages 2-2, July.
    3. anonymous, 2000. "Oak Cliff Gateway TIF District," Banking and Community Perspectives, Federal Reserve Bank of Dallas, issue Q4, pages 6-8.
    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. Rodriguez Cartabia, Mauro, 2023. "Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth," Chaos, Solitons & Fractals, Elsevier, vol. 172(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. Beki̇r Çakir & Ayhan Özmen & Ülfet Atav & Hüseyi̇n Yüksel & Yusuf Yakar, 2008. "Calculation Of Electronic Structure Of A Spherical Quantum Dot Using A Combination Of Quantum Genetic Algorithm And Hartree–Fock–Roothaan Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 599-609.
    2. Taylor, J.B., 2016. "The Staying Power of Staggered Wage and Price Setting Models in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2009-2042, Elsevier.
    3. AREZKY H. RODRÍGUEZ & M. del CASTILLO-MUSSOT & G. J. VÁZQUEZ, 2009. "Induced Monoculture In Axelrod Model With Clever Mass Media," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1233-1245.
    4. Beckworth, David, 2017. "Permanent versus temporary monetary base Injections: Implications for past and future Fed Policy," Journal of Macroeconomics, Elsevier, vol. 54(PA), pages 110-126.
    5. Karina I. Mazzitello & Julián Candia & Víctor Dossetti, 2007. "Effects Of Mass Media And Cultural Drift In A Model For Social Influence," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1475-1482.

    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:wsi:acsxxx:v:09:y:2006:i:01n02:n:s0219525906000616. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.